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Advances in Astronomy
Volume 2018, Article ID 4969503, 31 pages
https://doi.org/10.1155/2018/4969503
Review Article

Gamma-Ray Burst Prompt Correlations

1Physics Department, Stanford University, Via Pueblo Mall 382, Stanford, CA, USA
2INAF, Istituto di Astrofisica Spaziale e Fisica Cosmica, Via Gobetti 101, 40129 Bologna, Italy
3Astronomical Observatory, Jagiellonian University, Orla 171, 30-244 Kraków, Poland

Correspondence should be addressed to M. G. Dainotti; ude.drofnats@ttoniadm

Received 25 May 2016; Accepted 27 November 2016; Published 24 January 2018

Academic Editor: Alberto J. Castro-Tirado

Copyright © 2018 M. G. Dainotti et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. E. Nakar, “Short-hard gamma-ray bursts,” Physics Reports, vol. 442, no. 1–6, pp. 166–236, 2007. View at Publisher · View at Google Scholar · View at Scopus
  2. B. Zhang, “Open questions in GRB physics,” Comptes Rendus Physique, vol. 12, no. 3, pp. 206–225, 2011. View at Publisher · View at Google Scholar · View at Scopus
  3. N. Gehrels and S. Razzaque, “γ-ray bursts in the swift-Fermi era,” Frontiers of Physics, vol. 8, no. 6, pp. 661–678, 2013. View at Publisher · View at Google Scholar · View at Scopus
  4. E. Berger, “Short-duration gamma-ray bursts,” Annual Review of Astronomy and Astrophysics, vol. 52, no. 1, pp. 43–105, 2014. View at Publisher · View at Google Scholar
  5. P. Kumar and B. Zhang, “The physics of gamma-ray bursts and relativistic jets,” Physics Reports, vol. 561, pp. 1–109, 2015. View at Publisher · View at Google Scholar
  6. P. Mészáros and M. J. Rees, “Gamma-ray bursts,” General Relativity and Gravitation. View at MathSciNet
  7. R. W. Klebesadel, I. B. Strong, and R. A. Olson, “Observations of gamma-ray bursts of cosmic origin,” The Astrophysical Journal, vol. 182, pp. L85–L88, 1973. View at Publisher · View at Google Scholar
  8. E. P. Mazets, S. V. Golenetskii, V. N. Il'Inskii et al., “Catalog of cosmic gamma-ray bursts from the KONUS experiment data—parts I and II,” Astrophysics and Space Science, vol. 80, no. 1, pp. 3–83, 1981. View at Publisher · View at Google Scholar · View at Scopus
  9. C. Meegan, G. Fishman, R. Wilson et al., “The spatial distribution of gamma-ray bursts observed by BATSE,” in Proceedings of the Compton Gamma-Ray Observatory, pp. 681–685, USA. View at Publisher · View at Google Scholar
  10. C. Kouveliotou, C. A. Meegan, G. J. Fishman et al., “Identification of two classes of gamma-ray bursts,” The Astrophysical Journal, vol. 413, no. 2, pp. 101–104, 1993. View at Publisher · View at Google Scholar · View at Scopus
  11. B. Paczynski, “On the Galactic origin of gamma-ray bursts,” Acta Astron, vol. 348, pp. 485–494, 1990. View at Publisher · View at Google Scholar
  12. B. Paczynski, “Cosmological gamma-ray bursts,” Acta Astronomica, vol. 41:0, pp. 257–267, 1991. View at Google Scholar
  13. G. J. Fishman, “γ-ray bursts,” Annual Review of Astronomy and Astrophysics, vol. 33, no. 1, pp. 415–458. View at Publisher · View at Google Scholar
  14. M. S. Briggs, W. S. Paciesas, G. N. Pendleton et al., “BATSE observations of the large-scale isotropy of gamma-ray bursts,” The Astrophysical Journal, vol. 459, p. 40, 1996. View at Publisher · View at Google Scholar
  15. M. R. Metzger, S. G. Djorgovski, S. R. Kulkarni et al., “Spectral constraints on the redshift of the optical counterpart to the γ-ray burst of 8 May 1997,” Nature, vol. 387, no. 6636, pp. 878–880, 1997. View at Publisher · View at Google Scholar · View at Scopus
  16. L. G. Balazs, A. Meszaros, and I. Horvath, “Anisotropy of the sky distribution of gamma-ray bursts,” p. 339, 0 1–6, 339, November 1998. View at Google Scholar
  17. A. Mészáros, Z. Bagoly, I. Horváth, L. G. Balázs, and R. Vavrek, “A remarkable angular distribution of the intermediate subclass of gamma-ray bursts,” The Astrophysical Journal , vol. 539, no. 1, pp. 98–101, 2000. View at Publisher · View at Google Scholar · View at Scopus
  18. A. Mészáros, Z. Bagoly, and R. Vavrek, “On the existence of the intrinsic anisotropies in the angular distributions of gamma-ray bursts,” Astronomy & Astrophysics , vol. 354, no. 1, pp. 1–6, 2000. View at Google Scholar · View at Scopus
  19. A. Mészáros and J. Štoček, “Anisotropy in the angular distribution of the long gamma-ray bursts?” Astronomy & Astrophysics, vol. 403, no. 2, pp. 443–448, 2003. View at Publisher · View at Google Scholar
  20. M. Magliocchetti, G. Ghirlanda, and A. Celotti, “Evidence for anisotropy in the distribution of short-lived gamma-ray bursts,” Monthly Notices of the Royal Astronomical Society, vol. 343, no. 1, pp. 255–258, 2003. View at Publisher · View at Google Scholar · View at Scopus
  21. A. Bernui, I. S. Ferreira, and C. A. Wuensche, “On the large-scale angular distribution of short gamma-ray bursts,” The Astrophysical Journal , vol. 673, no. 2, pp. 968–971, 2008. View at Publisher · View at Google Scholar · View at Scopus
  22. R. Vavrek, L. G. Balázs, A. Mészáros, I. Horváth, and Z. Bagoly, “Testing the randomness in the sky-distribution of gamma-ray bursts,” Monthly Notices of the Royal Astronomical Society, vol. 391, no. 4, pp. 1741–1748, 2008. View at Publisher · View at Google Scholar · View at Scopus
  23. M. Tarnopolski, “Testing the anisotropy in the angular distribution of Fermi/GBM gamma-ray bursts,” Monthly Notices of the Royal Astronomical Society, vol. 472, no. 4, pp. 4819–4831, 2017. View at Publisher · View at Google Scholar
  24. A. Mészáros, L. G. Balázs, Z. Bagoly, and P. Veres, “Impact on cosmology of the celestial anisotropy of the short gamma-ray bursts,” Baltic Astronomy, vol. 18, no. 3-4, pp. 293–296, 2009. View at Google Scholar · View at Scopus
  25. J. Hjorth, J. Sollerman, P. Møller et al., “A very energetic supernova associated with the γ-ray burst of 29 March 2003,” Nature, vol. 423, no. 6942, pp. 847–850, 2003. View at Publisher · View at Google Scholar · View at Scopus
  26. D. Malesani, G. Tagliaferri, G. Chincarini et al., “SN 2003lw and GRB 031203: a bright supernova for a faint gamma-ray burst,” The Astrophysical Journal , vol. 609, no. 1, pp. L5–L8, 2004. View at Publisher · View at Google Scholar · View at Scopus
  27. S. E. Woosley and J. S. Bloom, “The supernova-gamma-ray burst connection,” Annual Review of Astronomy and Astrophysics, vol. 44, pp. 507–556, 2006. View at Publisher · View at Google Scholar
  28. M. Sparre, J. Sollerman, J. P. U. Fynbo et al., “Spectroscopic evidence for SN 2010ma associated with GRB 101219B,” The Astrophysical Journal Letters, vol. 735, no. 1, p. L24, 2011. View at Publisher · View at Google Scholar · View at Scopus
  29. S. Schulze, D. Malesani, A. Cucchiara et al., “GRB 120422A/SN 2012bz: bridging the gap between low- and high-luminosity gamma-ray bursts,” Astronomy & Astrophysics, vol. 566, article A102, 2014. View at Publisher · View at Google Scholar · View at Scopus
  30. D. Eichler, M. Livio, T. Piran, and D. N. Schramm, “Nucleosynthesis, neutrino bursts and γ-rays from coalescing neutron stars,” Nature, vol. 340, no. 6229, pp. 126–128, 1989. View at Publisher · View at Google Scholar · View at Scopus
  31. R. Narayan, B. Paczyński, and T. Piran, “Gamma-ray bursts as the death throes of massive binary stars,” The Astrophysical Journal, vol. 395, no. 2, pp. 83–86, 1992. View at Publisher · View at Google Scholar · View at Scopus
  32. E. Nakar and T. Piran, “Outliers to the peak energy-isotropic energy relation in gamma-ray bursts,” Monthly Notices of the Royal Astronomical Society, vol. 360, no. 1, pp. L73–L76, 2005. View at Publisher · View at Google Scholar · View at Scopus
  33. B. Zhang, B.-B. Zhang, F. J. Virgili et al., “Discerning the physical origins of cosmological gamma-ray bursts based on multiple observational criteria: the cases of z = 6.7 GRB 080913, z = 8.2 GRB 090423, and some short/hard GRBs,” The Astrophysical Journal, vol. 703, no. 2, pp. 1696–1724, 2009. View at Publisher · View at Google Scholar
  34. B. P. Abbott, R. Abbott, T. D. Abbott et al., “Observation of gravitational waves from a binary black hole merger,” Physical Review Letters, vol. 116, no. 6, 061102, 16 pages, 2016. View at Google Scholar · View at MathSciNet
  35. V. Connaughton, E. Burns, A. Goldstein et al., “Fermi GBM observations of ligo gravitational-wave event GW150914,” The Astrophysical Journal Letters, vol. 826, no. 1, article no. L6, 2016. View at Publisher · View at Google Scholar · View at Scopus
  36. P. N. Bhat, C. A. Meegan, A. Von Kienlin et al., “The third fermi gbm gamma-ray burst catalog: the first six years,” The Astrophysical Journal Supplement Series, vol. 223, no. 2, article no. 28, 2016. View at Publisher · View at Google Scholar · View at Scopus
  37. V. Savchenko, C. Ferrigno, S. Mereghetti et al., “Integral upper limits on gamma-ray emission associated with the gravitational wave event gw150914,” The Astrophysical Journal Letters, vol. 820, no. 2, article no. L36, 2016. View at Publisher · View at Google Scholar · View at Scopus
  38. P. A. Evans, J. A. Kennea, S. D. Barthelmy et al., “Swift follow-up of the gravitational wave source GW150914,” MNRAS Letters, vol. 460, no. 1, pp. L40–L44, 2016. View at Publisher · View at Google Scholar
  39. M. Lyutikov, “Fermi GBM signal contemporaneous with GW150914—an unlikely association”.
  40. X. Li, F.-W. Zhang, Q. Yuan et al., “Implications of the tentative association between gw150914 and a fermi-gbm transient,” The Astrophysical Journal Letters, vol. 827, no. 1, article no. L16, 2016. View at Publisher · View at Google Scholar · View at Scopus
  41. A. Loeb, “Electromagnetic counterparts to black hole mergers detected by ligo,” The Astrophysical Journal Letters, vol. 819, no. 2, article no. L21, 2016. View at Publisher · View at Google Scholar · View at Scopus
  42. R. Perna, D. Lazzati, and B. Giacomazzo, “Short gamma-ray bursts from the merger of two black holes,” The Astrophysical Journal Letters, vol. 821, no. 1, article no. L18, 2016. View at Publisher · View at Google Scholar · View at Scopus
  43. B. J. Morsony, J. C. Workman, and D. M. Ryan, “Modeling the afterglow of the possible Fermi-GBM event associated with GW150914,” The Astrophysical Journal Letters, vol. 825, no. 2, article no. L24, 2016. View at Publisher · View at Google Scholar · View at Scopus
  44. E. Costa, F. Frontera, J. Heise et al., “Discovery of an X-ray afterglow associated with the γ-ray burst of 28 February 1997,” Nature, vol. 387, no. 6635, pp. 783–785, 1997. View at Publisher · View at Google Scholar · View at Scopus
  45. J. van Paradijs, P. J. Groot, T. Galama et al., “Transient optical emission from the error box of the γ-ray burst of 28 february 1997,” Nature, vol. 386, no. 6626, pp. 686–689, 1997. View at Publisher · View at Google Scholar · View at Scopus
  46. I. Horváth, “A third class of gamma-ray bursts?” The Astrophysical Journal, vol. 508, no. 2, pp. 757–759, 1998. View at Publisher · View at Google Scholar · View at Scopus
  47. I. Horváth, “A further study of the BATSE Gamma-Ray Burst duration distribution,” Astronomy & Astrophysics, vol. 392, no. 3, pp. 791–793, 2002. View at Publisher · View at Google Scholar
  48. I. Horvath, L. G. Balazs, Z. Bagoly, and P. Veres, “Classification of Swift’s gamma-ray bursts,” Astronomy & Astrophysics, vol. 489, no. 1, pp. L1–L4, 2008. View at Publisher · View at Google Scholar
  49. I. Horváth, “Classification of BeppoSAX’s gamma-ray bursts,” Astrophysics and Space Science, vol. 323, no. 1, pp. 83–86, 2009. View at Publisher · View at Google Scholar
  50. D. Huja, A. Mészáros, and J. Řípa, “A comparison of the gamma-ray bursts detected by BATSE and Swift,” Astronomy & Astrophysics , vol. 504, no. 1, pp. 67–71, 2009. View at Publisher · View at Google Scholar · View at Scopus
  51. J. Řípa, A. Mészáros, C. Wigger, D. Huja, R. Hudec, and W. Hajdas, “Search for gamma-ray burst classes with the RHESSI satellite,” Astronomy & Astrophysics , vol. 498, no. 2, pp. 399–406, 2009. View at Publisher · View at Google Scholar · View at Scopus
  52. S. Mukherjee, E. D. Feigelson, G. J. Babu, F. Murtagh, C. Fralev, and A. Raftery, “Three types of gamma-ray bursts,” The Astrophysical Journal, vol. 508, no. 1, pp. 314–327, 1998. View at Publisher · View at Google Scholar · View at Scopus
  53. I. Horváth, L. G. Balázs, Z. Bagoly, F. Ryde, and A. Mészáros, “A new definition of the intermediate group of gamma-ray bursts,” Astronomy & Astrophysics , vol. 447, no. 1, pp. 23–30, 2006. View at Publisher · View at Google Scholar · View at Scopus
  54. I. Horávth, Z. Bagoly, L. G. Balázs, A. De Ugarte Postigo, P. Veres, and A. Mészáros, “Detailed classification of swift's gamma-ray bursts,” The Astrophysical Journal , vol. 713, no. 1, pp. 552–557, 2010. View at Publisher · View at Google Scholar · View at Scopus
  55. P. Veres, Z. Bagoly, I. Horváth, A. Mészáros, and L. G. Balázs, “A distinct peak-flux distribution of the third class of gamma-ray bursts: a possible signature of X-ray flashes?” The Astrophysical Journal, vol. 725, no. 2, pp. 1955–1964, 2010. View at Publisher · View at Google Scholar · View at Scopus
  56. C. Koen and A. Bere, “On multiple classes of gamma-ray bursts, as deduced from autocorrelation functions or bivariate duration/hardness ratio distributions,” Monthly Notices of the Royal Astronomical Society, vol. 420, no. 1, pp. 405–415, 2012. View at Publisher · View at Google Scholar · View at Scopus
  57. H. Zitouni, N. Guessoum, W. J. Azzam, and R. Mochkovitch, “Statistical study of observed and intrinsic durations among BATSE and Swift/BAT GRBs,” Astrophysics and Space Science, vol. 357, no. 1, 2015. View at Publisher · View at Google Scholar · View at Scopus
  58. M. Tarnopolski, “Analysis of Fermi gamma-ray burst duration distribution,” Astronomy and Astrophysics, vol. 581, 2015. View at Google Scholar
  59. M. Tarnopolski, “Analysis of gamma-ray burst duration distribution using mixtures of skewed distributions,” Monthly Notices of the Royal Astronomical Society, vol. 458, no. 2, pp. 2024–2031, 2016. View at Publisher · View at Google Scholar · View at Scopus
  60. M. Tarnopolski, “Analysis of the observed and intrinsic durations of gamma-ray bursts with known redshift,” Astrophysics and Space Science, vol. 361, no. 3, article no. 125, 2016. View at Publisher · View at Google Scholar · View at Scopus
  61. M. Tarnopolski, “Analysis of the observed and intrinsic durations of Swift/BAT gamma-ray bursts,” New Astronomy, vol. 46, pp. 54–59, 2016. View at Publisher · View at Google Scholar · View at Scopus
  62. O. Bromberg, E. Nakar, T. Piran, and R. Sari, “Short versus long and collapsars versus non-collapsars: a quantitative classification of gamma-ray bursts,” The Astrophysical Journal , vol. 764, no. 2, article 179, 2013. View at Publisher · View at Google Scholar · View at Scopus
  63. M. Tarnopolski, “On the limit between short and long GRBs,” Astrophysics and Space Science, vol. 359, no. 1, 2015. View at Publisher · View at Google Scholar
  64. H. Gao, Y. Lu, and S. N. Zhang, “A new class of γ-ray bursts from stellar disruptions by intermediate-mass black holes,” The Astrophysical Journal, vol. 717, no. 1, pp. 268–276, 2010. View at Publisher · View at Google Scholar · View at Scopus
  65. J. P. Norris and J. T. Bonnell, “Short gamma-ray bursts with extended emission,” The Astrophysical Journal, vol. 643, no. 1, article 266, 2006. View at Publisher · View at Google Scholar
  66. M. Boër, B. Gendre, and G. Stratta, “Are ultra-long gamma-ray bursts different?” The Astrophysical Journal , vol. 800, no. 1, article no. 16, 2015. View at Publisher · View at Google Scholar · View at Scopus
  67. F. J. Virgili, C. G. Mundell, V. Pal'Shin et al., “GRB 091024A and the nature of ultra-long gamma-ray bursts,” The Astrophysical Journal , vol. 778, no. 1, article 54, 2013. View at Publisher · View at Google Scholar · View at Scopus
  68. B.-B. Zhang, B. Zhang, K. Murase, V. Connaughton, and M. S. Briggs, “How long does a burst burst?” The Astrophysical Journal, vol. 787, no. 1, article 66, 2014. View at Publisher · View at Google Scholar · View at Scopus
  69. A. J. Levan, N. R. Tanvir, R. L. C. Starling et al., “A new population of ultra-long duration gamma-ray bursts,” The Astrophysical Journal, vol. 781, no. 1, article 13, 2014. View at Publisher · View at Google Scholar · View at Scopus
  70. A. J. Levan, “Swift discoveries of new populations of extremely long duration high energy transient,” Journal of High Energy Astrophysics, vol. 7, pp. 44–55, 2015. View at Publisher · View at Google Scholar · View at Scopus
  71. J. Heise, J. I. Zand, R. M. Kippen, and P. M. Woods, “X-ray flashes and X-ray rich gamma ray bursts,” Gamma-Ray Bursts in the Afterglow Era, pp. 16–21, 2001. View at Publisher · View at Google Scholar
  72. R. M. Kippen, P. M. Woods, J. Heise, J. I. Zand, R. D. Preece, and M. S. Briggs, “BATSE observations of fast X-ray transients detected by BeppoSAX-WFC,” in Gamma-ray Bursts in the Afterglow Era, E. Costa, F. Frontera, and J. Hjorth, Eds., p. 22, 2001. View at Publisher · View at Google Scholar
  73. D. Grupe, J. A. Nousek, P. Veres, B.-B. Zhang, and N. Gehrels, “Evidence for new relations between gamma-ray burst prompt and x-ray afterglow emission from 9 years of swift,” The Astrophysical Journal Supplement Series, vol. 209, no. 2, article no. 20, 2013. View at Publisher · View at Google Scholar · View at Scopus
  74. J. P. U. Fynbo, D. Watson, C. C. Thöne et al., “No supernovae associated with two long-duration γ-ray bursts,” Nature, vol. 444, no. 7122, pp. 1047–1049, 2006. View at Publisher · View at Google Scholar · View at Scopus
  75. M. Della Valle, D. Malesani, J. S. Bloom et al., “Hypernova signatures in the late rebrightening of GRB 050525A,” The Astrophysical Journal Letters, vol. 642, no. 2, pp. L103–L106, 2006. View at Publisher · View at Google Scholar · View at Scopus
  76. D. A. Perley, N. R. Tanvir, J. Hjorth et al., “The swift GRB host galaxy legacy survey. ii. rest-frame near-ir luminosity distribution and evidence for a near-solar metallicity threshold,” The Astrophysical Journal, vol. 817, no. 1, article no. 8, 2016. View at Publisher · View at Google Scholar · View at Scopus
  77. J. Greiner, P. A. Mazzali, and D. A. Kann, “A very luminous magnetar-powered supernova associated with an ultra-long γ-ray burst,” Nature, vol. 523, no. 7559, pp. 189–192, 2015. View at Publisher · View at Google Scholar · View at Scopus
  78. R. A. M. J. Wijers, M. J. Rees, and P. Mészáros, “Shocked by GRB 970228: the afterglow of a cosmological fireball,” Monthly Notices of the Royal Astronomical Society, vol. 288, no. 4, pp. L51–L56, 1997. View at Publisher · View at Google Scholar · View at Scopus
  79. P. Mészáros, “Theoretical models of gamma-ray bursts,” in Proceedings of the Gamma-Ray BURSTS, pp. 647–656, Huntsville, Alabama (USA). View at Publisher · View at Google Scholar
  80. P. Mésźros, “Gamma-ray bursts,” Reports on Progress in Physics. View at Publisher · View at Google Scholar · View at Scopus
  81. R. Willingale, P. T. O'Brien, J. P. Osborne et al., “Testing the standard fireball model of gamma-ray bursts using late X-ray afterglows measured by Swift,” The Astrophysical Journal , vol. 662, no. 2 I, pp. 1093–1110, 2007. View at Publisher · View at Google Scholar · View at Scopus
  82. A. Melandri, C. G. Mundell, S. Kobayashi et al., “The early-time optical properties of gamma-ray burst afterglows,” The Astrophysical Journal , vol. 686, no. 2, pp. 1209–1230, 2008. View at Publisher · View at Google Scholar · View at Scopus
  83. E. S. Rykoff, F. Aharonian, and C. W. Akerlof, “Looking into the fireball: Rotse-III and Swift observations of early gamma-ray burst afterglows,” The Astrophysical Journal, vol. 702, no. 1, p. 489, 2009. View at Publisher · View at Google Scholar
  84. S. R. Oates, M. J. Page, P. Schady et al., “A statistical comparison of the optical/UV and X-ray afterglows of gamma-ray bursts using the swift ultraviolet optical and X-ray telescopes,” Monthly Notices of the Royal Astronomical Society, vol. 412, no. 1, pp. 561–579, 2011. View at Publisher · View at Google Scholar · View at Scopus
  85. N. Gehrels, G. Chincarini, P. Giommi et al., “The swift gamma-ray burst mission,” The Astrophysical Jornal, vol. 611, pp. 1005–1020, August 2004. View at Google Scholar
  86. P. T. O'Brien, R. Willingale, J. Osborne et al., “The early X-ray emission from GRBs,” The Astrophysical Journal Letters, vol. 647, no. 2, pp. 1213–1237, 2006. View at Publisher · View at Google Scholar · View at Scopus
  87. T. Sakamoto, J. E. Hill, R. Yamazaki et al., “Evidence of exponential decay emission in the gamma-ray bursts,” The Astrophysical Journal , vol. 669, no. 2, pp. 1115–1129, 2007. View at Publisher · View at Google Scholar · View at Scopus
  88. B.-B. Zhang, E. N.-W. Liang, and B. Zhang, “A comprehensive analysis of Swift XRT data. I. Apparent spectral evolution of gamma-ray burst X-ray tails,” The Astrophysical Journal , vol. 666, no. 2 I, pp. 1002–1011, 2007. View at Publisher · View at Google Scholar · View at Scopus
  89. J. A. Nousek, C. Kouveliotou, and D. Grupe, “Evidence for a canonical gamma-ray burst afterglow light curve in the Swift XRT Data,” The Astrophysical Journal, vol. 642, no. 1, pp. 389–400, 2006. View at Publisher · View at Google Scholar
  90. A. Cucchiara, A. J. Levan, D. B. Fox et al., “A photometric redshift of for GRB 090429B,” The Astrophysical Journal, vol. 736, no. 1, article 7, 2011. View at Publisher · View at Google Scholar
  91. S. A. Rodney, A. G. Riess, D. M. Scolnic et al., “Erratum: Two SNe Ia at redshift ~2: Improved classification and redshift determination with medium-band infrared imaging,” The Astronomical Journal, vol. 151, no. 2, 2016. View at Publisher · View at Google Scholar · View at Scopus
  92. H. Lin, X. Li, S. Wang, and Z. Chang, “Are long gamma-ray bursts standard candles?” Monthly Notices of the Royal Astronomical Society, vol. 453, no. 1, pp. 128–132, 2015. View at Publisher · View at Google Scholar
  93. T. Totani, “Cosmological gamma-ray bursts and evolution of galaxies,” The Astrophysical Journal, vol. 486, no. 2, pp. L71–L74. View at Publisher · View at Google Scholar
  94. C. Porciani and P. Madau, “On the association of gamma-ray bursts with massive stars: Implications for number counts and lensing statistics,” The Astrophysical Journal , vol. 548, no. 2, pp. 522–531, 2001. View at Publisher · View at Google Scholar · View at Scopus
  95. V. Bromm and A. Loeb, “High-redshift γ-ray bursts from population III progenitors,” The Astrophysical Journal , vol. 642, no. 1 I, pp. 382–388, 2006. View at Publisher · View at Google Scholar · View at Scopus
  96. M. D. Kistler, H. Yüksel, J. F. Beacom, A. M. Hopkins, and J. S. B. Wyithe, “The star formation rate in the reionization era as indicated by gamma-ray bursts,” The Astrophysical Journal , vol. 705, no. 2, pp. L104–L108, 2009. View at Publisher · View at Google Scholar · View at Scopus
  97. R. S. De Souza, N. Yoshida, and K. Ioka, “Populations III.1 and III.2 gamma-ray bursts: constraints on the event rate for future radio and X-ray surveys,” Astronomy & Astrophysics , vol. 533, article A32, 2011. View at Publisher · View at Google Scholar · View at Scopus
  98. R. Barkana and A. Loeb, “Gamma-ray bursts versus quasars: Lyα signatures of reionization versus cosmological infall,” The Astrophysical Journal , vol. 601, no. 1 I, pp. 64–77, 2004. View at Publisher · View at Google Scholar · View at Scopus
  99. K. Ioka and P. Mészáros, “Radio afterglows of gamma-ray bursts and hypernovae at high redshift and their potential for 21 centimeter absorption studies,” The Astrophysical Journal , vol. 619, no. 2, pp. 684–696, 2005. View at Publisher · View at Google Scholar · View at Scopus
  100. S. Inoue, K. Omukai, and B. Ciardi, “The radio to infrared emission of very high redshift gamma-ray bursts: probing early star formation through molecular and atomic absorption lines,” Monthly Notices of the Royal Astronomical Society, vol. 380, no. 4, pp. 1715–1728, 2007. View at Publisher · View at Google Scholar · View at Scopus
  101. R. Salvaterra, “High redshift gamma-ray bursts,” Journal of High Energy Astrophysics, vol. 7, pp. 35–43, 2015. View at Publisher · View at Google Scholar · View at Scopus
  102. D. E. Reichart, D. Q. Lamb, E. E. Fenimore, E. Ramirez-Ruiz, T. L. Cline, and K. Hurley, “A possible cepheid-like luminosity estimator for the long gamma-ray bursts,” The Astrophysical Journal, vol. 552, no. 1, pp. 57–71, 2001. View at Publisher · View at Google Scholar · View at Scopus
  103. G. J. Fishman, C. A. Meegan, R. B. Wilson et al., “The first batse gamma-ray burst catalog,” The Astrophysical Journal Supplement Series, vol. 92, no. 1, pp. 229–283, 1994. View at Publisher · View at Google Scholar · View at Scopus
  104. J. P. Norris, R. J. Nemiroff, and J. T. Bonnell, “Attributes of pulses in long bright gamma-ray bursts,” The Astrophysical Journal, vol. 459, p. 393, 1996. View at Publisher · View at Google Scholar
  105. B. E. Stern and R. Svensson, “Evidence for “chain reaction” in the time profiles of gamma-ray bursts,” The Astrophysical Journal, vol. 469, no. 2, pp. L109–L113. View at Publisher · View at Google Scholar
  106. F. Ryde and R. Svensson, “On the variety of the spectral and temporal behavior of long gamma-ray burst pulses,” The Astrophysical Journal , vol. 566, no. 1 I, pp. 210–228, 2002. View at Publisher · View at Google Scholar · View at Scopus
  107. R. Sari, T. Piran, and J. P. Halpern, “Jets in gamma-ray bursts,” The Astrophysical Journal Letters, vol. 519, no. 1, pp. L17–L20, 1999. View at Publisher · View at Google Scholar · View at Scopus
  108. R. Willingale, F. Genet, J. Granot, and P. T. O'Brien, “The spectral-temporal properties of the prompt pulses and rapid decay phase of gamma-ray bursts,” Monthly Notices of the Royal Astronomical Society, vol. 403, no. 3, pp. 1296–1316, 2010. View at Publisher · View at Google Scholar · View at Scopus
  109. J. E. Rhoads, “How to tell a jet from a balloon: a proposed test for beaming in gamma-ray bursts,” The Astrophysical Journal Letters, vol. 487, no. 1, p. L1, 1997. View at Publisher · View at Google Scholar
  110. R. S. Mallozzi, W. S. Paciesas, G. N. Pendleton et al., “The nu F nu Peak Energy Distributions of Gamma-Ray Bursts Observed by BATSE,” The Astrophysical Journal, vol. 454, p. 597, 1995. View at Publisher · View at Google Scholar
  111. L. Amati, F. Frontera, M. Tavani et al., “Intrinsic spectra and energetics of BeppoSAX gamma-ray bursts with known redshifts,” Astronomy & Astrophysics, vol. 390, no. 1, pp. 81–89, 2002. View at Publisher · View at Google Scholar · View at Scopus
  112. T. T. Lee and V. Petrosian, “Distributions of peak flux and duration for gamma-ray bursts,” The Astrophysical Journal, vol. 470, p. 479, 1996. View at Publisher · View at Google Scholar
  113. J. P. Norris, G. F. Marani, and J. T. Bonnell, “Connection between energy-dependent lags and peak luminosity in gamma-ray bursts,” The Astrophysical Journal, vol. 534, no. 1, pp. 248–257, 2000. View at Publisher · View at Google Scholar · View at Scopus
  114. L. Li and B. Paczynski, “Improved correlation between the variability and peak luminosity of gamma-ray bursts,” Monthly Notices of the Royal Astronomical Society, vol. 366, no. 1, pp. 219–226, 2006. View at Publisher · View at Google Scholar
  115. D. Band, J. Matteson, L. Ford et al., “BATSE observations of gamma-ray burst spectra. I. Spectral diversity,” The Astrophysical Journal Letters, vol. 413, no. 1, pp. 281–292, 1993. View at Publisher · View at Google Scholar · View at Scopus
  116. D. Yonetoku, T. Murakami, T. Nakamura, R. Yamazaki, A. K. Inoue, and K. Ioka, “Gamma-ray burst formation rate inferred from the spectral peak energy-peak luminosity relation,” The Astrophysical Journal, vol. 609, no. 2, pp. 935–951, 2004. View at Publisher · View at Google Scholar · View at Scopus
  117. M. G. Kendall and A. Stuart, The Advanced Theory of Statistics, vol. 2 of Inference and Relationship, Macmillan, New York, NY, USA, 1973. View at MathSciNet
  118. P. R. Bevington and D. K. Robinson, Data Reduction and Error Analysis for the Physical Sciences, McGraw-Hill, Boston, Mass, USA, 2nd edition, 1992. View at MathSciNet
  119. C. Spearman, “The proof and measurement of association between two things,” The American Journal of Psychology, vol. 15, no. 1, p. 72, 1904. View at Publisher · View at Google Scholar
  120. E. Liang and V. Kargatis, “Dependence of the spectral evolution of γ-ray bursts on their photon fluence,” Nature, vol. 381, no. 6577, pp. 49–51, 1996. View at Publisher · View at Google Scholar · View at Scopus
  121. B. E. Schaefer, M. Deng, and D. L. Band, “Redshifts and luminosities for 112 gamma-ray bursts,” The Astrophysical Journal , vol. 563, no. 2, pp. L123–L127, 2001. View at Publisher · View at Google Scholar · View at Scopus
  122. J. D. Salmonson, “On the kinematic origin of the luminosity-pulse lag relationship in gamma-ray bursts,” The Astrophysical Journal, vol. 544, no. 2, pp. L115–L117, 2000. View at Publisher · View at Google Scholar · View at Scopus
  123. F. Daigne and R. Mochkovitch, “The physics of pulses in gamma-ray bursts: Emission processes, temporal profiles and time-lags,” Monthly Notices of the Royal Astronomical Society, vol. 342, no. 2, pp. 587–592, 2003. View at Publisher · View at Google Scholar · View at Scopus
  124. Z. Zhang, G. Z. Xie, J. G. Deng, and W. Jin, “Revisiting the characteristics of the spectral lags in short gamma-ray bursts,” Monthly Notices of the Royal Astronomical Society, vol. 373, no. 2, pp. 729–732, 2006. View at Publisher · View at Google Scholar · View at Scopus
  125. B. E. Schaefer, “Explaining the gamma‐ray burst lag/luminosity relation,” The Astrophysical Journal, vol. 602, no. 1, pp. 306–311, 2004. View at Publisher · View at Google Scholar
  126. D. Kocevski and E. Liang, “The connection between spectral evolution and gamma-ray burst lag,” The Astrophysical Journal, vol. 594, no. 1, pp. 385–389, 2003. View at Publisher · View at Google Scholar · View at Scopus
  127. J. Hakkila, T. W. Giblin, J. P. Norris, P. C. Fragile, and J. T. Bonnell, “Correlations between lag, luminosity, and duration in gamma-ray burst pulses,” The Astrophysical Journal , vol. 677, no. 2, pp. L81–L84, 2008. View at Publisher · View at Google Scholar · View at Scopus
  128. R. Tsutsui, T. Nakamura, D. Yonetoku, T. Murakami, S. Tanabe, and Y. Kodama, “Redshift dependent lag-luminosity relation in 565 baste gamma ray bursts,” in Proceedings of the Santa Fe Conference on Gamma-Ray Bursts 2007, GRB 2007, pp. 28–31, USA, November 2007. View at Publisher · View at Google Scholar · View at Scopus
  129. J. Sultana, D. Kazanas, and K. Fukumura, “Luminosity correlations for gamma-ray bursts and implications for their prompt and afterglow emission mechanisms,” The Astrophysical Journal , vol. 758, no. 1, p. 32, 2012. View at Publisher · View at Google Scholar
  130. N. Gehrels, J. P. Norris, S. D. Barthelmy et al., “A new γ-ray burst classification scheme from GRB 060614,” Nature, vol. 444, no. 7122, pp. 1044–1046, 2006. View at Publisher · View at Google Scholar · View at Scopus
  131. M. G. Dainotti, V. F. Cardone, and S. Capozziello, “A time-luminosity correlation for γ -ray bursts in the X-rays,” Monthly Notices of the Royal Astronomical Society, vol. 391, no. 1, pp. L79–L83, 2008. View at Publisher · View at Google Scholar · View at Scopus
  132. M. G. Dainotti, R. Willingale, S. Capozziello, V. F. Cardone, and M. Ostrowski, “Discovery of a tight correlation for gamma-ray burst afterglows with "canonical" light curves,” The Astrophysical Journal, vol. 722, no. 2, pp. L215–L219, 2010. View at Publisher · View at Google Scholar
  133. M. G. Dainotti, V. F. Cardone, S. Capozziello, M. Ostrowski, and R. Willingale, “Study of possible systematics in the correlation of gamma-ray bursts,” The Astrophysical Journal, vol. 730, no. 2, article no. 135, 2011. View at Publisher · View at Google Scholar · View at Scopus
  134. M. G. Dainotti, V. F. Cardone, E. Piedipalumbo, and S. Capozziello, “Slope evolution of GRB correlations and cosmology,” Monthly Notices of the Royal Astronomical Society, vol. 436, no. 1, pp. 82–88, 2013. View at Publisher · View at Google Scholar · View at Scopus
  135. M. Dainotti, V. Petrosian, R. Willingale, P. O'Brien, M. Ostrowski, and S. Nagataki, “Luminosity-time and luminosity-luminosity correlations for GRB prompt and afterglow plateau emissions,” Monthly Notices of the Royal Astronomical Society, vol. 451, no. 4, pp. 3898–3908, 2015. View at Publisher · View at Google Scholar · View at Scopus
  136. T. N. Ukwatta, M. Stamatikos, K. S. Dhuga et al., “Spectral lags and the lag-luminosity relation: an investigation with swift bat gamma-ray bursts,” The Astrophysical Journal Letters, vol. 711, no. 2, pp. 1073–1086, 2010. View at Publisher · View at Google Scholar · View at Scopus
  137. T. N. Ukwatta, K. S. Dhuga, M. Stamatikos et al., “The lag-luminosity relation in the GRB source frame: An investigation with Swift BAT bursts,” Monthly Notices of the Royal Astronomical Society, vol. 419, no. 1, pp. 614–623, 2012. View at Publisher · View at Google Scholar · View at Scopus
  138. R. Margutti, C. Guidorzi, G. Chincarini et al., “Lag-luminosity relation in γ-ray burst X-ray flares: a direct link to the prompt emission,” Monthly Notices of the Royal Astronomical Society, vol. 406, no. 4, pp. 2149–2167, 2010. View at Publisher · View at Google Scholar · View at Scopus
  139. A. Panaitescu and P. Kumar, “Properties of relativistic jets in gamma-ray burst afterglows,” The Astrophysical Journal Letters, vol. 571, no. 2, pp. 779–789, 2002. View at Publisher · View at Google Scholar · View at Scopus
  140. E. E. Fenimore, C. D. Madras, and S. Nayakshin, “Expanding relativistic shells and gamma-ray burst temporal structure,” The Astrophysical Journal , vol. 473, no. 2, pp. 998–1012, 1996. View at Publisher · View at Google Scholar · View at Scopus
  141. K. Ioka and T. Nakamura, “Peak luminosity-spectral lag relation caused by the viewing angle of the collimated gamma-ray bursts,” The Astrophysical Journal Letters, vol. 554, no. 2, pp. L163–L167, 2001. View at Publisher · View at Google Scholar · View at Scopus
  142. E.-W. Liang, J. L. Racusin, B. Zhang, B.-B. Zhang, and D. N. Burrows, “A comprehensive analysis of Swift XRT data. III. Jet break candidates in X-ray and optical afterglow light curves,” The Astrophysical Journal , vol. 675, no. 1, pp. 528–552, 2008. View at Publisher · View at Google Scholar · View at Scopus
  143. J. Lü, Y.-C. Zou, W.-H. Lei et al., “Lorentz-factor–isotropic-luminosity/energy correlations of gamma-ray bursts and their interpretation,” The Astrophysical Journal, vol. 751, no. 1, article no. 49, 2012. View at Publisher · View at Google Scholar · View at Scopus
  144. T.-F. Yi, G.-Z. Xie, and F.-W. Zhang, “A close correlation between the spectral lags and redshifts of gamma-ray bursts,” Chinese Journal of Astronomy and Astrophysics, vol. 8, no. 1, pp. 81–86, 2008. View at Publisher · View at Google Scholar · View at Scopus
  145. G. Stratta, D. Guetta, V. D'Elia, M. Perri, S. Covino, and L. Stella, “Evidence for an anticorrelation between the duration of the shallow decay phase of GRB X-ray afterglows and redshift,” Astronomy & Astrophysics , vol. 494, no. 2, p. -L12, 2009. View at Publisher · View at Google Scholar · View at Scopus
  146. G. Ryan, H. van Eerten, A. MacFadyen, and B.-B. Zhang, “Gamma-ray bursts are observed off-axis,” The Astrophysical Journal, vol. 799, no. 1, article 3, 2015. View at Publisher · View at Google Scholar
  147. Z. L. Uhm and B. Zhang, “Toward an understanding of GRB prompt emission mechanism. I. the origin of spectral lags,” The Astrophysical Journal , vol. 825, no. 2, article no. 97, 2016. View at Publisher · View at Google Scholar · View at Scopus
  148. E. E. Fenimore and E. Ramirez-Ruiz, “Redshifts For 220 BATSE γ-Ray Bursts Determined by Variability and the Cosmological Consequences”.
  149. C. Guidorzi, F. Frontera, E. Montanari et al., “The gamma-ray burst variability-peak luminosity correlation: New results,” Monthly Notices of the Royal Astronomical Society, vol. 363, no. 1, pp. 315–325, 2005. View at Publisher · View at Google Scholar · View at Scopus
  150. D. E. Reichart and M. C. Nysewander, “GRB Variability-Luminosity Correlation Confirmed,” ArXiv Astrophysics e-prints, August 2005. View at Google Scholar
  151. C. Guidorzi, F. Frontera, E. Montanari et al., “The slope of the gamma-ray burst variability/peak luminosity correlation,” Monthly Notices of the Royal Astronomical Society, vol. 371, no. 2, pp. 843–851, 2006. View at Publisher · View at Google Scholar · View at Scopus
  152. C. Guidorzi, “Testing the gamma-ray burst variability/peak luminosity correlation using the pseudo-redshifts of a large sample of BATSE gamma-ray bursts,” Monthly Notices of the Royal Astronomical Society, vol. 364, no. 1, pp. 163–168, 2005. View at Publisher · View at Google Scholar · View at Scopus
  153. G. D’Agostini, “Fits, and especially linear fits, with errors on both axes,” Extra Variance of The Data Points And Other Complications. Arxiv Physics E-Prints, November 2005. View at Google Scholar
  154. D. Rizzuto, C. Guidorzi, P. Romano et al., “Testing the gamma-ray burst variability/peak luminosity correlation on a Swift homogeneous sample,” Monthly Notices of the Royal Astronomical Society, vol. 379, no. 2, pp. 619–628, 2007. View at Publisher · View at Google Scholar · View at Scopus
  155. T. Piran, “The physics of gamma-ray bursts,” Reviews of Modern Physics, vol. 76, no. 4, pp. 1143–1210, 2004. View at Publisher · View at Google Scholar · View at Scopus
  156. J. D. Salmonson and T. J. Galama, “Discovery of a tight correlation between pulse LAG/luminosity and jet-break times: A connection between gamma-ray bursts and afterglow properties,” The Astrophysical Journal , vol. 569, no. 2 I, pp. 682–688, 2002. View at Publisher · View at Google Scholar · View at Scopus
  157. B. E. Schaefer, “The Hubble Diagram to Redshift >6 from 69,” Gamma-Ray Bursts, vol. 660:0, Article ID 511742, pp. 16–46, May 2007. View at Google Scholar
  158. B. Schaefer, “Four luminosity indicators for gamma-ray bursts,” in Proceedings of the COSPAR Scientifc Assembly, volume 34 of COSPAR Meeting, p. 1141, Houston, Texas, USA, Oct 2002.
  159. L. Xiao and B. E. Schaefer, “Estimating redshifts for long gamma-ray bursts,” The Astrophysical Journal , vol. 707, no. 1, pp. 387–403, 2009. View at Publisher · View at Google Scholar · View at Scopus
  160. D. L. Freedman and E. Waxman, “On the energy of gamma-ray bursts,” The Astrophysical Journal, vol. 547, no. 2, pp. 922–928, 2001. View at Publisher · View at Google Scholar · View at Scopus
  161. E. Waxman, “γ-Ray burst afterglow: confirming the cosmological fireball model,” The Astrophysical Journal, vol. 489, no. 1, pp. L33–L36. View at Publisher · View at Google Scholar
  162. R. A. M. J. Wijers and T. J. Galama, “Physical parameters of GRB 970508 and GRB 971214 from their afterglow synchrotron emission,” The Astrophysical Journal, vol. 523, no. 1, pp. 177–186, 1999. View at Publisher · View at Google Scholar
  163. J. Granot, T. Piran, and R. Sari, “Images and spectra from the interior of a relativistic fireball,” The Astrophysical Journal, vol. 513, no. 2, pp. 679–689, 1999. View at Publisher · View at Google Scholar
  164. E.-W. Liang, S.-X. Yi, J. Zhang, H.-J. Lü, and B.-B. Zhang, “Constraining gamma-ray burst initial lorentz factor with the afterglow onset feature and discovery of a tight Correlation,” The Astrophysical Journal, vol. 725, pp. 2209–2224, 2010. View at Publisher · View at Google Scholar
  165. G. Ghirlanda, G. Ghisellini, L. Nava, and D. Burlon, “Spectral evolution of Fermi/GBM short gamma-ray bursts,” Monthly Notices of the Royal Astronomical Society, vol. 410, no. 1, pp. L47–L51, 2011. View at Publisher · View at Google Scholar · View at Scopus
  166. R. Sari and T. Piran, “GRB 990123: the optical flash and the fireball model,” The Astrophysical Journal, vol. 517, no. 2, pp. L109–L112, 1999. View at Publisher · View at Google Scholar · View at Scopus
  167. Y. Lithwick and R. Sari, “Lower limits on Lorentz factors in gamma-ray bursts,” The Astrophysical Journal Letters, vol. 555, no. 1, pp. 540–545, 2001. View at Publisher · View at Google Scholar · View at Scopus
  168. Y.-C. Zou and T. Piran, “Lorentz factor constraint from the very early external shock of the gamma-ray burst ejecta,” Monthly Notices of the Royal Astronomical Society, vol. 402, no. 3, pp. 1854–1862, 2010. View at Publisher · View at Google Scholar · View at Scopus
  169. B. Zhang and A. Pe'er, “Evidence of an initially magnetically dominated outflow in GRB 080916C,” The Astrophysical Journal Letters, vol. 700, no. 2, pp. L65–L68, 2009. View at Publisher · View at Google Scholar · View at Scopus
  170. Y. Fan, “The spectrum of γ-ray burst: a clue,” Monthly Notices of the Royal Astronomical Society, vol. 403, no. 1, pp. 483–490, 2010. View at Publisher · View at Google Scholar
  171. B. Zhang and H. Yan, “The internal-collision-induced magnetic reconnection and turbulence (ICMART) model of gamma-ray bursts,” The Astrophysical Journal, vol. 726, no. 2, p. 90, 2011. View at Publisher · View at Google Scholar
  172. W. H. Lei, D. X. Wang, L. Zhang, Z. M. Gan, Y. C. Zou, and Y. Xie, “Magnetically torqued neutrino-dominated accretion flows for gamma-ray bursts,” The Astrophysical Journal , vol. 700, no. 2, pp. 1970–1976, 2009. View at Publisher · View at Google Scholar · View at Scopus
  173. N. M. Lloyd, V. Petrosian, and R. S. Mallozzi, “Cosmological versus Intrinsic: The Correlation between Intensity and the Peak of the νF ν,” The Astrophysical Journal, vol. 534, no. 1, pp. 227–238, 2000. View at Publisher · View at Google Scholar
  174. M. G. Kendall, “A New Measure of Rank Correlation,” Biometrika, vol. 30, no. 1-2, p. 81, 1938. View at Publisher · View at Google Scholar
  175. R. S. Mallozzi, G. N. Pendleton, W. S. Paciesas, R. D. Preece, and M. S. Briggs, “Gamma-ray burst spectra and the hardness-intensity correlation,” in Proceedings of the GAMMA-RAY BURSTS, vol. 428, pp. 273–277, Huntsville, Alabama (USA). View at Publisher · View at Google Scholar
  176. A. Goldstein, R. D. Preece, and M. S. Briggs, “A new discriminator for gamma-ray burst classification: The -fluence energy ratio,” The Astrophysical Journal, vol. 721, no. 2, pp. 1329–1332, 2010. View at Publisher · View at Google Scholar · View at Scopus
  177. R.-J. Lu, J.-J. Wei, E.-W. Liang et al., “A comprehensive analysis of fermi gamma-ray burst data. II. evolution patterns and implications for the observed spectrum-luminosity relations,” The Astrophysical Journal, vol. 756, no. 2, article no. 112, 2012. View at Publisher · View at Google Scholar · View at Scopus
  178. S. V. Golenetskii, E. P. Mazets, R. L. Aptekar, and V. N. Ilyinskii, “Correlation between luminosity and temperature in γ-ray burst sources,” Nature, vol. 306, no. 5942, pp. 451–453, 1983. View at Publisher · View at Google Scholar · View at Scopus
  179. L. Borgonovo and F. Ryde, “On the hardness-intensity correlation in gamma-ray burst pulses,” The Astrophysical Journal , vol. 548, no. 2, pp. 770–786, 2001. View at Publisher · View at Google Scholar · View at Scopus
  180. G. Ghirlanda, L. Nava, and G. Ghisellini, “Spectral-luminosity relation within individual Fermi gamma rays bursts,” Astronomy & Astrophysics, vol. 511, no. 1, article A43, 2010. View at Publisher · View at Google Scholar · View at Scopus
  181. S. Guiriec, M. S. Briggs, V. Connaugthon et al., “Time-resolved spectroscopy of the three brightest and hardest short gamma-ray bursts observed with the fermi gamma-ray burst monitor,” The Astrophysical Journal , vol. 725, no. 1, pp. 225–241, 2010. View at Publisher · View at Google Scholar · View at Scopus
  182. N. M. Lloyd and V. Petrosian, “Distribution of spectral characteristics and the cosmological evolution of gamma‐ray bursts,” The Astrophysical Journal, vol. 511, no. 2, pp. 550–561, 1999. View at Publisher · View at Google Scholar
  183. N. M. Lloyd, V. Petrosian, and R. D. Preece, “Synchrotron emission as the source of GRB spectra, Part II: Observations,” in Proceedings of the The fifth huntsville gamma-ray burst symposium, pp. 155–159, Huntsville, Alabama (USA). View at Publisher · View at Google Scholar
  184. J. S. Bloom, D. A. Frail, and R. Sari, “The prompt energy release of gamma-ray bursts using a cosmological k-correction,” The Astronomical Journal, vol. 121, no. 6, pp. 2879–2888, 2001. View at Publisher · View at Google Scholar · View at Scopus
  185. L. Amati, F. Frontera, J. M. Castro Cerón et al., “The Prompt and Afterglow Emission of GRB 001109 Measured by BeppoSAX,” in A Workshop Celebrating the First Year of the HETE Mission American Institute of Physics Conference Series, J. J. M. and R. K. Ricker, Eds., vol. 662, pp. 387–389, April 2003.
  186. D. Q. Lamb, T. Q. Donaghy, and C. Graziani, “A unified jet model of X-ray flashes and γ-ray bursts,” New Astronomy Reviews, vol. 48, no. 5-6, pp. 459–464, 2004. View at Publisher · View at Google Scholar · View at Scopus
  187. T. Sakamoto, D. Q. Lamb, C. Graziani et al., “High energy transient explorer 2 observations of the extremely soft X-ray flash XRF 020903,” The Astrophysical Journal , vol. 602, no. 2 I, pp. 875–885, 2004. View at Publisher · View at Google Scholar · View at Scopus
  188. G. Ghirlanda, G. Ghisellini, and D. Lazzati, “The collimation-corrected gamma-ray burst energies correlate with the peak energy of their spectrum,” The Astrophysical Journal, vol. 616, no. 1, pp. 331–338, 2004. View at Publisher · View at Google Scholar · View at Scopus
  189. G. Ghirlanda, G. Ghisellini, and C. Firmani, “Probing the existence of the correlation in long gamma ray bursts,” Monthly Notices of the Royal Astronomical Society, vol. 361, no. 1, pp. L10–L14, 2005. View at Publisher · View at Google Scholar · View at Scopus
  190. L. Amati, “The Ep,i-Eiso correlation in gamma-ray bursts: updated observational status, re-analysis and main implications,” Monthly Notices of the Royal Astronomical Society, vol. 372, no. 1, pp. 233–245, 2006. View at Publisher · View at Google Scholar · View at Scopus
  191. G. Ghirlanda, L. Nava, G. Ghisellini, C. Firmani, and J. I. Cabrera, “The plane of long gamma-ray bursts and selection effects,” Monthly Notices of the Royal Astronomical Society, vol. 387, no. 1, pp. 319–330, 2008. View at Publisher · View at Google Scholar · View at Scopus
  192. L. Amati, F. Frontera, and C. Guidorzi, “Extremely energetic Fermi gamma-ray bursts obey spectral energy correlations,” Astronomy & Astrophysics , vol. 508, no. 1, pp. 173–180, 2009. View at Publisher · View at Google Scholar · View at Scopus
  193. L. Amati, “Cosmology with the correlation of gamma-ray bursts,” International Journal of Modern Physics: Conference Series, vol. 12, pp. 19–27, 2012. View at Publisher · View at Google Scholar
  194. L. Amati, C. Guidorzi, F. Frontera et al., “Measuring the cosmological parameters with the Ep,i-Eiso correlation of gamma-ray bursts,” Monthly Notices of the Royal Astronomical Society, vol. 391, no. 2, pp. 577–584, 2008. View at Publisher · View at Google Scholar · View at Scopus
  195. Y.-P. Qin and Z.-F. Chen, “Statistical classification of gamma-ray bursts based on the amati relation,” Monthly Notices of the Royal Astronomical Society, vol. 430, no. 1, pp. 163–173, 2013. View at Publisher · View at Google Scholar · View at Scopus
  196. V. Heussaff, J.-L. Atteia, and Y. Zolnierowski, “The Epeak-Eiso relation revisited with fermi GRBs: resolving a long-standing debate?” Astronomy & Astrophysics, vol. 557, article 100, 2013. View at Publisher · View at Google Scholar · View at Scopus
  197. L. Amati and M. Della Valle, “Measuring cosmological parameters with gamma ray bursts,” International Journal of Modern Physics D, vol. 22, no. 14, Article ID 1330028, 2013. View at Publisher · View at Google Scholar · View at Scopus
  198. R. Basak and A. R. Rao, “Erratum: Correlation between the isotropic energy and the peak energy at zero fluence for the individual pulses of gamma-ray bursts: Toward a universal physical correlation for the prompt emission,” The Astrophysical Journal, vol. 754, no. 1, article no. 79, 2012. View at Publisher · View at Google Scholar · View at Scopus
  199. R. Basak and A. R. Rao, “Pulse-wise Amati correlation in Fermi gamma-ray bursts,” Monthly Notices of the Royal Astronomical Society, vol. 436, no. 4, pp. 3082–3088, 2013. View at Publisher · View at Google Scholar · View at Scopus
  200. F. Frontera, L. Amati, C. Guidorzi, R. Landi, and J. In'T Zand, “Erratum: Broadband time-resolved correlation in γ-ray bursts (Astrophysical Journal (2012) 754 (138)),” The Astrophysical Journal, vol. 757, no. 1, article no. 107, 2012. View at Publisher · View at Google Scholar · View at Scopus
  201. D. A. Frail, S. R. Kulkarni, R. Sari et al., “The radio afterglow from grb 980519: a test of the jet and circumstellar models,” The Astrophysical Journal, vol. 534, no. 2, pp. 559–564, 2000. View at Publisher · View at Google Scholar
  202. S. A. Yost, D. A. Frail, F. A. Harrison et al., “The broadband afterglow of GRB 980329,” The Astrophysical Journal , vol. 577, no. 1 I, pp. 155–163, 2002. View at Publisher · View at Google Scholar · View at Scopus
  203. B. E. Schaefer, “Explaining the gamma-ray burst distribution,” The Astrophysical Journal, vol. 583, no. 2, pp. L71–L74, 2003. View at Publisher · View at Google Scholar · View at Scopus
  204. E. Liang and B. Zhang, “Model-independent multivariable gamma-ray burst luminosity indicator and its possible cosmological implications,” The Astrophysical Journal, vol. 633, no. 2, pp. 611–623, 2005. View at Publisher · View at Google Scholar · View at Scopus
  205. L. Nava, G. Ghisellini, G. Ghirlanda, F. Tavecchio, and C. Firmani, “On the interpretation of spectral-energy correlations in long gamma-ray bursts,” Astronomy & Astrophysics , vol. 450, no. 2, pp. 471–481, 2006. View at Publisher · View at Google Scholar · View at Scopus
  206. G. Ghirlanda, L. Nava, G. Ghisellini, and C. Firmani, “Confirming the γ-ray burst spectral-energy correlations in the era of multiple time breaks,” Astronomy & Astrophysics , vol. 466, no. 1, pp. 127–136, 2007. View at Publisher · View at Google Scholar · View at Scopus
  207. N. M. Lloyd-Ronning and V. Petrosian, “Interpreting the behavior of time-resolved gamma-ray burst spectra,” The Astrophysical Journal Letters, vol. 565, no. 1, pp. 182–194, 2002. View at Publisher · View at Google Scholar · View at Scopus
  208. B. Zhang and P. Mészáros, “An analysis of gamma-ray burst spectral break models,” The Astrophysical Journal, vol. 581, no. 2, pp. 1236–1247, 2002. View at Publisher · View at Google Scholar · View at Scopus
  209. G. Ghirlanda, G. Ghisellini, R. Salvaterra et al., “The faster the narrower: Characteristic bulk velocities and jet opening angles of gamma-ray bursts,” Monthly Notices of the Royal Astronomical Society, vol. 428, no. 2, pp. 1410–1423, 2013. View at Publisher · View at Google Scholar · View at Scopus
  210. M. J. Rees and P. Mészáros, “Dissipative photosphere models of gamma-ray bursts and X-ray flashes,” The Astrophysical Journal, vol. 628, no. 2, p. 847, 2005. View at Publisher · View at Google Scholar
  211. E. Ramirez-Ruiz, “Photospheric signatures imprinted on the γ-ray burst spectra,” Monthly Notices of the Royal Astronomical Society, vol. 363, no. 1, pp. L61–L65, 2005. View at Publisher · View at Google Scholar · View at Scopus
  212. F. Ryde, “Is thermal emission in gamma-ray bursts ubiquitous?” The Astrophysical Journal Letters, vol. 625, no. 2, pp. L95–L98, 2005. View at Publisher · View at Google Scholar · View at Scopus
  213. A. M. Beloborodov, “Collisional mechanism for gamma-ray burst emission,” Monthly Notices of the Royal Astronomical Society, vol. 407, no. 2, pp. 1033–1047, 2010. View at Publisher · View at Google Scholar · View at Scopus
  214. S. Guiriec, V. Connaughton, M. S. Briggs et al., “Detection of a thermal spectral component in the prompt emission of GRB 100724B,” The Astrophysical Journal Letters, vol. 727, no. 2, article L33, 2011. View at Publisher · View at Google Scholar · View at Scopus
  215. R. Hascoët, F. Daigne, and R. Mochkovitch, “Prompt thermal emission in gamma-ray bursts,” Astronomy & Astrophysics , vol. 551, article A124, 2013. View at Publisher · View at Google Scholar · View at Scopus
  216. S. Guiriec, F. Daigne, R. Hascoët et al., “Evidence for a photospheric component in the prompt emission of the short GRB 120323a and its effects on the GRB hardness-luminosity relation,” The Astrophysical Journal, vol. 770, no. 1, article 32, 2013. View at Publisher · View at Google Scholar · View at Scopus
  217. I. Vurm and A. M. Beloborodov, “Radiative transfer models for gamma-ray bursts,” The Astrophysical Journal, vol. 831, no. 2, article no. 175, 2016. View at Publisher · View at Google Scholar · View at Scopus
  218. S. Guiriec, C. Kouveliotou, F. Daigne et al., “Toward a better understanding of the grb phenomenon: a new model for grb prompt emission and its effects on the new relation,” The Astrophysical Journal, vol. 807, no. 2, article no. 148, 2015. View at Publisher · View at Google Scholar · View at Scopus
  219. S. Guiriec, R. Mochkovitch, T. Piran et al., “GRB 131014A: A laboratory for studying the thermal-like and non-thermal emissions in gamma-ray bursts, and the new relation,” The Astrophysical Journal, vol. 814, no. 1, article no. 10, 2015. View at Publisher · View at Google Scholar · View at Scopus
  220. F. Frontera, L. Amati, E. Costa et al., “Prompt and delayed emission properties of γ-ray bursts observed with BeppoSAX,” The Astrophysical Journal, vol. 127, no. 1, pp. 59–78, 2000. View at Publisher · View at Google Scholar · View at Scopus
  221. R. D. Preece, M. S. Briggs, R. S. Mallozzi, G. N. Pendleton, W. S. Paciesas, and D. L. Band, “The BATSE gamma-ray Burst spectral catalog. I. High time resolution spectroscopy of bright Bursts using high energy resolution data,” The Astrophysical Journal, vol. 126, no. 1, pp. 19–36, 2000. View at Publisher · View at Google Scholar · View at Scopus
  222. G. Ghirlanda, A. Celotti, and G. Ghisellini, “Extremely hard GRB spectra prune down the forest of emission models,” Astronomy & Astrophysics , vol. 406, no. 3, pp. 879–892, 2003. View at Publisher · View at Google Scholar · View at Scopus
  223. A. Panaitescu, “An external-shock origin of the relation for gamma-ray bursts,” Monthly Notices of the Royal Astronomical Society, vol. 393, no. 3, pp. 1010–1015, March 2009. View at Google Scholar
  224. R. Mochkovitch and L. Nava, “The relation and the internal shock model. Åp,” Astronomy and Astrophysics, vol. 557, pp. 10–1051, May 2015. View at Google Scholar
  225. A. C. Collazzi, B. E. Schaefer, and J. A. Moree, “The total errors in measuring for γ-ray bursts,” The Astrophysical Journal, vol. 729, no. 2, article 89, 2011. View at Publisher · View at Google Scholar · View at Scopus
  226. B. E. Schaefer, “Gamma-ray burst Hubble diagram to z = 4.5,” The Astrophysical Journal Letters, vol. 583, no. 2, pp. L67–L70, 2003. View at Publisher · View at Google Scholar · View at Scopus
  227. L. Nava, R. Salvaterra, G. Ghirlanda et al., “A complete sample of bright Swift long gamma-ray bursts: testing the spectral-energy correlations,” Monthly Notices of the Royal Astronomical Society, vol. 421, no. 2, pp. 1256–1264, 2012. View at Publisher · View at Google Scholar · View at Scopus
  228. G. Ghirlanda, G. Ghisellini, and A. Celotti, “The spectra of short γ-ray bursts,” Astronomy & Astrophysics, vol. 422, no. 3, pp. L55–L58, 2004. View at Publisher · View at Google Scholar · View at Scopus
  229. D. Yonetoku, T. Murakami, R. Tsutsui, T. Nakamura, Y. Morihara, and K. Takahashi, “Possible origins of dispersion of the peak energy-brightness correlations of gamma-ray bursts,” Publications of the Astronomical Society of Japan, vol. 62, no. 6, pp. 1495–1507, 2010. View at Publisher · View at Google Scholar · View at Scopus
  230. R. Lu and E. Liang, “Luminosity-peak energy relation in the decay phases of gamma-ray burst pulses,” Science China Physics, Mechanics & Astronomy, vol. 53, no. 1, pp. 163–170, 2010. View at Publisher · View at Google Scholar · View at Scopus
  231. A. A. Abdo, M. Ackermann, M. Ajello et al., Fermi Observations of GRB 090902B: A Distinct Spectral Component in the Prompt and Delayed Emission, 706:0 L138L144, 0 L138–L144, 706, November 2009.
  232. M. Ackermann, K. Asano, W. B. Atwood et al., A Short-Hard Gamma-ray Burst with an Additional, Hard Power-law Component from 10 keV TO GeV Energies, vol. 716:0, 0 1178–1190, 716, June 2010.
  233. M. Ackermann, M. Ajello, K. Asano et al., Detection of a Spectral Break in the Extra Hard Component of GRB 090926A, 0 114, 729, March 2011.
  234. M. Ackermann, M. Ajello, A. Allafort et al., The First Fermi-LAT Catalog of Sources above 10 GeV, 0 34, 209, December.
  235. H.-N. Lin, X. Li, and Z. Chang, “Effect of gamma-ray burst (GRB) spectra on the empirical luminosity correlations and the GRB Hubble diagram,” Monthly Notices of the Royal Astronomical Society, vol. 459, no. 3, pp. 2501–2512, 2016. View at Publisher · View at Google Scholar · View at Scopus
  236. S. Guiriec, M. M. Gonzalez, J. R. Sacahui, C. Kouveliotou, N. Gehrels, and J. McEnery, “CGRO/BATSE Data support the new paradigm for GRB prompt emission and the new relation,” The Astrophysical Journal, vol. 819, no. 1, article no. 79, 2016. View at Publisher · View at Google Scholar · View at Scopus
  237. R. Tsutsui, D. Yonetoku, T. Nakamura, K. Takahashi, and Y. Morihara, “Possible existence of the and correlations for short gamma-ray bursts with a factor 5-100 dimmer than those for long gamma-ray bursts,” Monthly Notices of the Royal Astronomical Society, vol. 431, no. 2, pp. 1398–1404, 2013. View at Publisher · View at Google Scholar · View at Scopus
  238. D. Yonetoku, T. Nakamura, T. Sawano, K. Takahashi, and A. Toyanago, “Short gamma-ray burst formation rate from batse data using correlation and the minimum gravitational-wave event rate of a coalescing compact binary,” The Astrophysical Journal, vol. 789, no. 1, article no. 65, 2014. View at Publisher · View at Google Scholar · View at Scopus
  239. N. M. Lloyd-Ronning and E. Ramirez-Ruiz, “On the spectral energy dependence of gamma-ray burst variability,” The Astrophysical Journal , vol. 576, no. 1 I, pp. 101–106, 2002. View at Publisher · View at Google Scholar · View at Scopus
  240. F. Wang, Z. Dai, and E. Liang, “Gamma-ray burst cosmology,” New Astronomy Reviews, vol. 67, pp. 1–17, 2015. View at Publisher · View at Google Scholar
  241. E. W. Liang, Z. G. Dai, and X. F. Wu, “The luminosity- relation within gamma-ray bursts and the implications for fireball models,” The Astrophysical Journal, vol. 606, no. 1, pp. L29–L32, 2004. View at Publisher · View at Google Scholar · View at Scopus
  242. S. Mendoza, J. C. Hidalgo, D. Olvera, and J. I. Cabrera, “Internal shocks in relativistic jets with time-dependent sources,” Monthly Notices of the Royal Astronomical Society, vol. 395, no. 3, pp. 1403–1408, 2009. View at Publisher · View at Google Scholar · View at Scopus
  243. H. Ito, S. Nagataki, M. Ono et al., “Photospheric emission from stratified jets,” The Astrophysical Journal, vol. 777, no. 1, article 62, 2013. View at Publisher · View at Google Scholar · View at Scopus
  244. F. Frontera, L. Amati, R. Farinelli et al., “Possible physical explanation of the intrinsic -"intensity" correlation commonly used to "standardize" GRBs,” International Journal of Modern Physics D, vol. 25, no. 5, Article ID 1630014, 2016. View at Publisher · View at Google Scholar · View at Scopus
  245. L. Titarchuk, R. Farinelli, F. Frontera, and L. Amati, “An upscattering spectral formation model for the prompt emission of gamma-ray bursts,” The Astrophysical Journal , vol. 752, no. 2, article no. 116, 2012. View at Publisher · View at Google Scholar · View at Scopus
  246. G. Ghirlanda, G. Ghisellini, C. Firmani, A. Celotti, and Z. Bosnjak, “The peak luminosity-peak energy correlation in gamma-ray bursts,” Monthly Notices of the Royal Astronomical Society, vol. 360, no. 1, pp. L45–L49, 2005. View at Publisher · View at Google Scholar · View at Scopus
  247. R. Tsutsui, T. Nakamura, D. Yonetoku, T. Murakami, Y. Kodama, and K. Takahashi, “Cosmological constraints from calibrated Yonetoku and Amati relation suggest fundamental plane of gamma-ray bursts,” Journal of Cosmology and Astroparticle Physics, vol. 2009, no. 8, article no. 015, 2009. View at Publisher · View at Google Scholar · View at Scopus
  248. R. Tsutsui, T. Nakamura, D. Yonetoku, T. Murakami, and K. Takahashi, “Intrisic Dispersion of Correlations among Ep, Lp,” and Eiso of Gamma Ray Bursts depends on the quality of Data Set. ArXiv e-prints, December 2010. View at Google Scholar
  249. S. Qi and T. Lu, “A new luminosity relation for gamma-ray bursts and its implication,” The Astrophysical Journal , vol. 717, no. 2, pp. 1274–1278, 2010. View at Publisher · View at Google Scholar · View at Scopus
  250. P. T. O'Brien and R. Willingale, “Using Swift observations of prompt and afterglow emission to classify GRBs,” Philosophical Transactions of the Royal Society A: Mathematical, Physical & Engineering Sciences, vol. 365, no. 1854, pp. 1179–1188, 2007. View at Publisher · View at Google Scholar · View at Scopus
  251. M. G. Dainotti, M. Ostrowski, and R. Willingale, “Towards a standard gamma-ray burst: Tight correlations between the prompt and the afterglow plateau phase emission,” Monthly Notices of the Royal Astronomical Society, vol. 418, no. 4, pp. 2202–2206, 2011. View at Publisher · View at Google Scholar · View at Scopus
  252. A. Lee, E. D. Bloom, and V. Petrosian, “Properties of Gamma-Ray Burst Time Profiles Using Pulse Decomposition Analysis,” The Astrophysical Jornal, vol. 131, November 2000. View at Google Scholar
  253. F. Quilligan, B. McBreen, L. Hanlon, S. McBreen, K. J. Hurley, and D. Watson, “Temporal properties of gamma ray bursts as signatures of jets from the central engine,” Astronomy & Astrophysics, vol. 385, no. 2, pp. 377–398, 2002. View at Publisher · View at Google Scholar
  254. O. M. Littlejohns, N. R. Tanvir, R. Willingale, P. A. Evans, P. T. O'Brien, and A. J. Levan, “Are gamma-ray bursts the same at high redshift and low redshift?” Monthly Notices of the Royal Astronomical Society, vol. 436, no. 4, Article ID stt1841, pp. 3640–3655, 2013. View at Publisher · View at Google Scholar · View at Scopus
  255. Ž. Bošnjak and F. Daigne, “Spectral evolution in gamma-ray bursts: Predictions of the internal shock model and comparison to observations,” Astronomy & Astrophysics , vol. 568, article no. A45, 2014. View at Publisher · View at Google Scholar · View at Scopus
  256. P. A. Evans, R. Willingale, J. P. Osborne et al., “GRB 130925A: an ultralong gamma ray burst with a dust-echo afterglow, and implications for the origin of the ultralong GRBs,” Monthly Notices of the Royal Astronomical Society, vol. 444, no. 1, pp. 250–267, 2014. View at Publisher · View at Google Scholar
  257. J. Hakkila and R. D. Preece, “Gamma-ray burst pulse shapes: Evidence for embedded shock signatures?” The Astrophysical Journal , vol. 783, no. 2, article no. 88, 2014. View at Publisher · View at Google Scholar · View at Scopus
  258. T. Laskar, E. Berger, N. Tanvir et al., “GRB 120521C at z ~ 6 and the properties of high-redshift γ-ray bursts,” The Astrophysical Journal , vol. 781, no. 1, article no. 1, 2014. View at Publisher · View at Google Scholar · View at Scopus
  259. O. M. Littlejohns and N. R. Butler, “Investigating signatures of cosmological time dilation in duration measures of prompt gamma-ray burst light curves,” Monthly Notices of the Royal Astronomical Society, vol. 444, no. 4, pp. 3948–3960, 2014. View at Publisher · View at Google Scholar · View at Scopus
  260. A. Roychoudhury, S. K. Sarkar, and A. Bhadra, “Spectral lag features of GRB 060814 from swift bat and Suzaku observations,” The Astrophysical Journal , vol. 782, no. 2, article no. 105, 2014. View at Publisher · View at Google Scholar · View at Scopus
  261. C. Ceccobello and P. Kumar, “Inverse-Compton drag on a highly magnetized GRB jet in stellar envelope,” Monthly Notices of the Royal Astronomical Society, vol. 449, no. 3, pp. 2566–2575, 2015. View at Publisher · View at Google Scholar
  262. D. Kazanas, J. L. Racusin, J. Sultana, and A. Mastichiadis, “The Statistics of the Prompt-to-Afterglow GRB Flux Ratios and the Supercritical Pile GRB Model”. View at Publisher · View at Google Scholar
  263. T. Laskar, E. Berger, R. Margutti et al., “Energy injection in gamma-ray burst afterglows,” The Astrophysical Journal , vol. 814, no. 1, article no. 1, 2015. View at Publisher · View at Google Scholar · View at Scopus
  264. Z. Y. Peng, Y. Yin, T. F. Yi, Y. Y. Bao, and H. Wu, “A comprehensive comparative study of temporal properties between X-ray flares and GRB pulses,” Astrophysics and Space Science, vol. 355, no. 1, pp. 95–103, 2015. View at Publisher · View at Google Scholar
  265. F. Genet and J. Granot, “Realistic analytic model for the prompt and high-latitude emission in GRBs,” Monthly Notices of the Royal Astronomical Society, vol. 399, no. 3, pp. 1328–1346, 2009. View at Publisher · View at Google Scholar · View at Scopus
  266. F. Ryde and V. Petrosian, “Gamma-ray burst spectra and light curves as signatures of a relativistically expanding plasma,” The Astrophysical Journal , vol. 578, no. 1 I, pp. 290–303, 2002. View at Publisher · View at Google Scholar · View at Scopus
  267. C. D. Dermer, “Rapid X-ray declines and plateaus in Swift GRB light curves explained by a highly radiative blast wave,” The Astrophysical Journal , vol. 664, no. 1 I, pp. 384–396, 2007. View at Publisher · View at Google Scholar · View at Scopus