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Advances in High Energy Physics
Volume 2014, Article ID 615041, 10 pages
http://dx.doi.org/10.1155/2014/615041
Research Article

Rotating Dilaton Black Strings Coupled to Exponential Nonlinear Electrodynamics

1Physics Department and Biruni Observatory, College of Sciences, Shiraz University, Shiraz 71454, Iran
2Research Institute for Astronomy and Astrophysics of Maragha (RIAAM), P.O. Box 55134-441, Maragha, Iran

Received 2 April 2014; Revised 21 September 2014; Accepted 2 October 2014; Published 20 October 2014

Academic Editor: Shi-Hai Dong

Copyright © 2014 Ahmad Sheykhi. 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. The publication of this article was funded by SCOAP3.

Linked References

  1. M. Born and L. Infeld, “Foundations of the new field theory,” Proceedings of the Royal Society A, vol. 144, no. 852, pp. 425–451, 1934. View at Publisher · View at Google Scholar
  2. H. H. Soleng, “Charged black points in general relativity coupled to the logarithmic U(1) gauge theory,” Physical Review D, vol. 52, no. 10, pp. 6178–6181, 1995. View at Publisher · View at Google Scholar · View at Scopus
  3. S. H. Hendi, “Asymptotic charged BTZ black hole solutions,” Journal of High Energy Physics, vol. 2012, article 065, 2012. View at Publisher · View at Google Scholar
  4. S. H. Hendi, “Asymptotic Reissner-Nordström black holes,” Annals of Physics, vol. 333, pp. 282–289, 2013. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  5. S. H. Hendi and A. Sheykhi, “Charged rotating black string in gravitating nonlinear electromagnetic fields,” Physical Review D, vol. 88, no. 4, Article ID 044044, 7 pages, 2013. View at Publisher · View at Google Scholar
  6. E. Ayon-Beato and A. Garcia, “Regular black hole in general relativity coupled to nonlinear electrodynamics,” Physical Review Letters, vol. 80, p. 5056, 1998. View at Publisher · View at Google Scholar
  7. E. S. Fradkin and A. A. Tseytlin, “Non-linear electrodynamics from quantized strings,” Physics Letters. B, vol. 163, no. 1–4, pp. 123–130, 1985. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  8. R. R. Metsaev, M. A. Rahmanov, and A. A. Tseytlin, “The Born-Infeld action as the effective action in the open superstring theory,” Physics Letters B, vol. 193, no. 2-3, pp. 207–212, 1987. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  9. E. Bergshoeff, E. Sezgin, C. N. Pope, and P. K. Townsend, “The Born-Infeld action from conformal invariance of the open superstring,” Physics Letters B, vol. 188, no. 1, pp. 70–74, 1987. View at Publisher · View at Google Scholar · View at Scopus
  10. A. A. Tseytlin, “On non-abelian generalisation of the Born-Infeld action in string theory,” Nuclear Physics B, vol. 501, no. 1, pp. 41–52, 1997. View at Publisher · View at Google Scholar · View at MathSciNet
  11. D. Brecher and M. J. Perry, “Bound states of D-branes and the non-abelian Born-Infeld action,” Nuclear Physics. B, vol. 527, no. 1-2, pp. 121–141, 1998. View at Publisher · View at Google Scholar · View at MathSciNet
  12. C. G. Callan, C. Lovelace, C. R. Nappi, and S. A. Yost, “Loop corrections to superstring equations of motion,” Nuclear Physics B, vol. 308, no. 2-3, pp. 221–284, 1988. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  13. O. D. Andreev and A. A. Tseytlin, “Partition-function representation for the open superstring effective action: cancellation of Möbius infinities and derivative corrections to Born-Infeld Lagrangian,” Nuclear Physics B, vol. 311, no. 1, pp. 205–252, 1988/89. View at Publisher · View at Google Scholar · View at MathSciNet
  14. R. Leigh, “Dirac-Born-Infeld action from Dirichlet σ-model,” Modern Physics Letters A, vol. 4, no. 28, pp. 2767–2772, 1989. View at Publisher · View at Google Scholar
  15. G. Boillat, “Nonlinear electrodynamics: lagrangians and equations of motion,” Journal of Mathematical Physics, vol. 11, no. 3, pp. 941–951, 1970. View at Publisher · View at Google Scholar · View at Scopus
  16. G. Boillat, “Simple waves in N-dimensional propagation,” Journal of Mathematical Physics, vol. 11, no. 4, pp. 1482–1483, 1970. View at Publisher · View at Google Scholar · View at Scopus
  17. G. W. Gibbons and D. A. Rasheed, “Electric-magnetic duality rotations in non-linear electrodynamics,” Nuclear Physics B, vol. 454, no. 1-2, pp. 185–206, 1995. View at Publisher · View at Google Scholar · View at MathSciNet
  18. M. Brigante, H. Liu, R. C. Myers, S. Shenker, and S. Yaida, “Viscosity bound violation in higher derivative gravity,” Physical Review D, vol. 77, no. 12, Article ID 126006, 2008. View at Publisher · View at Google Scholar · View at Scopus
  19. Y. Kats and P. Petrov, “Effect of curvature squared corrections in AdS on the viscosity of the dual gauge theory,” Journal of High Energy Physics, vol. 2009, no. 1, article 044, 2009. View at Publisher · View at Google Scholar · View at MathSciNet
  20. P. Kovtun, D. T. Son, and A. O. Starinets, “Holography and hydrodynamics: diffusion on stretched horizons,” Journal of High Energy Physics, vol. 10, article 064, 2003. View at Publisher · View at Google Scholar · View at MathSciNet
  21. R. G. Cai and Y.-W. Sun, “Shear viscosity from AdS Born-Infeld black holes,” Journal of High Energy Physics, vol. 9, p. 115, 2008. View at Google Scholar
  22. J. Jing and S. Chen, “Quasinormal modes of a black hole in the deformed Hořava-Lifshitz gravity,” Physics Letters B, vol. 687, no. 2-3, pp. 124–128, 2010. View at Publisher · View at Google Scholar · View at MathSciNet
  23. R. Gregory, S. Kanno, and J. Soda, “Holographic superconductors with higher curvature corrections,” Journal of High Energy Physics, vol. 10, article 010, 2009. View at Publisher · View at Google Scholar · View at MathSciNet
  24. H. J. Mosquera Cuesta and J. M. Salim, “Non-linear electrodynamics and the gravitational redshift of highly magnetized neutron stars,” Monthly Notices of the Royal Astronomical Society, vol. 354, pp. L55–L59, 2004. View at Publisher · View at Google Scholar
  25. H. J. M. Cuesta and J. M. Salim, “Nonlinear electrodynamics and the surface redshift of pulsars,” The Astrophysical Journal Letters, vol. 608, no. 2, pp. 925–929, 2004. View at Publisher · View at Google Scholar · View at Scopus
  26. G. W. Gibbons and K. Maeda, “Black holes and membranes in higher-dimensional theories with dilaton fields,” Nuclear Physics B, vol. 298, no. 4, pp. 741–775, 1988. View at Publisher · View at Google Scholar
  27. T. Koikawa and M. Yoshimura, “Dilaton fields and event horizon,” Physics Letters B, vol. 189, no. 1-2, pp. 29–33, 1987. View at Publisher · View at Google Scholar · View at MathSciNet
  28. D. Brill and J. Horowitz, “Negative energy in string theory,” Physics Letters B, vol. 262, no. 4, pp. 437–443, 1991. View at Publisher · View at Google Scholar
  29. D. Garfinkle, G. T. Horowitz, and A. Strominger, “Charged black holes in string theory,” Physical Review D, vol. 43, no. 10, pp. 3140–3143, 1991. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  30. R. Gregory and J. A. Harvey, “Black holes with a massive dilaton,” Physical Review D, vol. 47, no. 6, pp. 2411–2422, 1993. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  31. M. Rakhmanov, “Dilaton black holes with electric charge,” Physical Review D, vol. 50, no. 8, pp. 5155–5163, 1994. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  32. G. T. Horowitz and A. Strominger, “Black strings and p-branes,” Nuclear Physics B, vol. 360, no. 1, pp. 197–209, 1991. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  33. S. J. Poletti and D. L. Wiltshire, “Global properties of static spherically symmetric charged dilaton spacetimes with a Liouville potential,” Physical Review D, vol. 50, no. 12, pp. 7260–7270, 1994. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  34. S. J. Poletti, J. Twamley, and D. L. Wiltshire, “Charged dilaton black holes with a cosmological constant,” Physical Review D, vol. 51, no. 10, pp. 5720–5724, 1995. View at Publisher · View at Google Scholar · View at Scopus
  35. S. Mignemi and D. L. Wiltshire, “Black holes in higher-derivative gravity theories,” Physical Review D, vol. 46, no. 4, pp. 1475–1506, 1992. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  36. K. C. Chan, J. H. Horne, and R. B. Mann, “Charged dilaton black holes with unusual asymptotics,” Nuclear Physics B, vol. 447, no. 2-3, pp. 441–461, 1995. View at Publisher · View at Google Scholar · View at MathSciNet
  37. R.-G. Cai, J.-Y. Ji, and K.-S. Soh, “Topological dilaton black holes,” Physical Review D, vol. 57, no. 10, pp. 6547–6550, 1998. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  38. R.-G. Cai and Y.-Z. Zhang, “Holography and brane cosmology in domain wall backgrounds,” Physical Review D, vol. 64, no. 10, Article ID 104015, 8 pages, 2001. View at Publisher · View at Google Scholar · View at MathSciNet
  39. G. Clement, D. Gal'tsov, and C. Leygnac, “Linear dilaton black holes,” Physical Review D, vol. 67, no. 2, Article ID 024012, 2003. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  40. G. Clément and C. Leygnac, “Non-asymptotically flat, non-AdS dilaton black holes,” Physical Review D, vol. 70, no. 8, Article ID 084018, 2004. View at Publisher · View at Google Scholar · View at MathSciNet
  41. M. H. Dehghani and N. Farhangkhah, “Charged rotating dilaton black strings,” Physical Review D, vol. 71, no. 4, Article ID 044008, 7 pages, 2005. View at Publisher · View at Google Scholar · View at MathSciNet
  42. M. H. Dehghani, “Magnetic strings in dilaton gravity,” Physical Review D, vol. 71, Article ID 064010, 2005. View at Publisher · View at Google Scholar
  43. A. Sheykhi, M. H. Dehghani, N. Riazi, and J. Pakravan, “Thermodynamics of rotating solutions in (n+1)-dimensional Einstein-Maxwell-dilaton gravity,” Physical Review D, vol. 74, Article ID 084016, 2006. View at Publisher · View at Google Scholar
  44. A. Sheykhi, M. H. Dehghani, and N. Riazi, “Magnetic branes in (n+1)-dimensional Einstein-Maxwell-dilaton gravity,” Physical Review D, vol. 75, no. 4, Article ID 044020, 2007. View at Publisher · View at Google Scholar · View at MathSciNet
  45. A. Sheykhi, “Thermodynamics of charged topological dilaton black holes,” Physical Review D, vol. 76, no. 12, Article ID 124025, 2007. View at Publisher · View at Google Scholar · View at MathSciNet
  46. R. Yamazaki and D. Ida, “Black holes in three-dimensional Einstein-Born-Infeld-dilaton theory,” Physical Review D, vol. 64, no. 2, Article ID 024009, 6 pages, 2001. View at Publisher · View at Google Scholar · View at MathSciNet
  47. S. S. Yazadjiev, “Einstein-Born-Infeld-dilaton black holes in nonasymptotically flat spacetimes,” Physical Review D, vol. 72, no. 4, Article ID 044006, 6 pages, 2005. View at Publisher · View at Google Scholar · View at MathSciNet
  48. A. Sheykhi, N. Riazi, and M. H. Mahzoon, “Asymptotically nonflat Einstein-Born-Infeld-dilaton black holes with Liouville-type potential,” Physical Review D, vol. 74, no. 4, Article ID 044025, 2006. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  49. T. Tamaki and T. Torii, “Gravitating {BI}on and {BI}on black hole with a dilaton,” Physical Review D, vol. 62, no. 6, Article ID 061501, 5 pages, 2000. View at Publisher · View at Google Scholar · View at MathSciNet
  50. G. Clément and D. Gal’tsov, “Solitons and black holes in Einstein-Born-Infeld-Dilaton theory,” Physical Review D, vol. 62, no. 12, Article ID 124013, 10 pages, 2000. View at Publisher · View at Google Scholar
  51. S. S. Yazadjiev, P. P. Fiziev, T. L. Boyadjiev, and M. D. Todorov, “Electrically charged einstein-born-infeld black holes with massive dilaton,” Modern Physics Letters A, vol. 16, no. 33, pp. 2143–2149, 2001. View at Publisher · View at Google Scholar · View at Scopus
  52. A. Sheykhi, “Topological Born–Infeld-dilaton black holes,” Physics Letters B, vol. 662, pp. 7–13, 2008. View at Publisher · View at Google Scholar
  53. M. H. Dehghani, S. H. Hendi, A. Sheykhi, and H. Rastegar Sedehi, “Thermodynamics of rotating black branes in Einstein-Born-Infeld-dilaton gravity,” Journal of Cosmology and Astroparticle Physics, vol. 2, article 020, 2007. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  54. A. Sheykhi and N. Riazi, “Thermodynamics of black holes in (n+1)-dimensional Einstein-Born-Infeld-dilaton gravity,” Physical Review D, vol. 75, no. 2, Article ID 024021, 2007. View at Publisher · View at Google Scholar · View at MathSciNet
  55. A. Sheykhi, “Thermodynamical properties of topological Born-Infeld-dilaton black holes,” International Journal of Modern Physics D, vol. 18, no. 1, pp. 25–42, 2009. View at Publisher · View at Google Scholar
  56. M. H. Dehghani, A. Sheykhi, and S. H. Hendi, “Magnetic strings in Einstein-Born-Infeld-dilaton gravity,” Physics Letters B, vol. 659, no. 3, pp. 476–482, 2008. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  57. I. Z. Stefanov, S. S. Yazadjiev, and M. D. Todorov, “Scalar-tensor black holes coupled to Born-Infeld nonlinear electrodynamics,” Physical Review D, vol. 75, no. 8, Article ID 084036, 2007. View at Publisher · View at Google Scholar · View at MathSciNet
  58. I. Z. Stefanov, S. S. Yazadjiev, and M. D. Todorov, “Scalar-tensor black holes coupled to Euler-Heisenberg nonlinear electrodynamics,” Modern Physics Letters A: Particles and Fields, Gravitation, Cosmology, Nuclear Physics, vol. 22, no. 17, pp. 1217–1231, 2007. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  59. A. Sheykhi and S. Hajkhalili, Physical Review D. In press.
  60. J. P. Lemos, “Two-dimensional black holes and planar general relativity,” Classical and Quantum Gravity, vol. 12, no. 4, pp. 1081–1086, 1995. View at Publisher · View at Google Scholar · View at MathSciNet
  61. J. P. Lemos, “Three-dimensional black holes and cylindrical general relativity,” Physics Letters B, vol. 353, no. 1, pp. 46–51, 1995. View at Publisher · View at Google Scholar · View at MathSciNet
  62. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions, Dover, New York, NY, USA, 1972.
  63. R. M. Corless, “On the LambertW function,” Advances in Computational Mathematics, vol. 5, pp. 329–359, 1996. View at Publisher · View at Google Scholar
  64. J. D. Brown and J. W. York, “Quasilocal energy and conserved charges derived from the gravitational action,” Physical Review D, vol. 47, p. 1407, 1993. View at Publisher · View at Google Scholar
  65. J. Maldacena, “The large N limit of superconformal field theories and supergravity,” Advances in Theoretical and Mathematical Physics, vol. 2, no. 2, pp. 231–252, 1998. View at Google Scholar · View at MathSciNet
  66. E. Witten, “Anti de Sitter space and holography,” Advances in Theoretical and Mathematical Physics, vol. 2, no. 2, pp. 253–291, 1998. View at Google Scholar · View at MathSciNet
  67. M. Cvetic and S. S. Gubser, “Phases of R-charged black holes, spinning branes and strongly coupled gauge theories,” Journal of High Energy Physic, vol. 1999, no. 04, article 024, 1999. View at Publisher · View at Google Scholar
  68. M. M. Caldarelli, G. Cognola, and D. Klemm, “Thermodynamics of Kerr-Newman-AdS black holes and conformal field theories,” Classical and Quantum Gravity, vol. 17, no. 2, pp. 399–420, 2000. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus