Table of Contents Author Guidelines Submit a Manuscript
Advances in High Energy Physics
Volume 2017 (2017), Article ID 5802352, 6 pages
https://doi.org/10.1155/2017/5802352
Research Article

Cosmology in the Universe with Distance Dependent Lorentz-Violating Background

1Departamento de Ciências Exatas, Universidade Federal da Paraíba, 58297-000 Rio Tinto, PB, Brazil
2Departamento de Física, Universidade Federal de Campina Grande, 58109-970 Campina Grande, PB, Brazil
3Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, João Pessoa, PB, Brazil

Correspondence should be addressed to F. A. Brito; rb.ude.gcfu.fd@otirbaf

Received 12 August 2017; Accepted 4 December 2017; Published 26 December 2017

Academic Editor: Orlando Luongo

Copyright © 2017 C. A. G. Almeida 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. The publication of this article was funded by SCOAP3.

Linked References

  1. A. H. Guth, “Inflationary universe: a possible solution to the horizon and flatness problems,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 23, no. 2, pp. 347–356, 1981. View at Publisher · View at Google Scholar · View at Scopus
  2. A. D. Linde, “A new inflationary universe scenario: a possible solution of the horizon, flatness, homogeneity, isotropy and primordial monopole problems,” Physics Letters B, vol. 108, no. 6, pp. 389–393, 1982. View at Publisher · View at Google Scholar
  3. C. Deffayet, P. Peter, B. Wandelt, M. Zaldarriaga, and L. F. Cugliandolo, Post-Planck Cosmology, Oxford University Press, 2015. View at Publisher · View at Google Scholar
  4. A. G. Riess, A. V. Filippenko, P. Challis et al., “Observational evidence from supernovae for an accelerating universe and a cosmological constant,” The Astronomical Journal, vol. 116, no. 3, pp. 1009–1038, 1998. View at Publisher · View at Google Scholar · View at Scopus
  5. S. Perlmutter et al., “[Supernova Cosmology Project Collaboration], Measurements of Omega and Lambda from 42 high redshift supernovae,” Astrophys. J, vol. 517, p. 565, 1999. View at Google Scholar
  6. P. G. Ferreira and M. Joyce, “Cosmology with a primordial scaling field,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 58, no. 2, Article ID 023503, 1998. View at Publisher · View at Google Scholar
  7. R. R. Caldwell, R. Dave, and P. J. Steinhardt, “Cosmological imprint of an energy component with general equation of state,” Physical Review Letters, vol. 80, no. 8, pp. 1582–1585, 1998. View at Publisher · View at Google Scholar · View at Scopus
  8. S. M. Carroll, “Quintessence and the rest of the world: suppressing long-range interactions,” Physical Review Letters, vol. 81, no. 15, pp. 3067–3070, 1998. View at Publisher · View at Google Scholar
  9. E. J. Copeland, A. R. Liddle, and D. Wands, “Exponential potentials and cosmological scaling solutions,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 57, no. 8, pp. 4686–4690, 1998. View at Publisher · View at Google Scholar · View at Scopus
  10. I. Zlatev, L. Wang, and P. J. Steinhardt, “Quintessence, cosmic coincidence, and the cosmological constant,” Physical Review Letters, vol. 82, no. 5, pp. 896–899, 1999. View at Publisher · View at Google Scholar · View at Scopus
  11. P. J. Steinhardt, L. Wang, and I. Zlatev, “Cosmological tracking solutions,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 59, no. 12, Article ID 123504, 1999. View at Publisher · View at Google Scholar
  12. A. Hebecker and C. Wetterich, “Quintessential adjustment of the cosmological constant,” Physical Review Letters, vol. 85, no. 16, pp. 3339–3342, 2000. View at Publisher · View at Google Scholar · View at Scopus
  13. A. Hebecker and C. Wetterich, “Natural quintessence?” Physics Letters B, vol. 497, no. 3-4, pp. 281–288, 2001. View at Publisher · View at Google Scholar · View at Scopus
  14. T. Chiba, T. Okabe, and M. Yamaguchi, “Kinetically driven quintessence,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 62, Article ID 023511, 2000. View at Publisher · View at Google Scholar
  15. C. Armendariz-Picon, V. Mukhanov, and P. J. Steinhardt, “Dynamical solution to the problem of a small cosmological constant and late-time cosmic acceleration,” Physical Review Letters, vol. 85, no. 21, pp. 4438–4441, 2000. View at Publisher · View at Google Scholar · View at Scopus
  16. C. Armendariz-Picon, V. Mukhanov, and P. J. Steinbardt, “Essentials of k-essence,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 63, Article ID 103510, 2001. View at Publisher · View at Google Scholar
  17. S. Capozziello, “Curvature quintessence,” International Journal of Modern Physics D: Gravitation, Astrophysics, Cosmology, vol. 11, no. 4, 2002. View at Publisher · View at Google Scholar · View at MathSciNet
  18. S. Capozziello, V. F. Cardone, S. Carloni, and A. Troisi, “Curvature quintessence matched with observational data,” International Journal of Modern Physics D, vol. 12, no. 10, pp. 1969–1982, 2003. View at Publisher · View at Google Scholar · View at Scopus
  19. S. M. Carroll, V. Duvvuri, M. Trodden, and M. S. Turner, “Is cosmic speed-up due to new gravitational physics?” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 70, Article ID 043528, 2004. View at Publisher · View at Google Scholar
  20. T. Harko, F. S. N. Lobo, S. Nojiri, and S. D. Odintsov, “F(R, T) gravity,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 84, no. 2, Article ID 024020, 2011. View at Publisher · View at Google Scholar · View at Scopus
  21. P. H. Moraes, “Cosmology from theory in a variant speed of light scenario,” International Journal of Theoretical Physics, vol. 55, no. 3, pp. 1307–1314, 2016. View at Publisher · View at Google Scholar · View at MathSciNet
  22. L. Amendola, “Scaling solutions in general nonminimal coupling theories,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 60, Article ID 043501, 1999. View at Publisher · View at Google Scholar
  23. J. Uzan, “Cosmological scaling solutions of nonminimally coupled scalar fields,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 59, no. 12, 1999. View at Publisher · View at Google Scholar
  24. T. Chiba, “Quintessence, the gravitational constant, and gravity,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 60, no. 8, 1999. View at Publisher · View at Google Scholar
  25. N. Bartolo and M. Pietroni, “Scalar-tensor gravity and quintessence,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 61, no. 2, 1999. View at Publisher · View at Google Scholar
  26. F. Perrotta, C. Baccigalupi, and S. Matarrese, “Extended quintessence,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 61, Article ID 023507, 1999. View at Publisher · View at Google Scholar
  27. G. Dvali, G. Gabadadze, and M. Porrati, “4D gravity on a brane in 5D Minkowski space,” Physics Letters B, vol. 485, no. 1-3, pp. 208–214, 2000. View at Publisher · View at Google Scholar · View at Scopus
  28. V. Sahni and Y. Shtanov, “Braneworld models of dark energy,” Journal of Cosmology and Astroparticle Physics, vol. 11, article 014, 2003. View at Publisher · View at Google Scholar · View at MathSciNet
  29. E. Komatsu, “Determination of Cosmological Parameters from Wilkinson Microwave Anisotropy Probe (WMAP) Observations,” in Beyond the Desert 2003, vol. 92 of Springer Proceedings in Physics, pp. 75–91, Springer Berlin Heidelberg, Berlin, Heidelberg, 2004. View at Publisher · View at Google Scholar
  30. P. A. R. Ade et al., “Planck 2015 results. XIII. Cosmological parameters,” A & A, vol. 594, p. A13, 2016. View at Google Scholar
  31. M. Gasperini, “Inflation and broken Lorentz symmetry in the very early universe,” Physics Letters B, vol. 163, no. 1-4, pp. 84–86, 1985. View at Publisher · View at Google Scholar · View at Scopus
  32. E. A. Lim, “Can we see Lorentz-violating vector fields in the CMB?” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 71, no. 6, 2005. View at Publisher · View at Google Scholar
  33. B. Li, D. F. Mota, and J. D. Barrow, “Detecting a Lorentz-violating field in cosmology,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 77, no. 2, 2008. View at Publisher · View at Google Scholar · View at MathSciNet
  34. J. A. Zuntz, P. G. Ferreira, and T. G. Zlosnik, “Constraining lorentz violation with cosmology,” Physical Review Letters, vol. 101, no. 26, Article ID 261102, 2008. View at Publisher · View at Google Scholar · View at Scopus
  35. C. Armendariz-Picon, N. F. Sierra, and J. Garriga, “Primordial perturbations in Einstein-aether and BPSH theories,” Journal of Cosmology and Astroparticle Physics, vol. 2010, no. 7, article no. 010, 2010. View at Publisher · View at Google Scholar · View at Scopus
  36. S. Kanno and J. Soda, “Lorentz violating inflation,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 74, Article ID 063505, 2006. View at Publisher · View at Google Scholar
  37. W. Donnelly and T. Jacobson, “Coupling the inflaton to an expanding aether,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 82, no. 6, Article ID 064032, 2010. View at Publisher · View at Google Scholar · View at Scopus
  38. P. P. Avelino, D. Bazeia, L. Losano, R. Menezes, and J. J. Rodrigues, “Impact of Lorentz violation on the dynamics of inflation,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 79, no. 12, Article ID 123503, 2009. View at Publisher · View at Google Scholar · View at Scopus
  39. D. Blas and S. Sibiryakov, “Technically natural dark energy from Lorentz breaking,” Journal of Cosmology and Astroparticle Physics, vol. 2011, no. 07, pp. 026–026, 2011. View at Publisher · View at Google Scholar
  40. B. Audren, D. Blas, J. Lesgourgues, and S. Sibiryakov, “Cosmological constraints on Lorentz violating dark energy,” Journal of Cosmology and Astroparticle Physics, vol. 2013, no. 08, pp. 039–039, 2013. View at Publisher · View at Google Scholar
  41. T. Jacobson, PoS QG -PH, vol. 020, 2007, arXiv:0801.1547.
  42. E. Passos, M. A. Anacleto, F. A. Brito, O. Holanda, G. B. Souza, and C. A. Zarro, “Lorentz invariance violation and simultaneous emission of electromagnetic and gravitational waves,” Physics Letters. B. Particle Physics, Nuclear Physics and Cosmology, vol. 772, pp. 870–876, 2017. View at Google Scholar · View at MathSciNet
  43. V. A. Kostelecký and M. Mewes, “Electrodynamics with Lorentz-violating operators of arbitrary dimension,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 80, no. 1, Article ID 015020, 2009. View at Publisher · View at Google Scholar · View at Scopus
  44. E. Hecht, Optics, Addison Wesley, San Francisco USA, 4th edition, 2002.
  45. J. Ellis, M. Fairbairn, and M. Sueiro, “Rescuing quadratic inflation,” Journal of Cosmology and Astroparticle Physics, vol. 2014, no. 2, article no. 044, 2014. View at Publisher · View at Google Scholar · View at Scopus
  46. V. Mukhanov, “Physical foundations of cosmology,” Physical Foundations of Cosmology, pp. 1–421, 2005. View at Publisher · View at Google Scholar · View at Scopus
  47. R. Casana, M. M. Ferreira Jr., and J. S. Rodrigues, “Lorentz-violating contributions of the Carroll-Field-Jackiw model to the CMB anisotropy,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 78, Article ID 125013, 2008. View at Publisher · View at Google Scholar