- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review D

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Modified brane cosmologies with induced gravity, arbitrary matter content, and a Gauss-Bonnet term in the bulk

Pantelis S. Apostolopoulos1,*, Nikolaos Brouzakis2,†, Nikolaos Tetradis2,‡, and Eleftheria Tzavara2,§

  • 1Departament de Física, Universitat de les Illes Balears, Cra. Valldemossa Km 7.5, E-07122 Palma de Mallorca, Spain
  • 2University of Athens, Department of Physics, University Campus, Zographou 157 84, Athens, Greece

  • *pantelis.apost@uib.es; papost@phys.uoa.gr
  • †nbruzak@phys.uoa.gr
  • ‡ntetrad@phys.uoa.gr
  • §etzavar@phys.uoa.gr
PDF

Phys. Rev. D 76, 084029 – Published 24 October, 2007

DOI: https://doi.org/10.1103/PhysRevD.76.084029

Abstract

We extend the covariant analysis of the brane cosmological evolution in order to take into account, apart from a general matter content and an induced-gravity term on the brane, a Gauss-Bonnet term in the bulk. The gravitational effect of the bulk matter on the brane evolution can be described in terms of the total bulk mass as measured by a bulk observer at the location of the brane. This mass appears in the effective Friedmann equation through a term characterized as generalized dark radiation that induces mirage effects in the evolution. We discuss the normal and self-accelerating branches of the combined system. We also derive the Raychaudhuri equation that can be used in order to determine if the cosmological evolution is accelerating.

View figure in article

Article Text

References (34)

  1. L. Randall and R. Sundrum, Phys. Rev. Lett. 83, 4690 (1999).
  2. P. Binetruy, C. Deffayet, and D. Langlois, Nucl. Phys. B565, 269 (2000); P. Binetruy, C. Deffayet, U. Ellwanger, and D. Langlois, Phys. Lett. B 477, 285 (2000); C. Csaki, M. Graesser, C. F. Kolda, and J. Terning, 462, 34 (1999); J. M. Cline, C. Grojean, and G. Servant, Phys. Rev. Lett. 83, 4245 (1999).
  3. P. Kraus, J. High Energy Phys. 12 (1999) 011; C. Barcelo and M. Visser, Phys. Lett. B 482, 183 (2000); H. Collins and B. Holdom, Phys. Rev. D 62, 105009 (2000).
  4. C. van de Bruck, M. Dorca, C. J. A. Martins, and M. Parry, Phys. Lett. B 495, 183 (2000); E. Kiritsis, G. Kofinas, N. Tetradis, T. N. Tomaras, and V. Zarikas, J. High Energy Phys. 02 (2003) 035; N. Tetradis, Phys. Lett. B 569, 1 (2003); E. Kiritsis, Fortschr. Phys. 52, 568 (2004).
  5. P. S. Apostolopoulos and N. Tetradis, Classical Quantum Gravity 21, 4781 (2004).
  6. N. Tetradis, Classical Quantum Gravity 21, 5221 (2004); F. A. Brito, F. F. Cruz, and J. F. N. Oliveira, Phys. Rev. D 71, 083516 (2005); E. Kiritsis, J. Cosmol. Astropart. Phys. 10 (2005) 014; K. i. Umezu, K. Ichiki, T. Kajino, G. J. Mathews, R. Nakamura, and M. Yahiro, Phys. Rev. D 73, 063527 (2006); R. G. Cai, Y. g. Gong, and B. Wang, J. Cosmol. Astropart. Phys. 03 (2006) 006; C. Bogdanos and K. Tamvakis, Phys. Lett. B 646, 39 (2007); S. Pal, Phys. Rev. D 74, 124019 (2006); C. Bogdanos, A. Dimitriadis, and K. Tamvakis, 75, 087303 (2007); K. Konya, 75, 104003 (2007); L. Mazzanti, arXiv:hep-th/0702075; A. Sheykhi, B. Wang, and N. Riazi, Phys. Rev. D 75, 123513 (2007); C. Bogdanos, S. Nesseris, L. Perivolaropoulos, and K. Tamvakis, arXiv:0705.3181 [Phys. Rev. D (to be published)]; M. S. Movahed and A. Sheykhi, arXiv:0707.2199.
  7. P. S. Apostolopoulos and N. Tetradis, Phys. Rev. D 71, 043506 (2005).
  8. P. S. Apostolopoulos and N. Tetradis, Phys. Lett. B 633, 409 (2006).
  9. G. R. Dvali, G. Gabadadze, and M. Porrati, Phys. Lett. B 485, 208 (2000); G. R. Dvali, G. Gabadadze, M. Kolanovic, and F. Nitti, Phys. Rev. D 64, 084004 (2001).
  10. E. Kiritsis, N. Tetradis, and T. N. Tomaras, J. High Energy Phys. 03 (2002) 019.
  11. E. Kohlprath, Nucl. Phys. B697, 243 (2004).
  12. A. Padilla, arXiv:hep-th/0210217.
  13. C. Deffayet, Phys. Lett. B 502, 199 (2001); C. Deffayet, G. R. Dvali, G. Gabadadze, and A. Lue, Phys. Rev. D 64, 104002 (2001); C. Deffayet, G. R. Dvali, and G. Gabadadze, 65, 044023 (2002).
  14. A. Lue, Phys. Rep. 423, 1 (2006).
  15. P. S. Apostolopoulos and N. Tetradis, Phys. Rev. D 74, 064021 (2006).
  16. M. A. Luty, M. Porrati, and R. Rattazzi, J. High Energy Phys. 09 (2003) 029; A. Nicolis and R. Rattazzi, 06 (2004) 059; K. Koyama, Phys. Rev. D 72, 123511 (2005); D. Gorbunov, K. Koyama, and S. Sibiryakov, 73, 044016 (2006); C. Charmousis, R. Gregory, N. Kaloper, and A. Padilla, J. High Energy Phys. 10 (2006) 066.
  17. R. Gregory, N. Kaloper, R. C. Myers, A. Padillaand , arXiv:0707.2666.
  18. D. J. Gross and J. H. Sloan, Nucl. Phys. B291, 41 (1987).
  19. C. Charmousis and J. F. Dufaux, Classical Quantum Gravity 19, 4671 (2002).
  20. J. E. Kim, B. Kyae, and H. M. Lee, Nucl. Phys. B582, 296 (2000); B591, 587(E) (2000); I. P. Neupane, J. High Energy Phys. 09 (2000) 040; Y. M. Cho and I. P. Neupane, Int. J. Mod. Phys. A 18, 2703 (2003); S. Nojiri, S. D. Odintsov, and S. Ogushi, 17, 4809 (2002); S.  C. Davis, Phys. Rev. D 67, 024030 (2003); E. Gravanis and S. Willison, Phys. Lett. B 562, 118 (2003); J. E. Lidsey and N. J. Nunes, Phys. Rev. D 67, 103510 (2003); C. de Rham and A. J. Tolley, J. Cosmol. Astropart. Phys. 07 (2006) 004.
  21. K. i. Maeda and T. Torii, Phys. Rev. D 69, 024002 (2004).
  22. C. Germani and C. F. Sopuerta, Phys. Rev. Lett. 88, 231101 (2002);
  23. G. Kofinas, R. Maartens, and E. Papantonopoulos, J. High Energy Phys. 10 (2003) 066; R.  A. Brown, R. Maartens, E. Papantonopoulos, and V. Zamarias, J. Cosmol. Astropart. Phys. 11 (2005) 008; R. G. Cai, H. S. Zhang, and A. Wang, Commun. Theor. Phys. 44, 948 (2005); R. A. Brown, Gen. Relativ. Gravit. 39, 477 (2007); M. Heydari-Fard and H. R. Sepangi, Phys. Rev. D 75, 064010 (2007); S. Yin, B. Wang, E. Abdalla, and C. Y. Lin, arXiv:0708.0992; S. F. Wu, A. Chatrabhuti, G.  H. Yang, and P. M. Zhang, arXiv:0708.1038.
  24. D. G. Boulware and S. Deser, Phys. Rev. Lett. 55, 2656 (1985).
  25. I. P. Neupane, Phys. Lett. B 512, 137 (2001).
  26. Y. M. Cho, I. P. Neupane, and P. S. Wesson, Nucl. Phys. B621, 388 (2002).
  27. R. A. Brown, arXiv:gr-qc/0701083.
  28. K. i. Maeda, S. Mizuno, and T. Torii, Phys. Rev. D 68, 024033 (2003).
  29. L. A. Gergely, Phys. Rev. D 68, 124011 (2003); L. Gergely and R. Maartens, 71, 024032 (2005).
  30. A. Kehagias and E. Kiritsis, J. High Energy Phys. 11 (1999) 022.
  31. H. van Elst and G. F. R. Ellis, Classical Quantum Gravity 13, 1099 (1996).
  32. P. J. Greenberg, J. Math. Anal. Appl. 30, 128 (1970); M. Tsamparlis and D. P. Mason, J. Math. Phys. (N.Y.) 24, 1577 (1983).
  33. W. Israel, Nuovo Cimento B 44, 1 (1966); 48, 463 (1967).
  34. E. Leeper, R. Maartens, and C. F. Sopuerta, Classical Quantum Gravity 21, 1125 (2004); L. A. Gergely, E. Leeper, and R. Maartens, Phys. Rev. D 70, 104025 (2004); P. S. Apostolopoulos, N. Brouzakis, E. N. Saridakis, and N. Tetradis, 72, 044013 (2005).

Outline

Information

Phys. Rev. D 76, 084029– Published 24 October, 2007
  • Received 10 August 2007

© 2007 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation