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Gauss-Bonnet braneworld redux: A novel scenario for the bouncing universe

Hideki Maeda*

  • Centro de Estudios Científicos (CECs), Casilla 1469, Valdivia, Chile

  • *hideki@cecs.cl
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Phys. Rev. D 85, 124012 – Published 4 June, 2012

DOI: https://doi.org/10.1103/PhysRevD.85.124012

Abstract

We propose a new scenario for the bouncing universe in a simple five-dimensional braneworld model in the framework of Einstein-Gauss-Bonnet gravity, which works even with ordinary matter on the brane. In this scenario, the so-called branch singularity located at a finite physical radius in the bulk spacetime plays an essential role. We show that a three-brane moving in the bulk may reach and pass through it in spite of the fact that it is a curvature singularity. The bulk spacetime is extended beyond the branch singularity in the C0 sense and then the branch singularity is identified as a massive thin shell. From the bulk point of view, this process is the collision of the three-brane with the shell of branch singularity. From the point of view on the brane, this process is a sudden transition from the collapsing phase to the expanding phase of the universe. The present result opens a completely new possibility to achieve the bouncing brane universe as a higher-curvature effect.

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References (51)

  1. R. Penrose, Phys. Rev. Lett. 14, 57 (1965); S. W. Hawking, Proc. R. Soc. A 300, 187 (1967); S. W. Hawking and R. Penrose, 314, 529 (1970).
  2. S. W. Hawking and G. F. R. Ellis, The Large Scale Structure of Space-time (Cambridge University Press, Cambridge, England, 1973); F. J. Tipler, C. J. S. Clarke, and G. F. R. Ellis, in General Relativity and Gravitation: One Hundred Years After the Birth of Albert Einstein, edited by A. Held (Plenum Press, New York, 1980); J. M. M. Senovilla, Gen. Relativ. Gravit. 30, 701 (1998).
  3. M. Gasperini and G. Veneziano, Astropart. Phys. 1, 317 (1993).
  4. M. Novello and S. E. P. Bergliaffa, Phys. Rep. 463, 127 (2008).
  5. L. Randall and R. Sundrum, Phys. Rev. Lett. 83, 3370 (1999); 83, 4690 (1999).
  6. R. Maartens and K. Koyama, Living Rev. Relativity 13, 5 (2010); P. Brax, C. van de Bruck, and A.-C. Davis, Rep. Prog. Phys. 67, 2183 (2004).
  7. P. Kraus, J. High Energy Phys. 12 (1999) 011; D. Ida, 09 (2000) 014.
  8. P. Hořava and E. Witten, Nucl. Phys. B460, 506 (1996); B475, 94 (1996).
  9. C. Csaki, J. Erlich, and C. Grojean, Nucl. Phys. B604, 312 (2001); C. Barcelo and M. Visser, Phys. Lett. B 482, 183 (2000); S. Mukherji and M. Peloso, 547, 297 (2002); P. Kanti and K. Tamvakis, Phys. Rev. D 68, 024014 (2003).
  10. E. Poisson and W. Israel, Phys. Rev. D 41, 1796 (1990).
  11. M. Dafermos, Commun. Pure Appl. Math. 58, 0445 (2005); M. Dafermos and I. Rodnianski, Invent. Math. 162, 381 (2005).
  12. J. L. Hovdebo and R. C. Myers, J. Cosmol. Astropart. Phys. 11 (2003) 012.
  13. N. Okuyama and K.-i. Maeda, Phys. Rev. D 67, 104012 (2003).
  14. N. Okuyama and K.-i. Maeda, Phys. Rev. D 70, 064030 (2004).
  15. Y. Shtanov and V. Sahni, Phys. Lett. B 557, 1 (2003).
  16. S. Mukherji and S. Pal, Mod. Phys. Lett. A 25, 35 (2010).
  17. D. J. Gross and E. Witten, Nucl. Phys. B277, 1 (1986); D. J. Gross and J. H. Sloan, B291, 41 (1987); R. R. Metsaev and A. A. Tseytlin, Phys. Lett. B 191, 354 (1987); B. Zwiebach, Phys. Lett. 156B, 315 (1985); R. R. Metsaev and A. A. Tseytlin, Nucl. Phys. B293, 385 (1987).
  18. S. C. Davis, Phys. Rev. D 67, 024030 (2003).
  19. E. Gravanis and S. Willison, Phys. Lett. B 562, 118 (2003); C. Garraffo, G. Giribet, E. Gravanis, and S. Willison, J. Math. Phys. (N.Y.) 49, 042502 (2008).
  20. N. Deruelle and C. Germani, Nuovo Cimento Soc. Ital. Fis. B 118, 977 (2003); C. Barcelo, C. Germani, and C. F. Sopuerta, Phys. Rev. D 68, 104007 (2003).
  21. C. Charmousis and J.-F. Dufaux, Classical Quantum Gravity 19, 4671 (2002).
  22. J. E. Lidsey and N. J. Nunes, Phys. Rev. D 67, 103510 (2003); G. Kofinas, R. Maartens, and E. Papantonopoulos, J. High Energy Phys. 10 (2003) 066; B. C. Paul and M. Sami, Phys. Rev. D 70, 027301 (2004); X.-He Meng and P. Wang, Classical Quantum Gravity 21, 2527 (2004); M. Sami and V. Sahni, Phys. Rev. D 70, 083513, (2004); A. Padilla, Classical Quantum Gravity 22, 681 (2005); T. Kobayashi, Gen. Relativ. Gravit. 37, 1869 (2005); R. A. Brown, R. Maartens, E. Papantonopoulos, and V. Zamarias, J. Cosmol. Astropart. Phys. 11 (2005) 008; R. A. Brown, Gen. Relativ. Gravit. 39, 477 (2007); K. Konya, Classical Quantum Gravity 24, 2761 (2007); Phys. Rev. D 75, 104003 (2007); M. Heydari-fard and H. R. Sepangi, 75, 064010 (2007); P. S. Apostolopoulos, N. Brouzakis, N. Tetradis, and E. Tzavara, 76, 084029 (2007); H. Maeda, V. Sahni, and Y. Shtanov, 76, 104028 (2007); 80, 089902 (2009); S.-F. Wu, A. Chatrabhuti, G.-H. Yang, and P.-M. Zhang, Phys. Lett. B 659, 45 (2008); S. del Campo, R. Herrera, and J. Saavedra, Mod. Phys. Lett. A 23, 1187 (2008); E. N. Saridakis, Phys. Lett. B 661, 335 (2008); M. Bouhmadi-Lopez and P. V. Moniz, Phys. Rev. D 78, 084019 (2008); K. Nozari and B. Fazlpour, J. Cosmol. Astropart. Phys. 06 (2008) 032; K. Nozari and N. Rashidi, Int. J. Theor. Phys. 48, 2800 (2009); K. Nozari and T. Azizi, Phys. Scr. 83, 015001 (2011); R. Herrera and N. Videla, Eur. Phys. J. C 67, 499 (2010).
  23. R. A. Brown, Ph.D. thesis, University of Portsmouth, 2006.
  24. K.-i. Maeda and T. Torii, Phys. Rev. D 69, 024002 (2004); T. Kobayashi, T. Shiromizu, and N. Deruelle, 74, 104031 (2006).
  25. S. Mukohyama, Phys. Rev. D 65, 084036 (2002); N. Deruelle and M. Sasaki, Prog. Theor. Phys. 110, 441 (2003); G. Calcagni, Phys. Rev. D 69, 103508 (2004); M. Minamitsuji and M. Sasaki, Prog. Theor. Phys. 112, 451 (2004); S. Tsujikawa, M. Sami, and R. Maartens, Phys. Rev. D 70, 063525 (2004); S. C. Davis, 72, 024026 (2005); R.-G. Cai, H.-S. Zhang, and A. Wang, Commun. Theor. Phys. 44, 948 (2005); G. Panotopoulos, Nucl. Phys. B745, 49 (2006); J.-H. He, B. Wang, and E. Papantonopoulos, Phys. Lett. B 654, 133 (2007); A. Herrera-Aguilar, D. Malagon-Morejon, R. R. Mora-Luna, and I. Quiros, Classical Quantum Gravity 29, 035012 (2012).
  26. S. Nojiri and S. D. Odintsov, J. High Energy Phys. 07 (2000) 049; K. Aoyanagi and K.-i. Maeda, Phys. Rev. D 70, 123506 (2004); S. Nojiri and S. D. Odintsov, Gen. Relativ. Gravit. 37, 1419 (2005).
  27. J.-F. Dufaux, J. E. Lidsey, R. Maartens, and M. Sami, Phys. Rev. D 70, 083525 (2004); M. Sami, N. Savchenko, and A. Toporensky, 70, 123528 (2004); D. Konikowska, M. Olechowski, and M. G. Schmidt, 73, 105018 (2006); T. Kobayashi and M. Minamitsuji, J. Cosmol. Astropart. Phys. 12 (2006) 008.
  28. I. P. Neupane, J. High Energy Phys. 09 (2000) 040; Y. M. Cho, I. P. Neupane, and P. S. Wesson, Nucl. Phys. B621, 388 (2002); Y. M. Cho and I. P. Neupane, Int. J. Mod. Phys. A 18, 2703 (2003); C. Charmousis, S. C. Davis, and J.-F. Dufaux, J. High Energy Phys. 12 (2003) 029; Ph. Brax, N. Chatillon, and D. A. Steer, Phys. Lett. B 608, 130 (2005).
  29. N. E. Mavromatos and J. Rizos, Phys. Rev. D 62, 124004 (2000); Int. J. Mod. Phys. A 18, 57 (2003); P. Binetruy, C. Charmousis, S. C. Davis, and J.-F. Dufaux, Phys. Lett. B 544, 183 (2002); J. P. Gregory and A. Padilla, Classical Quantum Gravity 20, 4221 (2003).
  30. T. Clifton, P. G. Ferreira, A. Padilla, and C. Skordis, Phys. Rep. 513, 1 (2012).
  31. D. G. Boulware and S. Deser, Phys. Rev. Lett. 55, 2656 (1985).
  32. J. T. Wheeler, Nucl. Phys. B268, 737 (1986); D. Lorenz-Petzold, Mod. Phys. Lett. A 3, 827 (1988); R.-G. Cai, Phys. Rev. D 65, 084014 (2002); R.-G. Cai and Qi Guo, 69, 104025 (2004).
  33. R. M. Wald, General Relativity (University of Chicago Press, Chicago, IL, 1984).
  34. C. Charmousis and A. Padilla, J. High Energy Phys. 12 (2008) 038.
  35. T. Torii and H. Maeda, Phys. Rev. D 71, 124002 (2005).
  36. E. Gravanis and S. Willison, Phys. Rev. D 75, 084025 (2007).
  37. H. Maeda and M. Nozawa, Phys. Rev. D 78, 024005 (2008).
  38. H. Maeda, Phys. Rev. D 73, 104004 (2006).
  39. H. Maeda and M. Nozawa, Phys. Rev. D 77, 064031 (2008).
  40. P. S. Joshi, Global Aspects in Gravitation and Cosmology (Oxford University Press, New York, 1993).
  41. C. J. S. Clarke, The Analysis of Space-Time Singularities (Cambridge University Press, Cambridge, 1993).
  42. F. J. Tipler, Phys. Lett. A 64, 8 (1977).
  43. B. C. Nolan, Phys. Rev. D 60, 024014 (1999); 62, 044015 (2000).
  44. A. Ori, Phys. Rev. D 61, 064016 (2000).
  45. S. Abdolrahimi and A. A. Shoom, Phys. Rev. D 81, 024035 (2010).
  46. J. Wainwright and G. F. R. Ellis, Dynamical Systems in Cosmology (Cambridge University Press, Cambridge, England, 1997).
  47. A. A. Coley, arXiv:astro-ph/0504226.
  48. D. Lovelock, J. Math. Phys. (N.Y.) 12, 498 (1971).
  49. H. Maeda, S. Willison, and S. Ray, Classical Quantum Gravity 28, 165005 (2011).
  50. D. L. Wiltshire, Phys. Lett. 169B, 36 (1986); M. Cvetic, S. Nojiri, and S. D. Odintsov, Nucl. Phys. B628, 295 (2002).
  51. T. Torii and H. Maeda, Phys. Rev. D 72, 064007 (2005).

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Phys. Rev. D 85, 124012– Published 4 June, 2012
  • Received 21 February 2012

© 2012 American Physical Society

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