Possible black universes in a brane world

K.A. Bronnikov1 and E.V. Donskoy2

Abstract

A black universe is a nonsingular black hole where, beyond the horizon, there is an expanding, asymptotically isotropic universe. Such spherically symmetric configurations have been recently found as solutions to the Einstein equations with phantom scalar fields (with negative kinetic energy) as sources of gravity. They have a Schwarzschild-like causal structure but a de Sitter infinity instead of a singularity. It is attempted to obtain similar configurations without phantoms, in the framework of an RS2 type brane world scenario, considering the modified Einstein equations that describe gravity on the brane. By building an explicit example, it is shown that black-universe solutions can be obtained there in the presence of a scalar field with positive kinetic energy and a nonzero potential.

References

  1. I. Dymnikova, Gen. Rel. Gravit. 24, 235 (1992).
  2. I. Dymnikova and E. Galaktionov, Phys. Lett. B 645, 358 (2007).
  3. P. Dzierzak, J. Jezierski, P. Malkiewicz, and W. Piechocki, arXiv: 0810.3172.
  4. D.J. Mulryse, R. Tavakol, J.E. Lidsey and G.F.R. Ellis, Phys. Rev. D 71, 123512 (2005); S. Mukherejee, B.C. Paul, S.D. Maharaj and A. Beesham, gr-qc/0505103.
  5. K.A. Bronnikov and J.C. Fabris, Phys. Rev.L 96 251101 (2006).
  6. K.A. Bronnikov, V.N. Melnikov and H. Dehnen, Gen. Rel. Grav. 39 973 (2007).
  7. A.G. Riess, L.-G. Strolger, J. Tonry et al., Astroph. J. 607, 665 (2004).
  8. U. Alam, V. Sahni and A.A. Starobinsky, JCAP 0406, 008 (2004); D. Huterer and A. Cooray, Phys. Rev. D 71, 023506 (2005); Y. Gong, Class. Quant. Grav. 22, 2121 (2005); D.A. Dicus and W.W. Repko, Phys. Rev. D 70, 083527 (2004); S. Hannestad and E. Mortsell, JCAP 0409, 001 (2004).
  9. V. Sahni and A.A. Starobinsky, Int. J. Mod. Phys. D 15, 000 (2006) (astro-ph/0610026).
  10. S. Nesseris and L. Perivolaropoulos, Phys. Rev. D 72, 123519 (2005); U. Alam and V. Sahni, Phys. Rev. D 73, 084024 (2006); H.K. Jassal, J.S. Bagla and T. Padmanabhan, astro-ph/0601389 (2006); G. Zhao, J. Xia, B. Feng and X. Zhang, astro-ph/0603621 (2006); U. Seljak, A. Slosar and P. McDonald, JCAP 0610, 014 (2006).
  11. Yungui Gong, Rong-Gen Cai, Yun Chen, Zong-Hong Zhu, arXiv: 0909.0596.
  12. R. Gannouji, D. Polarski, A. Ranquet and A.A. Starobinsky, JCAP 0609, 016 (2006).
  13. A. Sen, JHEP 0204, 048 (2002); 0207, 065 (2002).
  14. H.P. Nilles, Phys. Rep. 110, 1 (1984).
  15. N. Khviengia, Z. Khviengia, H. Lu and C.N. Pope, Class. Quantum Grav. 15, 759 (1998).
  16. J.M. Cline, S. Geon and G.D. Moore, Phys. Rev. D 70, 043543 (2004).
  17. T. Shiromizu, K. Maeda and M. Sasaki, Phys. Rev. D 62 024012 (2000).
  18. V.A. Rubakov, Phys. Usp. 44, 871 (2001), hep-ph/0104152; S. Nojiri, S. D. Odintsov and S. Ogushi, Int. J. Mod. Phys. A17, 4809 (2002), hep-th/0205187. A.A. Coley, Einstein Centennial Review Article, astro-ph/0504226; R. Maartens, J. Phys. Conf. Ser. 68, 012046 (2007); Lect. Notes Phys. 720, 323 (2007); astro-ph/0602415.
  19. K.A. Bronnikov and S.-W. Kim, Phys. Rev. D 67 064027 (2003), gr-qc/0212112.
  20. M. La Camera, Phys. Lett. B 573 27 (2003); gr-qc/0306017.
  21. L. Randall and R. Sundrum, Phys. Rev.L 83 4690 (1999), hep-ph/9906064.
  22. D. Yamauchi and M. Sasaki, Prog. Theor. Phys. 118, 245 (2007); ArXiv: 0705.2443.
  23. G. R. Dvali, G. Gabadadze and M. Porrati, Phys. Lett. B 484, 112 (2000).
  24. J. Saavedra and Y. Vasquez, ArXiv: 0803.1823
  25. D.J. Kapner, T.S. Cook, E.G. Adelberger, J.H. Gundlach, B.R. Heckel, C.D. Hoyle, and H.E. Swanson, Phys. Rev. Lett. 98, 021101 (2007); hep-ph/0611184.
  26. K.A. Bronnikov and S.-W. Kim, J. Korean Phys. Soc. 44, S81 (2004).
  27. A. Chamblin, S.W. Hawking and H.S. Reall, Phys. Rev. D 61 065007 (2000); N. Dadhich, R. Maartens, Ph. Papadopoulos and V. Rezania, Phys. Lett. B 487 1 (2000); hep-th/0003061; A. Chamblin, H. S. Reall, H. Shinkai and T. Shiromizu, Phys. Rev. D 63 064015 (2001), hep-th/0008177. R. Casadio, A. Fabbri and L. Mazzacurati, Phys. Rev. D 65 084040 (2001); gr-qc/0111072.
  28. K.A. Bronnikov, H. Dehnen and V.N. Melnikov, Phys. Rev. D 68 024025 (2003); gr-qc/0304068.
  29. K.A. Bronnikov and G.N. Shikin, Grav. & Cosmol. 8 107 (2002), gr-qc/0109027; U. Nucamendi and M. Salgado, Phys. Rev. D 68 044026 (2003); O. Bechmann and O. Lechtenfeld, Class. Quant. Grav. 12 1473 (1995).
  30. K.A. Bronnikov and I.G. Dymnikova, Class. Quantum Grav. 24, 5803 (2007); arXiv: 0705.2368.
  31. P. Aguiar and P. Crawford, "Dust-filled axially symmetric universes with cosmological constant", gr-qc/0009056.
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