New features of a flat (4 + 1)-dimensional cosmological model with a perfect fluid in gauss-bonnet gravity

I.V. Kirnos1, S.A. Pavluchenko2 and A.V. Toporensky3

Abstract

We study a flat multidimensional cosmological model in Gauss-Bonnet gravity in the presence of matter in the form of a perfect fluid. We find analytically new stationary regimes (these results are valid for an arbitrary number of spatial dimensions) and study their stability by means of numerical recipes in the (4 + 1)-dimensional case. In the vicinity of the stationary regime, we find numerically another nonsingular regime which appears to be periodical. Finally, we demonstrate that the presence of matter in the form of a perfect fluid lifts some constraints on the dynamics of the (4 + 1)-dimensional model which have been found earlier.

References

  1. F. Muller-Hoissen, Phys. Lett. 163B, 106 (1985).
  2. J. Madore, Phys. Lett. 111A, 283 (1985); J. Madore, Class. Quantum Grav. 3, 361 (1986); F. Muller-Hoissen, Class. Quantum Grav. 3, 665 (1986).
  3. N. Deruelle, Nucl. Phys. B327, 253 (1989).
  4. T. Verwimp, Class. Quantum Grav. 6, 1655 (1989); G. A. Mena Marugan, Phys. Rev. D 42, 2607 (1990); ibid. 46, 4340 (1992).
  5. N. Deruelle and L. Fari na-Busto, Phys. Rev. D 41, 3696 (1990).
  6. D. Lovelock, J. Math. Phys. 12, 498 (1971).
  7. R. Metsaev and A. Tseytlin, Nucl. Phys. B293, 385 (1987).
  8. K. Bamba, S. Odintsov, L. Sebastiani, and S. Zerbini, arXiv: 0911.4390.
  9. S. Nojiri and S. D. Odintsov, JHEP 0007 049 (2000); hep-th/0006232.
  10. S. Nojiri, S. D. Odintsov, and S. Ogushi, Int. J.Mod. Phys. A17 4809 (2002); hep-th/0205187
  11. G. Kofinas, R. Maartens, and E. Papantonopoulos, JHEP 0310 066 (2003); hep-th/0307138
  12. I. V. Kirnos and A. N. Makarenko, arXiv: 0903.0083.
  13. V. D. Ivashchuk, arXiv: 0910.3426.
  14. S. A. Pavluchenko and A. V. Toporensky, Mod. Phys. Lett. A24, 513 (2009); arXiv: 0811.0558
  15. I. V. Kirnos, A. N. Makarenko, S. A. Pavluchenko, and A. V. Toporensky, arXiv: 0906.0140.
  16. S. A. Pavluchenko, Phys. Rev. D80, 107501 (2009); arXiv:0906.0141.
  17. R. Chingangbam, M. Sami, P. V. Tretyakov, and A.V. Toporensky, Phys. Lett. B661, 162 (2008); arXiv: 0711.2122
  18. S. A. Pavluchenko, arXiv: 1003.4892.
For more information about this paper please visit Springer's Home Page of this paper.



Back to The Contents Page