Cosmological dynamics of fourth-order gravity with a Gauss-Bonnet term

M.M. Ivanov1 and A.V. Toporensky2

Abstract

We consider the cosmological dynamics of fourth-order gravity with both f(R) and F(G) corrections to the Einstein gravity (G is the Gauss-Bonnet invariant). The particular case for which both terms are equally important on power-law solutions is described. These solutions and their stability are studied using the dynamic system approach. We also discuss the condition of existence and stability of a de Sitter solution in a more general situation of power-law f and F.

References

  1. S. Perlmutter et al., Astrophys. J. 517, 565 (1999).
  2. A. G. Riess et al., Astron. J. 116, 1009 (1998).
  3. J. Barrow and S. Hervik, Phys. Rev. D 74, 124017 (2006).
  4. A. Toporensky and P. Tretyakov, Int. J. Mod. Phys. D 16, 1075 (2007).
  5. S. Kawai and J. Soda, Phys. Rev. D 59, 063506 (1999).
  6. H. Yajima, K.-I. Maeda and H. Okhubo, Phys. Rev D 62, 024020 (2000).
  7. A. Toporensky and S. Tsujikawa, Phys. Rev. D 65, 123509 (2002).
  8. S. Nojiri and S. Odintsov, Phys. Lett. B 631, 1 (2005).
  9. G. Cognola, E. Elizalde, S. Nojiri, S. Odintsov, and S. Zerbini, Phys. Rev D 73, 084007 (2006).
  10. B. Li, J. Barrow and D. Mota, Phys. Rev. D 76, 044027 (2007).
  11. De Felice A., Tsujikawa S., Phys. Lett. B 675, 1 (2009).
  12. K. Bamba, S. D. Odintsov, L. Sebastiani and S. Zerbini, Eur. Phys. J. C 67, 295 (2010).
  13. A. De Felice, J. M. Gerard and T. Suyama, Phys. Rev. D 82, 063526 (2010).
  14. A. De Felice, T. Suyama and T. Tanaka, Phys. Rev D 83, 104035 (2011).
  15. A. De Felice and T. Tanaka, Progr. Theor. Phys. 124, 503 (2010).
  16. M. Alimahammadi and A. Ghalee, Phys. Rev D 80, 043006 (2009).
  17. S. Nojiri and S. Odintsov, arXiv: 1011.0544.
  18. L. Amendola, R. Gannouji, D. Polarski, and S. Tsujikawa, Phys. Rev. D 75, 083504 (2007).
  19. S. Carloni, K. S. Dunsby, S. Capozziello, and A. Troisi, Class. Quant. Grav. 22, 4839 (2005).
  20. S. Carloni, A. Troisi, and P. K. S. Dunsby, Gen. Rel. Grav. 41, 1757 (2009). 083504 (2007)
  21. M. Skugoreva, A. Toporensky, and P. Tretyakov, Grav. Cosmol. 17, 110 (2011).
For more information about this paper please visit Springer's Home Page of this paper.



Back to The Contents Page