Abstract
We try to study the theory of modified Gauss-Bonnet gravity in non-isotope universe. It is considered the exact power-law solution in modified gravity models. A f(G) function corresponding with power law solutions for given scale factor are calculated. We show that BI-like power-law solutions only exist for a very special class of f(G) theories. It is shown that transition to phantom phase is happened by applied some bound on free parameters. We also explore the stability issue of modified gravitational models.
This is a preview of subscription content, log in via an institution to check access.
References
Allemandi, G., Borowiec, A., Francaviglia, M., Odintsov, S.D.: Phys. Rev. D 72, 063505 (2005)
Aluri, P., et al.: J. Cosmol. Astropart. Phys. 12, 3 (2013)
Armendariz-Picon, C., Mukhanov, V.F., Steinhardt, P.J.: Phys. Rev. Lett. 85, 4438 (2000)
Caldwell, R.R.: Phys. Lett. B 545, 23 (2002)
Caldwell, R.R., Dave, R., Steinhardt, P.J.: Phys. Rev. Lett. 80, 1582 (1998)
Capozziello, S., Nojiri, S., Odintsov, S.D., Troisi, A.: Phys. Lett. B 639, 135 (2006)
Carroll, S.: Living Rev. Relativ. 4, 1 (2001)
Carroll, S.M., De Felice, A., Duvvuri, V., Easson, D.A., Rodden, M.T., Turner, M.S.: Phys. Rev. D 71, 063513 (2005)
Carter, B.M.N., Neupane, I.P.: Phys. Lett. B 638, 94 (2006)
Chiba, T., Smith, T.L., Erickcek, A.L.: Phys. Rev. D 75, 124014 (2007)
Cognola, G., Zerbini, S.: J. Phys. A 39, 6245 (2006)
Cognola, G., Elizalde, E., Nojiri, S., Odintsov, S.D., Zerbini, S.: J. Cosmol. Astropart. Phys. 0502, 010 (2005)
Cognola, G., Elizalde, E., Nojiri, S., Odintsov, S.D., Zerbini, S.: Phys. Rev. D 73, 084007 (2006)
Cognola, G., Gastaldi, M., Zerbini, S.: Int. J. Theor. Phys. 47, 898 (2008)
Collins, C.B., Glass, E.N., Wilkinson, D.A.: Gen. Relativ. Gravit. 12, 805 (1980)
Erickcek, A.L., Smith, T.L., Kamionkowski, M.: Phys. Rev. D 74, 121501 (2006)
Faraoni, V.: Ann. Phys. 317, 366 (2005a)
Faraoni, V.: Phys. Rev. D 72, 061501 (2005b)
Fayaz, V., Hossienkhani, H.: Astrophys. Space Sci. 343, 291 (2013)
Fayaz, V., Hossienkhani, H., Felegary, F.: Int. J. Theor. Phys. 51, 2656 (2012)
Fayaz, V., Setare, M.R., Hossienkhani, H.: Can. J. Phys. 91, 153 (2013)
Fayaz, V., Hossienkhani, H., Amirabadi, M., Azimi, N.: Astrophys. Space Sci. 353, 301 (2014)
Felice, A.D., Tsujikawa, S.: Living Rev. Relativ. 13, 3 (2010)
Feng, B., Wang, X.L., Zhan, X.M.: Phys. Lett. B 607, 35 (2005)
Goheer, N., Goswami, R., Dunsby, P., Ananda, K.: Phys. Rev. D 79, 121301 (2009)
Guo, Z.K., Piao, Y.S., Zhang, X.M., Zhang, Y.Z.: Phys. Lett. B 608, 177 (2005)
Hossienkhani, H., Pasqua, A.: Astrophys. Space Sci. 349, 39 (2014)
Hossienkhani, H., Najafi, A., Azimi, N.: Astrophys. Space Sci. 353, 311 (2014)
Nojiri, S., Odintsov, S.D.: Phys. Rev. D 68, 123512 (2003)
Nojiri, S., Odintsov, S.D.: Phys. Lett. B 631, 1 (2005)
Nojiri, S., Odintsov, S.D.: Phys. Rev. D 74, 086005 (2006)
Nojiri, S., Odintsov, S.D.: Phys. Lett. B 652, 343 (2007a)
Nojiri, S., Odintsov, S.D.: J. Phys. Conf. Ser. 66, 012005 (2007b)
Nojiri, S., Odintsov, S.D.: Phys. Rep. 505, 59 (2011)
Nojiri, S., Odintsov, S.D., Tretyakov, P.V.: Prog. Theor. Phys. Suppl. 172, 81 (2008)
Nojiri, S., Odintsov, S.D., Toporensky, A., Tretyakov, P.: Gen. Relativ. Gravit. 42, 1997 (2010)
Overduin, J.M., Cooperstock, F.I.: Phys. Rev. D, Part. Fields 58, 043506 (1998)
Padmanabhan, T.: Phys. Rev. D 66, 021301 (2002)
Padmanabhan, T.: Phys. Rep. 380, 235 (2003)
Peebles, P.J.E., Ratra, B.: Rev. Mod. Phys. 75, 559 (2003)
Pradhan, A., Singh, S.K.: Int. J. Mod. Phys. D 13, 503 (2004)
Ratra, B., Peebles, P.J.E.: Phys. Rev. D 37, 3406 (1988)
Saaidi, Kh., Hossienkhani, H.: Astrophys. Space Sci. 333, 305 (2011)
Saha, B.: Astrophys. Space Sci. 302, 83 (2006a)
Saha, B.: Int. J. Theor. Phys. 45, 983 (2006b)
Sen, A.: J. High Energy Phys. 0207, 065 (2002)
Setare, M.R.: Phys. Lett. B 653, 116 (2007)
Setare, M.R., Saridakis, E.N.: J. Cosmol. Astropart. Phys. 09, 026 (2008)
Shani, V., Starobinsky, A.: Int. J. Mod. Phys. D 9, 373 (2000)
Shani, V., Starobinsky, A.: Int. J. Mod. Phys. D 15, 2105 (2006)
Wetterich, C.: Nucl. Phys. B 302, 668 (1988)
Acknowledgement
V. Fayaz would like to thank Islamic Azad University Hamedan Branch for their financial support.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Fayaz, V., Hossienkhani, H. & Aghamohammadi, A. Power-law solution for anisotropic universe in f(G) gravity. Astrophys Space Sci 357, 136 (2015). https://doi.org/10.1007/s10509-015-2367-7
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s10509-015-2367-7