Advertisement

International Journal of Theoretical Physics

, Volume 48, Issue 9, pp 2618–2624 | Cite as

Higher Dimensional Cosmological Model of the Universe with Decaying Λ Cosmology with Varying G

  • G. S. Khadekar
  • B. P. Butey
Article

Abstract

In this paper we present higher dimensional cosmological model of the universe with the decaying vacuum energy density in the realm of model with a time varying gravitational constant. We have shown that our model admits the usual higher dimensional de Sitter solution and the other solutions characterized by the constant ratio between matter density and the total energy density. Our work is the generalization of the work obtained earlier by Carneiro (Proceedings of the MG10 Meeting held at Brazilian Center for Research in Physics (CBPF), Rio de Janeiro, Brazil, 20–26 July, 2003) in four dimensional space-time.

Keywords

Higher dimensional theory of gravitation Variable Λ Gravitational constant G 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Sahdev, D.: Phys. Rev. D 30, 2495 (1984) CrossRefADSGoogle Scholar
  2. 2.
    Emelyanov, V.M., Nikitin, Y.P., Rozental, J.L., Borkov, A.V.: Phys. Rep. 143, 1 (1986) CrossRefADSGoogle Scholar
  3. 3.
    Chatterjee, S., Bhui, B.: Mon. Not. R. Astron. Soc. 57, 247 (1990) Google Scholar
  4. 4.
    Chatterjee, S., Bhui, B.: Int. J. Theor. Phys. 32, 671 (1993) CrossRefMathSciNetGoogle Scholar
  5. 5.
    Overduin, J.M., Wesson, P.S.: Phys. Rep. 283, 303 (1987) CrossRefADSMathSciNetGoogle Scholar
  6. 6.
    Ozar, M., Taha, M.O.: Phys. Lett. B 171, 363 (1986) CrossRefADSGoogle Scholar
  7. 7.
    Ozar, M., Taha, M.O.: Nucl. Phys. B 287, 776 (1987) CrossRefADSGoogle Scholar
  8. 8.
    Chen, W., Wu, Y.S.: Phys. Rev. D 41, 695 (1990) CrossRefADSGoogle Scholar
  9. 9.
    Burman, M.S.: Phys. Lett. B 43, 1075 (1991) MathSciNetGoogle Scholar
  10. 10.
    Abdel-Rahman, A.-M.M.: Gen. Relativ. Gravit. 22, 655 (1990) MATHCrossRefADSMathSciNetGoogle Scholar
  11. 11.
    Ratra, B., Peebles, P.J.E.: Phys. Rev. D 37, 3406 (1988) CrossRefADSGoogle Scholar
  12. 12.
    Dolgov, A.D., Gibbons, G.W., Hawking, S.W., Siklos, S.T.C. (eds.): The Very Early Universe, Cambridge Univ. Press, Cambridge (1983) Google Scholar
  13. 13.
    Dolgov, A.D., Sazhin, M.V., Zeldovich, Y.B.: Basics of Modern Cosmology. Editions Printers, Paris (1990) Google Scholar
  14. 14.
    Dolgov, A.D.: Phys. Rev. D 55, 5881 (1997) CrossRefADSGoogle Scholar
  15. 15.
    Jain, D., Dev, A., Alcaniz, J.S.: Class. Quantum Gravity 20, 4485 (2003) MATHCrossRefADSMathSciNetGoogle Scholar
  16. 16.
    Dev, A., Sethi, M., Lohiya, D.: Phys. Lett. B 504, 207 (2001) MATHCrossRefADSGoogle Scholar
  17. 17.
    Mena Marugan, G.A., Carneiro, S.: Phys. Rev. D 65, 087303 (2002) CrossRefADSGoogle Scholar
  18. 18.
    Carneiro, S.: In: Proceedings of the MG10 Meeting held at Brazilian Center for Research in Physics (CBPF), Rio de Janeiro, Brazil, 20–26 July, 2003 Google Scholar
  19. 19.
    Singh, C.P.: Int. J. Theor. Phys. 45, 531 (2006) MATHCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC 2009

Authors and Affiliations

  1. 1.Department of MathematicsRashtrasant Tukadoji Maharaj Nagpur UniversityNagpurIndia
  2. 2.Department of PhysicsG.H. Raisoni College of EngineeringNagpurIndia

Personalised recommendations