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International Journal of Theoretical Physics

, Volume 47, Issue 7, pp 1844–1852 | Cite as

Early Universe with Variable Cosmological Constants in Higher Dimensional Space Time

  • G. S. Khadekar
  • Gopal L. Kondawar
  • Cenap Ozel
Article
  • 62 Downloads

Abstract

The field equations with variable cosmological and gravitational constants are consider in the presence of perfect fluid for Kaluza-Klein type cosmological model. The exact solutions of the field equations are obtained by using the gamma law equation of state p=(γ−1)ρ in which the parameter γ depends on scale factor R. The functional form of γ(R) is used to analyze a wide range of cosmological solution at early universe for two phases in cosmic history: inflationary phase and radiation dominated phase. The corresponding physical interpretation of cosmological solution are also discussed in the framework of higher dimensional space time.

Keywords

Early universe Gravitational and cosmological constants 

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References

  1. 1.
    Kaluza, T.: Zum Unitatsproblem der Physik, Sitz.ber. Preuss. Akad. Wiss. Phys.-Math. Kl., 966 (1921) Google Scholar
  2. 2.
    Klein, O.: Z. Phys. 37, 895 (1926) CrossRefADSGoogle Scholar
  3. 3.
    Sahdev, D.: Phys. Rev. D 30, 2495 (1984) CrossRefADSGoogle Scholar
  4. 4.
    Emelyanov, V.M., Nikitin, Yu.P., Rozental, J.L., Berkov, A.V.: Phys. Rep. 143, 1 (1986) CrossRefADSGoogle Scholar
  5. 5.
    Chatterjee, S., Bhui, B.: Int. J. Theor. Phys. 32, 671 (1993) CrossRefMathSciNetGoogle Scholar
  6. 6.
    Overduin, J.M., Wesson, P.S.: Phys. Rep. 283, 303 (1997) CrossRefADSMathSciNetGoogle Scholar
  7. 7.
    Fukui, T.: Gen. Rel. Gravit. 25, 931 (1993) CrossRefADSMathSciNetGoogle Scholar
  8. 8.
    Ponce de Leon, J.: Gen. Rel. Gravit. 20, 539 (1988) CrossRefADSMathSciNetGoogle Scholar
  9. 9.
    Chi, L.K.: Gen. Rel. Gravit. 22, 1347 (1990) CrossRefADSMathSciNetGoogle Scholar
  10. 10.
    Lui, H., Wesson, P.S.: Int. J. Mod. Phys. D 3, 627 (1994) CrossRefADSGoogle Scholar
  11. 11.
    Coley, A.A.: Astrophys. J. 427, 585 (1994) CrossRefADSGoogle Scholar
  12. 12.
    Alvarez, E., Gavela, M.B.: Phys. Rev. Lett. 51, 931 (1983) CrossRefADSGoogle Scholar
  13. 13.
    Barr, M., Brown, L.S.: Phys. Rev. D 29, 2779 (1984) CrossRefADSGoogle Scholar
  14. 14.
    Abbott, R.B., Barr, S.M.: Phys. Rev. D 30, 720 (1984) CrossRefADSMathSciNetGoogle Scholar
  15. 15.
    Shafi, Q., Wetterich, C.: Phys. Lett. 129B, 387 (1983) ADSGoogle Scholar
  16. 16.
    Demarat, J., Hanquin, J.L.: Phys. Rev. D 31, 258 (1985) CrossRefADSMathSciNetGoogle Scholar
  17. 17.
    Davidson, J.S., Vozmediano, A.H.: Phys. Rev. D 32, 1330 (1985) CrossRefADSMathSciNetGoogle Scholar
  18. 18.
    Davidson, J.S., Vozmediano, A.H.: Phys. Lett. 168B, 183 (1985) ADSMathSciNetGoogle Scholar
  19. 19.
    Lorenz-Petzold: Phys. Lett. 149B, 79 (1984) ADSMathSciNetGoogle Scholar
  20. 20.
    Lorenz-Petzold: Phys. Lett. 153B, 134 (1985) ADSMathSciNetGoogle Scholar
  21. 21.
    Lorenz-Petzold: Phys. Rev. D 31, 929 (1986) CrossRefADSMathSciNetGoogle Scholar
  22. 22.
    Lorenz-Petzold: Phys. Lett. 167B, 157 (1986) ADSMathSciNetGoogle Scholar
  23. 23.
    Dirac, P.A.M.: Nature (London) 139, 323 (1937) CrossRefADSMATHGoogle Scholar
  24. 24.
    Dicke, R.H.: Nature (London) 192, 440 (1961) MATHCrossRefADSGoogle Scholar
  25. 25.
    Dirac, P.A.M.: Nature (London) 139, 1001 (1937) CrossRefGoogle Scholar
  26. 26.
    Dirac, P.A.M.: Proc. Roy. Soc. Lond. 165, 199 (1938) MATHADSCrossRefGoogle Scholar
  27. 27.
    Canuto, V., Admas, R.H., Hsieh, S.H., Tsiang, E.: Phys. Rev. D 16, 1643 (1977) CrossRefADSMathSciNetGoogle Scholar
  28. 28.
    Fulling, S.A., Parker, L., Hu, B.L.: Phys. Rev. D 10, 3905 (1974) CrossRefADSMathSciNetGoogle Scholar
  29. 29.
    Canuto, V., Hsieh, S.H., Admas, P.J.: Phys. Lett. 39, 429 (1977) CrossRefGoogle Scholar
  30. 30.
    Carvalho, J.C.: Int. J. Theor. Phys. 35, 2019 (1996) MATHCrossRefGoogle Scholar
  31. 31.
    Singh, C.P.: Int. J. Theor. Phys. 45, 531 (2006) MATHCrossRefGoogle Scholar
  32. 32.
    Brans, C., Dicke, R.H.: Phys. Rev. 124, 925 (1961) MATHCrossRefADSMathSciNetGoogle Scholar
  33. 33.
    Lima, J.A.S., Carvalho, J.C.: Gen. Rel. Gravit. 26, 909 (1994) CrossRefADSGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC 2007

Authors and Affiliations

  • G. S. Khadekar
    • 1
  • Gopal L. Kondawar
    • 1
  • Cenap Ozel
    • 2
  1. 1.Department of MathematicsRashtrasant Tukadoji Maharaj Nagpur UniversityNagpurIndia
  2. 2.Department of MathematicsThe University of Abant Izzet BaysalGolkoy BoluTurkey

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