Skip to main content
Log in

Early Universe with Variable Cosmological Constants in Higher Dimensional Space Time

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

    We’re sorry, something doesn't seem to be working properly.

    Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Kaluza, T.: Zum Unitatsproblem der Physik, Sitz.ber. Preuss. Akad. Wiss. Phys.-Math. Kl., 966 (1921)

  2. Klein, O.: Z. Phys. 37, 895 (1926)

    Article  ADS  Google Scholar 

  3. Sahdev, D.: Phys. Rev. D 30, 2495 (1984)

    Article  ADS  Google Scholar 

  4. Emelyanov, V.M., Nikitin, Yu.P., Rozental, J.L., Berkov, A.V.: Phys. Rep. 143, 1 (1986)

    Article  ADS  Google Scholar 

  5. Chatterjee, S., Bhui, B.: Int. J. Theor. Phys. 32, 671 (1993)

    Article  MathSciNet  Google Scholar 

  6. Overduin, J.M., Wesson, P.S.: Phys. Rep. 283, 303 (1997)

    Article  ADS  MathSciNet  Google Scholar 

  7. Fukui, T.: Gen. Rel. Gravit. 25, 931 (1993)

    Article  ADS  MathSciNet  Google Scholar 

  8. Ponce de Leon, J.: Gen. Rel. Gravit. 20, 539 (1988)

    Article  ADS  MathSciNet  Google Scholar 

  9. Chi, L.K.: Gen. Rel. Gravit. 22, 1347 (1990)

    Article  ADS  MathSciNet  Google Scholar 

  10. Lui, H., Wesson, P.S.: Int. J. Mod. Phys. D 3, 627 (1994)

    Article  ADS  Google Scholar 

  11. Coley, A.A.: Astrophys. J. 427, 585 (1994)

    Article  ADS  Google Scholar 

  12. Alvarez, E., Gavela, M.B.: Phys. Rev. Lett. 51, 931 (1983)

    Article  ADS  Google Scholar 

  13. Barr, M., Brown, L.S.: Phys. Rev. D 29, 2779 (1984)

    Article  ADS  Google Scholar 

  14. Abbott, R.B., Barr, S.M.: Phys. Rev. D 30, 720 (1984)

    Article  ADS  MathSciNet  Google Scholar 

  15. Shafi, Q., Wetterich, C.: Phys. Lett. 129B, 387 (1983)

    ADS  Google Scholar 

  16. Demarat, J., Hanquin, J.L.: Phys. Rev. D 31, 258 (1985)

    Article  ADS  MathSciNet  Google Scholar 

  17. Davidson, J.S., Vozmediano, A.H.: Phys. Rev. D 32, 1330 (1985)

    Article  ADS  MathSciNet  Google Scholar 

  18. Davidson, J.S., Vozmediano, A.H.: Phys. Lett. 168B, 183 (1985)

    ADS  MathSciNet  Google Scholar 

  19. Lorenz-Petzold: Phys. Lett. 149B, 79 (1984)

    ADS  MathSciNet  Google Scholar 

  20. Lorenz-Petzold: Phys. Lett. 153B, 134 (1985)

    ADS  MathSciNet  Google Scholar 

  21. Lorenz-Petzold: Phys. Rev. D 31, 929 (1986)

    Article  ADS  MathSciNet  Google Scholar 

  22. Lorenz-Petzold: Phys. Lett. 167B, 157 (1986)

    ADS  MathSciNet  Google Scholar 

  23. Dirac, P.A.M.: Nature (London) 139, 323 (1937)

    Article  ADS  MATH  Google Scholar 

  24. Dicke, R.H.: Nature (London) 192, 440 (1961)

    Article  MATH  ADS  Google Scholar 

  25. Dirac, P.A.M.: Nature (London) 139, 1001 (1937)

    Article  Google Scholar 

  26. Dirac, P.A.M.: Proc. Roy. Soc. Lond. 165, 199 (1938)

    Article  MATH  ADS  Google Scholar 

  27. Canuto, V., Admas, R.H., Hsieh, S.H., Tsiang, E.: Phys. Rev. D 16, 1643 (1977)

    Article  ADS  MathSciNet  Google Scholar 

  28. Fulling, S.A., Parker, L., Hu, B.L.: Phys. Rev. D 10, 3905 (1974)

    Article  ADS  MathSciNet  Google Scholar 

  29. Canuto, V., Hsieh, S.H., Admas, P.J.: Phys. Lett. 39, 429 (1977)

    Article  Google Scholar 

  30. Carvalho, J.C.: Int. J. Theor. Phys. 35, 2019 (1996)

    Article  MATH  Google Scholar 

  31. Singh, C.P.: Int. J. Theor. Phys. 45, 531 (2006)

    Article  MATH  Google Scholar 

  32. Brans, C., Dicke, R.H.: Phys. Rev. 124, 925 (1961)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  33. Lima, J.A.S., Carvalho, J.C.: Gen. Rel. Gravit. 26, 909 (1994)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to G. S. Khadekar.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Khadekar, G.S., Kondawar, G.L. & Ozel, C. Early Universe with Variable Cosmological Constants in Higher Dimensional Space Time. Int J Theor Phys 47, 1844–1852 (2008). https://doi.org/10.1007/s10773-007-9629-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-007-9629-2

Keywords

Navigation