Skip to main content
Log in

Cosmological Models with Variable G in C-Field Cosmology

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

Abstract

Cosmological models with variable G in C-field cosmology for barotropic fluid distribution in FRW space-time are investigated. To get the deterministic model of the universe, we have assumed that G=R n where R is the scale factor and n the constant. To obtain the results in terms of cosmic time t, we have assumed n=−1. We find that for n=−1, Creation field (C) and spatial volume increase with time, G and ρ (matter density) decreases with time, the model represent accelerating universe. Thus inflationary scenario exists in the model. The model is also free from horizon. The results so obtained match with the astronomical observations.

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. Dicke, R.H., Peebles, P.J.E.: Space Sci. Rev. 4, 419 (1965)

    Article  ADS  Google Scholar 

  2. Dicke, R.H.: In: De Witt, C., DeWitt, B. (eds.) Relativity, Groups and Topology. Lectures delivered at Les Houches 1963. Gordon & Breach, New York (1963)

    Google Scholar 

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

    Article  MATH  ADS  Google Scholar 

  4. Pochoda, P., Schwarzschild, M.: Astrophys. J. 139, 587 (1963)

    Article  ADS  Google Scholar 

  5. Ezer, D., Cameron, A.G.W.: Can. J. Phys. 4, 593 (1966)

    Article  ADS  Google Scholar 

  6. Gamow, G.: Proc. Natl. Acad. Sci. (USA) 57, 187 (1967c)

    Article  ADS  Google Scholar 

  7. Demarque, P., Krauss, L.M., Guenther, D.B., Nydam, D.: Astrophys. J. 437, 870 (1994)

    Article  ADS  Google Scholar 

  8. Gaztanaga, E., Garcia-Berro, E., Isern, J., Bravo, E., Dominguez, I.: Phys. Rev. D 65, 023506 (2002)

    Article  ADS  Google Scholar 

  9. Barrow, J.D.: Mon. Not. R. Astron. Soc. 184, 677 (1978)

    ADS  Google Scholar 

  10. Brans, C., Dicke, R.H.: Phys. Rev. 24, 925 (1961)

    Article  MathSciNet  ADS  Google Scholar 

  11. Hoyle, F., Narlikar, J.V.: Proc. R. Soc. Lond. A 282, 191 (1964)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  12. Hoyle, F., Narlikar, J.V.: Nature 233, 41 (1971)

    Article  ADS  Google Scholar 

  13. Canuto, V., Hsich, S.H., Adams, P.J.: Phys. Rev. Lett. A 39, 429 (1977b)

    Article  ADS  MATH  Google Scholar 

  14. Guth, A.H.: Phys. Rev. D 23, 347 (1981)

    Article  ADS  Google Scholar 

  15. Linde, A.D.: Phys. Lett. B 108, 389 (1982)

    Article  MathSciNet  ADS  Google Scholar 

  16. Grön, O.: Phys. Rev. D 32, 2522 (1985)

    Article  ADS  Google Scholar 

  17. Barrow, J.D.: Phys. Lett. B 182, 25 (1986)

    Article  MathSciNet  ADS  Google Scholar 

  18. Rothman, T., Ellis, G.F.R.: Phys. Lett. B 180, 19 (1986)

    Article  ADS  Google Scholar 

  19. Madsen, M.S., Coles, P.: Nucl. Phys. B 298, 701 (1988)

    Article  ADS  Google Scholar 

  20. Linde, A.D.: Class. Quantum Gravity 18, 3275 (2001)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  21. Bali, R., Jain, V.C.: Pramana J. Phys. 59, 1 (2002)

    Article  ADS  Google Scholar 

  22. Chervon, S.: Gen. Relativ. Gravit. 36, 1547 (2004)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  23. Reddy, D.R.K., Adhav, K.S., Katore, S.D., Wankhade, K.S.: Int. J. Theor. Phys. 48, 2884 (2009)

    Article  MATH  MathSciNet  Google Scholar 

  24. Hoyle, F., Narlikar, J.V.: Proc. R. Soc. Lond. A 290, 162 (1966)

    Article  ADS  Google Scholar 

  25. Bondi, H., Gold, T.: Mon. Not. R. Astron. Soc. 108, 252 (1948)

    MATH  ADS  Google Scholar 

  26. Narlikar, J.V.: Nature 242, 135 (1973)

    Article  ADS  Google Scholar 

  27. Narlikar, J.V., Padmanabhan, T.: Phys. Rev. D 32, 1928 (1985)

    Article  MathSciNet  ADS  Google Scholar 

  28. Caldwell, R.R.: Phys. Lett. B 545, 23 (2002)

    Article  ADS  Google Scholar 

  29. Gibbons, G.W.: arxiv:hep-th/0302199v1 (2003)

  30. Singh, P., Sami, M., Dadhich, N.: Phys. Rev. D 68, 023522 (2003)

    Article  ADS  Google Scholar 

  31. Giocomini, H., Lara, L.: Gen. Relativ. Gravit. 38, 137 (2006)

    Article  ADS  Google Scholar 

  32. Paul, B.C., Paul, D.: Pramana J. Phys. 71, 1247 (2008)

    Article  ADS  Google Scholar 

  33. Vishwakarma, R.G., Narlikar, J.V.: J. Astrophys. Astron 28, 17 (2007)

    Article  ADS  Google Scholar 

  34. Bali, R., Tikekar, R.: Chin. Phys. Lett. 24, 3290 (2007)

    Article  ADS  Google Scholar 

  35. Bali, R., Kumawat, M.: Int. J. Theor. Phys. 48, 3410 (2009)

    Article  MATH  MathSciNet  Google Scholar 

  36. Narlikar, J.V.: Introduction to Cosmology, p. 140. Cambridge University Press, Cambridge (2002)

    Google Scholar 

  37. Hawking, S.W., Ellis, G.F.R.: The Large Scale Structure of Space-Time, p. 126. Cambridge University Press, Cambridge (1973)

    Book  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Raj Bali.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bali, R., Kumawat, M. Cosmological Models with Variable G in C-Field Cosmology. Int J Theor Phys 50, 27–34 (2011). https://doi.org/10.1007/s10773-010-0489-9

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-010-0489-9

Keywords

Navigation