Skip to main content
Log in

FRW Cosmology with Variable G and Λ

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

Abstract

We have considered a cosmological model of the FRW universe with variable G and Λ. The solutions have been obtained for flat model with particular form of cosmological constant. The cosmological parameters have also been obtained for dust, radiation and stiff matter. The statefinder parameters are analyzed and have shown that these depends only on w and ε. Further the lookback time, proper distance, luminosity distance and angular diameter distance have also been calculated for our model.

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. Wesson, P.S.: Cosmology and Geophysics. Oxford University Press, Oxford (1978)

    Google Scholar 

  2. Wesson, P.S.: Gravity, Particles and Astrophysics. Rieded, Dordrecht (1980)

    Google Scholar 

  3. Tiwari, R.K.: Astrophys. Space Sci. 321, 147 (2009)

    Article  ADS  Google Scholar 

  4. Jamil, M., et al.: Eur. Phys. J. C 60, 149 (2009)

    Article  ADS  MathSciNet  Google Scholar 

  5. Jamil, M., et al.: Phys. Lett. B 679, 172 (2009)

    Article  ADS  MathSciNet  Google Scholar 

  6. Setare, M.R., Jamil, M.: J. Cosmol. Astropart. Phys. 1002, 010 (2010)

    Article  ADS  MathSciNet  Google Scholar 

  7. Dirac, P.A.M.: Proc. R. Soc. A 165, 119 (1938)

    Article  Google Scholar 

  8. Dirac, P.A.M.: Proc. R. Soc. A 365, 19 (1979)

    Article  ADS  MathSciNet  Google Scholar 

  9. Dirac, P.A.M.: Proc. R. Soc. A 333, 403 (1973)

    Article  ADS  MathSciNet  Google Scholar 

  10. Dirac, P.A.M.: The General Theory of Relativity. Wiley, New York (1975)

    Google Scholar 

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

    Article  MATH  ADS  MathSciNet  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  MATH  ADS  MathSciNet  Google Scholar 

  14. Zeldovich, Y.B.: Sov. Phys. JETP 14, 1143 (1968)

    Google Scholar 

  15. Zeldovich, Y.B.: Usp. Fiz. Nauk 11, 384 (1968)

    Google Scholar 

  16. Peebles, P.J.E., Ratra, B.: Astrophys. J. 325, L17 (1988)

    Article  ADS  Google Scholar 

  17. Bergmann, P.G.: Int. J. Theor. Phys. 1, 25 (1968)

    Article  Google Scholar 

  18. Agoner, R.V.: Phys. Rev. D 1, 3209 (1970)

    Article  ADS  Google Scholar 

  19. Banerjee, A., Dutta Chaudhuri, S.B., Banerjee, N.: Phys. Rev. D 32, 3096 (1985)

    Article  ADS  MathSciNet  Google Scholar 

  20. Bertolami, O.: Nuovo Cimento 93B, 36 (1986)

    ADS  Google Scholar 

  21. Bertolami, O.: Fortschr. Phys. 34, 829 (1986)

    Google Scholar 

  22. Abdussattar, Vishwakarma, R.G.: Class. Quantum Gravity 14, 945 (1997)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  23. Kaligas, D., Wesson, P., Everitt, C.W.F.: Gen. Relativ. Gravit. 24, 351 (1992)

    Article  MATH  ADS  Google Scholar 

  24. Abdel Rahaman, A.-M.M.: Gen. Relativ. Gravit. 22, 655 (1990)

    Article  ADS  Google Scholar 

  25. Berman, M.S.: Gen. Relativ. Gravit. 23, 465 (1991)

    Article  ADS  Google Scholar 

  26. Beesham, A.: Int. J. Theor. Phys. 25, 1295 (1986)

    Article  MATH  Google Scholar 

  27. Weinberg, S.: Gravitation and Cosmology. Wiley, New York (1972)

    Google Scholar 

  28. Abers, E.S., Lee, B.W.: Phys. Rep. 9, 1 (1973)

    Article  ADS  Google Scholar 

  29. Langacker, P.: Phys. Rep. 72, 185 (1981)

    Article  ADS  Google Scholar 

  30. Al-Rawaf, A.S., Taha, M.O.: Gen. Relativ. Gravit. 28, 935 (1996)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  31. Arbab, I.: Class. Quantum Gravity 20, 93 (2003)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  32. Arbab, A.I.: Astrophys. Space Sci. 291, 141 (2004)

    Article  ADS  Google Scholar 

  33. Carvalho, J.C., Lima, J.A.S., Waga, L.: Phys. Rev. D 46, 2404 (1992)

    Article  ADS  Google Scholar 

  34. Krori, K.D., et al.: Gen. Relativ. Gravit. 32, 1439 (2000)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  35. Sahni, V., et al.: JETP Lett. 77, 201 (2003)

    Article  ADS  Google Scholar 

  36. Debnath, U.: Class. Quantum Gravity 25, 205019 (2008)

    Article  ADS  MathSciNet  Google Scholar 

  37. Zhang, X.: Int. J. Mod. Phys. D 14, 1597 (2005)

    Article  MATH  ADS  Google Scholar 

  38. Wei, H., Cai, R.G.: Phys. Lett. B 655, 1 (2007)

    Article  ADS  Google Scholar 

  39. Zhang, X.: Phys. Lett. B 611, 1 (2005)

    Article  ADS  Google Scholar 

  40. Huang, J.Z., et al.: Astrophys. Space Sci. 315, 175 (2008)

    Article  ADS  Google Scholar 

  41. Zhao, W.: Int. J. Mod. Phys. D 17, 1245 (2008)

    Article  MATH  ADS  Google Scholar 

  42. Hu, M., Meng, X.H.: Phys. Lett. B 635, 186 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  43. Zimdahl, W., Pavon, D.: Gen. Relativ. Gravit. 36, 1483 (2004)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  44. Shao, Y., Gui, Y.: Mod. Phys. Lett. A 23, 65 (2008)

    Article  MATH  ADS  Google Scholar 

  45. Chakraborty, W., Debnath, U.: Mod. Phys. Lett. A 22, 1805 (2007)

    Article  MATH  ADS  Google Scholar 

  46. Li, S., et al.: arXiv:1002.3867 [astro-ph.CO]

  47. Singh, T., et al.: Gen. Relativ. Gravit. 30, 573 (1998)

    Article  MATH  ADS  Google Scholar 

  48. Arbab, A.I.: astro-ph/9810239

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Mubasher Jamil.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Jamil, M., Debnath, U. FRW Cosmology with Variable G and Λ. Int J Theor Phys 50, 1602–1613 (2011). https://doi.org/10.1007/s10773-011-0670-9

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-011-0670-9

Keywords

Navigation