Skip to main content
Log in

LRS Bianchi Type-I Dark Energy Cosmological Model in Brans-Dicke Theory of Gravitation

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

Abstract

Bianchi type-I dark energy model with variable equation of state (EoS) parameter is presented in a scalar-tensor theory of gravitation proposed by Brans and Dicke (Phys. Rev. 124:925, 1961). To get a determinate solution of the field equations we will take the help of special law of variation for Hubble’s parameter presented by Bermann (Nuovo Cimento B. 74:182, 1983) which yields a dark energy cosmological model with negative constant deceleration parameter. It is observed that this dark energy cosmological model always represents an accelerated and expanding universe and also consistent with the recent observations of type-Ia supernovae. Some physical and geometrical properties of the model are also discussed.

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. Adhav, K.S., Nimkar, A.S., Ugale, M.R., Dawande, M.V.: Astrophys. Space Sci. 310, 231 (2007)

    Article  ADS  MATH  Google Scholar 

  2. Bali, R.: Int. J. Theor. Phys. 50, 3043 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  3. Bali, R., Singh, J.P.: Int. J. Theor. Phys. 47, 3288 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  4. Banerjee, A., Santos, N.O.: Nuovo Cimento B 67, 31 (1982)

    Article  MathSciNet  ADS  Google Scholar 

  5. Bartelmann, M., et al.: New Astron. Rev. 49, 199 (2005)

    Article  ADS  Google Scholar 

  6. Belinskii, V.A., Khalatnikov, I.M.: Sov. Phys. JETP 36, 591 (1973)

    MathSciNet  ADS  Google Scholar 

  7. Berman, M.S., et al.: Gen. Relativ. Gravit. 21, 287 (1989)

    Article  ADS  Google Scholar 

  8. Berman, M.S.: Nuovo Cimento B 74, 182 (1983)

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

  10. Caldwell, R.R., et al.: Phys. Rev. Lett. 80, 1582 (1998)

    Article  ADS  Google Scholar 

  11. Caldwell, R.R., Komp, W., Parker, L., Vanzella, D.A.T.: Phys. Rev. D 73, 023513 (2006)

    Article  ADS  Google Scholar 

  12. Chen, C.-W., Gu, J.-A., Chen, P.: Mod. Phys. Lett. A 24, 1649 (2009)

    Article  ADS  Google Scholar 

  13. Chimento, L.P., Jakubi, A.S., Mendez, W., Maartens, R.: Class. Quantum Gravity 14, 3363 (1997)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  14. Das, A., et al.: Phys. Rev. D 72, 043528 (2005)

    Article  ADS  Google Scholar 

  15. Huterer, D., Turner, M.S.: Phys. Rev. D 64, 123527 (2001)

    Article  ADS  Google Scholar 

  16. Jimenez, R.: New Astron. Rev. 47, 761 (2003)

    Article  ADS  Google Scholar 

  17. Krauss, L.M., Jones-Smith, K., Huterer, D.: New J. Phys. 9, 141 (2007)

    Article  ADS  Google Scholar 

  18. Kujat, J., et al.: Astrophys. J. 572, 1 (2002)

    Article  ADS  Google Scholar 

  19. Kumar, S.: arxiv:1010.0672 [gr.–qc] (2010)

  20. Linden, S., Virey, J.-M.: Phys. Rev. D 78, 023526 (2008)

    Article  ADS  Google Scholar 

  21. MacCalum, M.A.H.: Commun. Math. Phys. 20, 57 (1971)

    Article  ADS  Google Scholar 

  22. Nariai, H.: Prog. Theor. Phys. 47, 1824 (1972)

    Article  ADS  Google Scholar 

  23. Perlmutter, S., et al.: Astrophys. J. 517, 5 (1999)

    Article  Google Scholar 

  24. Pradhan, A., Pandey, P.: Astrophys. Space Sci. 301, 127 (2006)

    Article  ADS  MATH  Google Scholar 

  25. Pradhan, A., Singh, S.K.: Int. J. Mod. Phys. D 13, 503 (2004)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  26. Pradhan, A., Amirhashchi, H., Saha, B.: Int. J. Theor. Phys. 50, 2923 (2011)

    Article  MATH  Google Scholar 

  27. Rao, V.U.M., Sireesha, K.V.S.: Eur. Phys. J. Plus 127, 33 (2012)

    Article  Google Scholar 

  28. Rao, V.U.M., Vijaya Santhi, M.: J. Mod. Phys. 2, 1222 (2011)

    Article  Google Scholar 

  29. Rao, V.U.M., Vijaya Santhi, M., Vinutha, T.: Astrophys. Space Sci. 317, 27 (2008)

    Article  ADS  Google Scholar 

  30. Rao, V.U.M., Sreedevi Kumari, G., Neelima, D.: Astrophys. Space Sci. 337, 499 (2012)

    Article  ADS  MATH  Google Scholar 

  31. Ray, S., Rahaman, F., Mukhopadhyay, U., Sarkar, R.: (2010). arXiv:1003.5895 [phys.gen-ph]

  32. Reddy, D.R.K.: Astrophys. Space Sci. 286, 365 (2003)

    Article  ADS  MATH  Google Scholar 

  33. Reddy, D.R.K., Naidu, R.L.: Astrophys. Space Sci. 307, 395 (2007)

    Article  ADS  Google Scholar 

  34. Reddy, D.R.K., Rao, V.U.M.: J. Phys. A, Math. Gen. 14, 1973 (1981)

    Article  MathSciNet  ADS  Google Scholar 

  35. Riess, A.G., et al.: Astron. J. 116, 1009 (1998)

    Article  ADS  Google Scholar 

  36. Saez, D., Ballester, V.J.: Phys. Lett. A 113, 467 (1986)

    Article  ADS  Google Scholar 

  37. Sahni, V., Shafielooa, A., Starobinsky, A.: Phys. Rev. D 78, 103502 (2008)

    Article  ADS  Google Scholar 

  38. Sahni, V., Starobinsky, A.: Int. J. Mod. Phys. D 15, 2105 (2006)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  39. Shri Ram: Gen. Relativ. Gravit. 15, 635 (1983)

    Article  ADS  MATH  Google Scholar 

  40. Shri Ram, Singh, D.K.: Astrophys. Space Sci. 103, 21 (1984)

    Article  ADS  Google Scholar 

  41. Singh, T., Rai, L.N.: Gen. Relativ. Gravit. 15, 875 (1983)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  42. Spregel, D.N., et al.: Astrophys. J. Suppl. Ser. 170, 377 (2007)

    Article  ADS  Google Scholar 

  43. Steinhardt, P.J., et al.: Phys. Rev. D 59, 023504 (1999)

    Article  MathSciNet  ADS  Google Scholar 

  44. Tegmark, M., et al.: Astrophys. J. 606, 702 (2004)

    Article  ADS  Google Scholar 

  45. Turner, M.S., White, M.: Phys. Rev. D 56, R4439 (1997)

    Article  ADS  Google Scholar 

  46. Usmani, A.A., Ghosh, P.P., Mukhopadhyay, U., Ray, P.C., Ray, S.: Mon. Not. R. Astron. Soc. Lett. 386, L92 (2008)

    Article  ADS  Google Scholar 

  47. Weller, J., Albrecht, A.: Phys. Rev. D 65, 103512 (2002)

    Article  ADS  Google Scholar 

  48. Yadav, A.K., Saha, B.: Astrophys. Space Sci. (2011). doi:10.1007/s10509-011-0861-0

    Google Scholar 

  49. Yadav, A.K., Yadav, L.: (2010). arXiv:1007.1411 [gr-qc]

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to V. U. M. Rao.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Rao, V.U.M., Vijaya Santhi, M., Vinutha, T. et al. LRS Bianchi Type-I Dark Energy Cosmological Model in Brans-Dicke Theory of Gravitation. Int J Theor Phys 51, 3303–3310 (2012). https://doi.org/10.1007/s10773-012-1210-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-012-1210-y

Keywords

Navigation