Advertisement

International Journal of Theoretical Physics

, Volume 51, Issue 10, pp 3303–3310 | Cite as

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

  • V. U. M. Rao
  • M. Vijaya Santhi
  • T. Vinutha
  • G. Sree Devi Kumari
Article

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.

Keywords

Bianchi type-I Brans-Dicke Scalar–Tensor theory Dark energy Hubble’s parameter 

References

  1. 1.
    Adhav, K.S., Nimkar, A.S., Ugale, M.R., Dawande, M.V.: Astrophys. Space Sci. 310, 231 (2007) ADSMATHCrossRefGoogle Scholar
  2. 2.
    Bali, R.: Int. J. Theor. Phys. 50, 3043 (2011) MathSciNetMATHCrossRefGoogle Scholar
  3. 3.
    Bali, R., Singh, J.P.: Int. J. Theor. Phys. 47, 3288 (2008) MathSciNetMATHCrossRefGoogle Scholar
  4. 4.
    Banerjee, A., Santos, N.O.: Nuovo Cimento B 67, 31 (1982) MathSciNetADSCrossRefGoogle Scholar
  5. 5.
    Bartelmann, M., et al.: New Astron. Rev. 49, 199 (2005) ADSCrossRefGoogle Scholar
  6. 6.
    Belinskii, V.A., Khalatnikov, I.M.: Sov. Phys. JETP 36, 591 (1973) MathSciNetADSGoogle Scholar
  7. 7.
    Berman, M.S., et al.: Gen. Relativ. Gravit. 21, 287 (1989) ADSCrossRefGoogle Scholar
  8. 8.
    Berman, M.S.: Nuovo Cimento B 74, 182 (1983) ADSCrossRefGoogle Scholar
  9. 9.
    Brans, C., Dicke, R.H.: Phys. Rev. 124, 925 (1961) MathSciNetADSMATHCrossRefGoogle Scholar
  10. 10.
    Caldwell, R.R., et al.: Phys. Rev. Lett. 80, 1582 (1998) ADSCrossRefGoogle Scholar
  11. 11.
    Caldwell, R.R., Komp, W., Parker, L., Vanzella, D.A.T.: Phys. Rev. D 73, 023513 (2006) ADSCrossRefGoogle Scholar
  12. 12.
    Chen, C.-W., Gu, J.-A., Chen, P.: Mod. Phys. Lett. A 24, 1649 (2009) ADSCrossRefGoogle Scholar
  13. 13.
    Chimento, L.P., Jakubi, A.S., Mendez, W., Maartens, R.: Class. Quantum Gravity 14, 3363 (1997) MathSciNetADSMATHCrossRefGoogle Scholar
  14. 14.
    Das, A., et al.: Phys. Rev. D 72, 043528 (2005) ADSCrossRefGoogle Scholar
  15. 15.
    Huterer, D., Turner, M.S.: Phys. Rev. D 64, 123527 (2001) ADSCrossRefGoogle Scholar
  16. 16.
    Jimenez, R.: New Astron. Rev. 47, 761 (2003) ADSCrossRefGoogle Scholar
  17. 17.
    Krauss, L.M., Jones-Smith, K., Huterer, D.: New J. Phys. 9, 141 (2007) ADSCrossRefGoogle Scholar
  18. 18.
    Kujat, J., et al.: Astrophys. J. 572, 1 (2002) ADSCrossRefGoogle Scholar
  19. 19.
    Kumar, S.: arxiv:1010.0672 [gr.–qc] (2010)
  20. 20.
    Linden, S., Virey, J.-M.: Phys. Rev. D 78, 023526 (2008) ADSCrossRefGoogle Scholar
  21. 21.
    MacCalum, M.A.H.: Commun. Math. Phys. 20, 57 (1971) ADSCrossRefGoogle Scholar
  22. 22.
    Nariai, H.: Prog. Theor. Phys. 47, 1824 (1972) ADSCrossRefGoogle Scholar
  23. 23.
    Perlmutter, S., et al.: Astrophys. J. 517, 5 (1999) CrossRefGoogle Scholar
  24. 24.
    Pradhan, A., Pandey, P.: Astrophys. Space Sci. 301, 127 (2006) ADSMATHCrossRefGoogle Scholar
  25. 25.
    Pradhan, A., Singh, S.K.: Int. J. Mod. Phys. D 13, 503 (2004) MathSciNetADSMATHCrossRefGoogle Scholar
  26. 26.
    Pradhan, A., Amirhashchi, H., Saha, B.: Int. J. Theor. Phys. 50, 2923 (2011) MATHCrossRefGoogle Scholar
  27. 27.
    Rao, V.U.M., Sireesha, K.V.S.: Eur. Phys. J. Plus 127, 33 (2012) CrossRefGoogle Scholar
  28. 28.
    Rao, V.U.M., Vijaya Santhi, M.: J. Mod. Phys. 2, 1222 (2011) CrossRefGoogle Scholar
  29. 29.
    Rao, V.U.M., Vijaya Santhi, M., Vinutha, T.: Astrophys. Space Sci. 317, 27 (2008) ADSCrossRefGoogle Scholar
  30. 30.
    Rao, V.U.M., Sreedevi Kumari, G., Neelima, D.: Astrophys. Space Sci. 337, 499 (2012) ADSMATHCrossRefGoogle Scholar
  31. 31.
    Ray, S., Rahaman, F., Mukhopadhyay, U., Sarkar, R.: (2010). arXiv:1003.5895 [phys.gen-ph]
  32. 32.
    Reddy, D.R.K.: Astrophys. Space Sci. 286, 365 (2003) ADSMATHCrossRefGoogle Scholar
  33. 33.
    Reddy, D.R.K., Naidu, R.L.: Astrophys. Space Sci. 307, 395 (2007) ADSCrossRefGoogle Scholar
  34. 34.
    Reddy, D.R.K., Rao, V.U.M.: J. Phys. A, Math. Gen. 14, 1973 (1981) MathSciNetADSCrossRefGoogle Scholar
  35. 35.
    Riess, A.G., et al.: Astron. J. 116, 1009 (1998) ADSCrossRefGoogle Scholar
  36. 36.
    Saez, D., Ballester, V.J.: Phys. Lett. A 113, 467 (1986) ADSCrossRefGoogle Scholar
  37. 37.
    Sahni, V., Shafielooa, A., Starobinsky, A.: Phys. Rev. D 78, 103502 (2008) ADSCrossRefGoogle Scholar
  38. 38.
    Sahni, V., Starobinsky, A.: Int. J. Mod. Phys. D 15, 2105 (2006) MathSciNetADSMATHCrossRefGoogle Scholar
  39. 39.
    Shri Ram: Gen. Relativ. Gravit. 15, 635 (1983) ADSMATHCrossRefGoogle Scholar
  40. 40.
    Shri Ram, Singh, D.K.: Astrophys. Space Sci. 103, 21 (1984) ADSCrossRefGoogle Scholar
  41. 41.
    Singh, T., Rai, L.N.: Gen. Relativ. Gravit. 15, 875 (1983) MathSciNetADSMATHCrossRefGoogle Scholar
  42. 42.
    Spregel, D.N., et al.: Astrophys. J. Suppl. Ser. 170, 377 (2007) ADSCrossRefGoogle Scholar
  43. 43.
    Steinhardt, P.J., et al.: Phys. Rev. D 59, 023504 (1999) MathSciNetADSCrossRefGoogle Scholar
  44. 44.
    Tegmark, M., et al.: Astrophys. J. 606, 702 (2004) ADSCrossRefGoogle Scholar
  45. 45.
    Turner, M.S., White, M.: Phys. Rev. D 56, R4439 (1997) ADSCrossRefGoogle Scholar
  46. 46.
    Usmani, A.A., Ghosh, P.P., Mukhopadhyay, U., Ray, P.C., Ray, S.: Mon. Not. R. Astron. Soc. Lett. 386, L92 (2008) ADSCrossRefGoogle Scholar
  47. 47.
    Weller, J., Albrecht, A.: Phys. Rev. D 65, 103512 (2002) ADSCrossRefGoogle Scholar
  48. 48.
    Yadav, A.K., Saha, B.: Astrophys. Space Sci. (2011). doi: 10.1007/s10509-011-0861-0 Google Scholar
  49. 49.
    Yadav, A.K., Yadav, L.: (2010). arXiv:1007.1411 [gr-qc]

Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  • V. U. M. Rao
    • 1
  • M. Vijaya Santhi
    • 1
  • T. Vinutha
    • 2
  • G. Sree Devi Kumari
    • 1
  1. 1.Department of Applied MathematicsAndhra UniversityVisakhapatnamIndia
  2. 2.Department of MathematicsGITAM UniversityVisakhapatnamIndia

Personalised recommendations