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International Journal of Theoretical Physics

, Volume 49, Issue 1, pp 187–193 | Cite as

FRW Cosmological Models with Bulk-Viscosity in Barber’s Second Self-Creation Theory

  • S. D. Katore
  • R. S. Rane
  • K. S. Wankhade
Article

Abstract

We have studied the evolution of spatially homogeneous and isotropic FRW cosmological model with bulk-viscosity in the frame work of Barber’s (Gen. Relativ. Gravit. 14: 117, 1982) second self-creation theory of gravitation. The cosmological models are obtained with the help of special law of variation for Hubble parameter proposed by Bermann (Nuovo Cimento 74B: 182, 1983). Physical parameters of the models have been discussed in case of false vacuum model, Zel’dovich fluid and radiation dominated fluid.

FRW cosmological model Bulk-viscosity Hubble parameter Barber’s self-creation theory 

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References

  1. 1.
    Barber, G.A.: Gen. Relativ. Gravit. 14, 117 (1982) CrossRefMathSciNetADSGoogle Scholar
  2. 2.
    Bermann, M.S.: Nuovo Cimento B 74, 182 (1983) CrossRefADSGoogle Scholar
  3. 3.
    Brans, C.: Gen. Relativ. Gravit. 19, 949 (1987) CrossRefMathSciNetADSGoogle Scholar
  4. 4.
    Brans, C., Dicke, R.H.: Phys. Rev. 124, 925 (1961) MATHCrossRefMathSciNetADSGoogle Scholar
  5. 5.
    Cho, Y.M.: Phys. Rev. Lett. 68, 3133 (1992) MATHCrossRefMathSciNetADSGoogle Scholar
  6. 6.
    Katore, S.D., Rane, R.S., Kurkure, V.B.: Astrophys. Space Sci. 315, 347 (2008) CrossRefADSGoogle Scholar
  7. 7.
    Mohanty, G., Pattanaik, R.R.: Astrophys. Space Sci. 161, 253 (1989) MATHCrossRefMathSciNetADSGoogle Scholar
  8. 8.
    Mohanty, G., Pradhan, B.D.: Astrophys. Space Sci. 181, 1 (1991) MATHCrossRefMathSciNetADSGoogle Scholar
  9. 9.
    Pimentel, L.O.: Astrophys. Space Sci. 116, 935 (1985) MathSciNetGoogle Scholar
  10. 10.
    Panigrahi, U.K., Sahu, R.C.: Theor. Appl. Mech. 30, 163 (2003) MathSciNetCrossRefGoogle Scholar
  11. 11.
    Pradhan, A., Pandey, H.R.: arXiv:gr-qc/0207027 vl 4 Jul 2002
  12. 12.
    Pradhan, A., Vishwakarma, A.K.: Int. J. Mod. Phys. D 11, 1195 (2002) MATHCrossRefMathSciNetADSGoogle Scholar
  13. 13.
    Pradhan, A., Agrawal, S., Singh, G.P.: Int. J. Theor. Phys. 48, 159 (2009). doi: 10.1007/s10773-008-9791-1 Google Scholar
  14. 14.
    Ram, S., Singh, C.P.: Astrophys. Space Sci. 257, 287 (1998) MATHCrossRefMathSciNetADSGoogle Scholar
  15. 15.
    Reddy, D.R.K.: Astrophys. Space Sci. 133, 389 (1987) MATHCrossRefADSGoogle Scholar
  16. 16.
    Reddy, D.R.K., Avadhanulu, M.B., Venkateswarlu, R.: Astrophys. Space Sci. 134, 201 (1987) CrossRefMathSciNetADSGoogle Scholar
  17. 17.
    Reddy, D.R.K.: Venkateswarlu, R.: Astrophys. Space Sci. 155, 135 (1989) MATHCrossRefMathSciNetADSGoogle Scholar
  18. 18.
    Reddy, D.R.K., Naidu, R.L.: Int. J. Theor. Phys. 48, 10 (2009). doi: 10.1007/s100773-008-9774-2 MATHCrossRefMathSciNetGoogle Scholar
  19. 19.
    Sahu, R.C., Mohanty, G.: Astrophys. Space Sci. 306, 179 (2006) MATHCrossRefADSGoogle Scholar
  20. 20.
    Singh, C.P., Kumar, S.: Astrophys. Space Sci. 310, 31 (2007) CrossRefADSGoogle Scholar
  21. 21.
    Singh, J.P., Tiwari, R.K., Kumar, S.: Astrophys. Space Sci. 314, 145 (2008) CrossRefADSGoogle Scholar
  22. 22.
    Singh, T.: Astrophys. Space Sci. 102, 67 (1984) CrossRefADSGoogle Scholar
  23. 23.
    Soleng, H.H.: Astrophys. Space Sci. 139, 13 (1987) CrossRefMathSciNetADSGoogle Scholar
  24. 24.
    Shanti, K., Rao, V.U.M.: Astrophys. Space Sci. 179, 147 (1991) CrossRefMathSciNetADSGoogle Scholar
  25. 25.
    Venkateswarlu, K., Rao, V.U.M., Kumar, K.P.: Int. J. Theor. Phys. 47, 640 (2008) MATHCrossRefMathSciNetGoogle Scholar
  26. 26.
    Vishwakarma, R.G., Narlikar, J.V.: Int. J. Mod. Phys. D 14, 345 (2005) MATHCrossRefADSGoogle Scholar
  27. 27.
    Zel’dovich, Y.B.: Sov. Phys. JETP 14, 1143 (1962) MATHGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC 2009

Authors and Affiliations

  1. 1.PG Department of MathematicsSGB Amravati UniversityAmravatiIndia
  2. 2.Department of MathematicsY. C. Science and Arts CollegeMangrulpirIndia

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