Advertisement

International Journal of Theoretical Physics

, Volume 48, Issue 2, pp 449–462 | Cite as

Bianchi Type V Cosmological Models with Constant Deceleration Parameter in General Relativity

  • J. P. Singh
  • P. S. Baghel
Article

Abstract

We investigate Bianchi type V cosmological models with bulk viscous fluid source. Exact solutions of the Einstein field equations are presented via a suitable power law assumption for the Hubble parameter. We show that the corresponding solutions retain the well established features of the standard cosmology and in addition, are in accordance with recent type Ia supernovae observations. Some observational parameters for the models have also been discussed.

Keywords

Hubble’s parameter Deceleration parameter Bianchi space-time Cosmological models Anisotropy Bulk viscosity 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Bali, R., Shilpi, J.: Int. J. Mod. Phys. D 16, 1769 (2007) zbMATHCrossRefADSGoogle Scholar
  2. 2.
    Bali, R., Meena, B.L.: Pramana 62, 1007 (2004) CrossRefADSGoogle Scholar
  3. 3.
    Bali, R., Singh, D.K.: Astrophys. Space Sci. 300, 387 (2005) zbMATHCrossRefADSGoogle Scholar
  4. 4.
    Bali, R., Yadav, M.K.: J. Rajasthan Acad. Phys. Sci. 1(1), 47 (2002) zbMATHGoogle Scholar
  5. 5.
    Belinski, V.A., Khalatnikov, I.M.: Sov. Phys. JETP 45, 7 (1977) ADSGoogle Scholar
  6. 6.
    Benerjee, A., Sanyal, A.K.: Gen. Relativ. Gravit. 20, 103 (1988) CrossRefADSGoogle Scholar
  7. 7.
    Berman, M.S., Gomide, F.M.: Gen. Relativ. Gravit. 20, 191 (1988) CrossRefADSMathSciNetGoogle Scholar
  8. 8.
    Berman, M.S.: Nuovo Cim. B 74, 182 (1983) CrossRefADSGoogle Scholar
  9. 9.
    Chimento, L.P.: Phys. Rev. D 69, 123517 (2004) CrossRefADSMathSciNetGoogle Scholar
  10. 10.
    Coley, A.A.: Gen. Relativ. Gravit. 22, 3 (1990) zbMATHCrossRefADSMathSciNetGoogle Scholar
  11. 11.
    Collins, C.B.: Commun. Math. Phys. 39, 131 (1974) zbMATHCrossRefGoogle Scholar
  12. 12.
    Farnsworth, D.L.: J. Math. Phys. 8, 2315 (1967) zbMATHCrossRefADSGoogle Scholar
  13. 13.
    Guth, A.: Phys. Rev. D 23, 347 (1981) CrossRefADSGoogle Scholar
  14. 14.
    Hawking, S.W., Ellis, G.F.R.: The Large Scale Structure of Space-Time, p. 88. Cambridge Univ. Press, Cambridge (1975) Google Scholar
  15. 15.
    Hu, B.L., Parker, L.: Phys. Rev. D 17, 933 (1978) CrossRefADSGoogle Scholar
  16. 16.
    Hu, B.L., Parker, L.: Phys. Rev. 17, 3292(E) (1978) ADSGoogle Scholar
  17. 17.
    John, M.V.: Astrophys. J. 614, 1 (2004) CrossRefADSGoogle Scholar
  18. 18.
    Johri, V.B., Desikan, K.: Gen. Relativ. Gravit. 26, 1217 (1994) CrossRefADSMathSciNetGoogle Scholar
  19. 19.
    Johri, V.B., Sudarshan, R.: Phys. Lett. A 132, 316 (1988) CrossRefADSMathSciNetGoogle Scholar
  20. 20.
    Knop, R.A., et al.: Astrophys. J. 598, 102 (2003) CrossRefADSGoogle Scholar
  21. 21.
    Kumar, S., Singh, C.P.: Astrophys. Space Sci. 312, 57 (2007) zbMATHCrossRefADSGoogle Scholar
  22. 22.
    Land, K., Magueijo, J.: Phys. Rev. Lett. 95, 071301 (2005) CrossRefADSGoogle Scholar
  23. 23.
    Langacker, P.: Phys. Rep. 72, 185 (1981) CrossRefADSGoogle Scholar
  24. 24.
    Landsberg, P.T., Evans, D.A.: Mathematical Cosmology, p. 37. Clarendon, Oxford (1977) Google Scholar
  25. 25.
    Landsberg, P.T., Evans, D.A.: Mathematical Cosmology, p. 101. Clarendon, Oxford (1977) Google Scholar
  26. 26.
    Lorenz, D.: Gen. Relativ. Gravit. 13, 795 (1981) CrossRefMathSciNetGoogle Scholar
  27. 27.
    Maartens, R., Nel, S.D.: Commun. Math. Phys. 59, 273 (1978) zbMATHCrossRefADSMathSciNetGoogle Scholar
  28. 28.
    Maartens, R.: Class. Quantum Gravity 12, 1455 (1995) zbMATHCrossRefADSMathSciNetGoogle Scholar
  29. 29.
    Maharaj, S.D., Naidoo, R.: Astrophys. Space Sci. 208, 261 (1993) zbMATHCrossRefADSGoogle Scholar
  30. 30.
    Misner, C.W.: Astrophys. J. 151, 431 (1968) CrossRefADSGoogle Scholar
  31. 31.
    Misner, C.W.: Nature 214, 40 (1967) CrossRefADSGoogle Scholar
  32. 32.
    Murphy, G.L.: Phys. Rev. D 8, 4231 (1973) CrossRefADSGoogle Scholar
  33. 33.
    Narlikar, J.V.: Introduction to Cosmology, pp. 241–244. Cambridge Univ. Press, Cambridge (1993) zbMATHGoogle Scholar
  34. 34.
    Nayak, B.K., Sahoo, B.K.: Gen. Relativ. Gravit. 21, 211 (1989) zbMATHCrossRefADSMathSciNetGoogle Scholar
  35. 35.
    Pacher, T., Stein-Schabas, J.A., Turner, M.S.: Phys. Rev. D 36, 1603 (1987) CrossRefADSGoogle Scholar
  36. 36.
    Padmanabhan, T., Chitre, S.M.: Phys. Lett. A 120, 433 (1987) CrossRefADSGoogle Scholar
  37. 37.
    Perlmutter, S., et al.: Astrophys. J. 517, 565 (1999) CrossRefGoogle Scholar
  38. 38.
    Pradhan, A., Aotemshi, I.: Int. J. Mod. Phys. D 11, 1419 (2002) zbMATHCrossRefADSMathSciNetGoogle Scholar
  39. 39.
    Pradhan, A., Vishwakarma, A.K.: Ind. J. Pure Appl. Math. 33, 1239 (2002) zbMATHMathSciNetGoogle Scholar
  40. 40.
    Pradhan, A., Yadav, V.K.: Int. J. Mod. Phys. D 11, 893 (2002) zbMATHCrossRefADSMathSciNetGoogle Scholar
  41. 41.
    Rahman, F., Begum, N., Bag, G., Bhui, B.: Astrophys. Space Sci. 29, 211 (2005) CrossRefADSGoogle Scholar
  42. 42.
    Ram, S.: Int. J. Theor. Phys. 29, 901 (1990) zbMATHCrossRefMathSciNetGoogle Scholar
  43. 43.
    Reddy, D.R.K., Naidoo, R.L., Adhav, K.S.: Astrophys. Space Sci. 307, 365 (2007) CrossRefADSGoogle Scholar
  44. 44.
    Reddy, D.R.K., Subba Rao, M.V., Koteswara Rao, G.: Astrophys. Space Sci. 306, 171 (2006) CrossRefADSGoogle Scholar
  45. 45.
    Riess, A.G., et al.: Astron. J. 116, 1009 (1998) CrossRefADSGoogle Scholar
  46. 46.
    Riess, A.G., et al.: Astron. J. 607, 665 (2004) Google Scholar
  47. 47.
    Roy, S.R., Prasad, A.: Gen. Relativ. Gravit. 26, 10 (1994) CrossRefMathSciNetGoogle Scholar
  48. 48.
    Roy, S.R., Singh, J.P.: Astrophys. Space Sci. 96, 303 (1983) zbMATHCrossRefADSMathSciNetGoogle Scholar
  49. 49.
    Roy, S.R., Singh, J.P.: Aust. J. Phys. 38, 763 (1985) MathSciNetGoogle Scholar
  50. 50.
    Saha, B.: Astrophys. Space Sci. 302, 83 (2006) zbMATHCrossRefADSGoogle Scholar
  51. 51.
    Santos, N.O., Dias, R.S., Benerjee, A.: J. Math. Phys. 26, 876 (1985) CrossRefADSGoogle Scholar
  52. 52.
    Singh, C.P., Kumar, S.: Int. J. Mod. Phys. D 15, 419 (2006) zbMATHCrossRefADSMathSciNetGoogle Scholar
  53. 53.
    Singh, G.P., Desikan, K.: Pramana 49, 205 (1997) CrossRefADSGoogle Scholar
  54. 54.
    Singh, J.K.: Astrophys. Space Sci. 281, 585 (2002) zbMATHCrossRefADSMathSciNetGoogle Scholar
  55. 55.
    Singh, J.K.: Astrophys. Space Sci. 310, 241 (2007) zbMATHCrossRefADSGoogle Scholar
  56. 56.
    Singh, T., Agrawal, A.K.: Int. J. Theor. Phys. 32, 1041 (1993) CrossRefMathSciNetGoogle Scholar
  57. 57.
    Singh, T., Chaubey, R.: Pramana 67, 415 (2006) CrossRefADSGoogle Scholar
  58. 58.
    Singh, T., Chaubey, R.: Pramana 68, 721 (2007) CrossRefADSGoogle Scholar
  59. 59.
    Tonry, J.L., et al.: Astrophys. J. 594, 1 (2003) CrossRefADSGoogle Scholar
  60. 60.
    Waga, L., Falcan, R.C., Chanda, R.: Phys. Rev. D 33, 1839 (1986) CrossRefADSGoogle Scholar
  61. 61.
    Weinberg, S.: Astrophys. J. 168, 175 (1972) CrossRefADSGoogle Scholar
  62. 62.
    Weinberg, S.: Gravitation and Cosmology. Wiley, New York (1972) Google Scholar
  63. 63.
    Wainwright, J., Ince, W.C.W., Marshman, B.J.: Gen. Relativ. Gravit. 10, 259 (1979) zbMATHCrossRefADSMathSciNetGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC 2008

Authors and Affiliations

  1. 1.Department of Mathematical SciencesA. P. S. UniversityRewaIndia

Personalised recommendations