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International Journal of Theoretical Physics

, Volume 52, Issue 10, pp 3737–3748 | Cite as

Spatially Homogeneous Bianchi Type-I Universes with Variable G and Λ

  • J. K. Singh
  • Sarita Rani
Article

Abstract

In this paper, we have studied the cosmological models of Bianchi type-I universes in a different basic form filled with bulk viscous fluid, in the presence of time-dependent gravitational as well as cosmological constants. A set of new exact cosmological solutions have been obtained in both full and truncated causal theories. These solutions are suitable for describing the evolution of the universe in its early stages. The physical and dynamical consequences have been discussed in detail.

Keywords

Bianchi type space-time Bulk viscosity Gravitational constant Cosmological constant 

References

  1. 1.
    Agoner, R.V.: Phys. Rev. D 1, 3209 (1970) ADSCrossRefGoogle Scholar
  2. 2.
    Arbab, A.I.: astro-ph/9810239
  3. 3.
    Arbab, A.I.: Gen. Relativ. Gravit. 29, 61 (1997) MathSciNetADSCrossRefzbMATHGoogle Scholar
  4. 4.
    Bali, R., Dave, S.: Astrophys. Space Sci. 288, 503 (2003) ADSCrossRefzbMATHGoogle Scholar
  5. 5.
    Banerjee, A., Santosh, N.O.: Gen. Relativ. Gravit. 16, 217 (1984) ADSCrossRefGoogle Scholar
  6. 6.
    Beesham, A.: Gen. Relativ. Gravit. 26, 159 (1994) MathSciNetADSCrossRefzbMATHGoogle Scholar
  7. 7.
    Beesham, A., Ghosh, S.G., Lombard, R.G.: Gen. Relativ. Gravit. 32, 471 (2000) MathSciNetADSCrossRefzbMATHGoogle Scholar
  8. 8.
    Bennett, C.L., et al.: Astrophys. J. 583, 1 (2003) ADSCrossRefGoogle Scholar
  9. 9.
    Benvenuto, O.G., Garcia-Berro, E., Isern, J.: Phys. Rev. D 69, 082002 (2004) ADSCrossRefGoogle Scholar
  10. 10.
    Bergmann, P.G.: Int. J. Theor. Phys. 1, 25 (1968) CrossRefGoogle Scholar
  11. 11.
    Brans, C., Dicke, R.H.: Phys. Rev. 124, 925 (1961) MathSciNetADSCrossRefzbMATHGoogle Scholar
  12. 12.
    Calistete, J.R., Fabris, J.C., Tossa, J., Zimdhal, W.: Phys. Rev. D 76, 103516 (2007) MathSciNetADSCrossRefGoogle Scholar
  13. 13.
    Carminati, J., McIntosh, C.B.G.: J. Phys. A, Math. Gen. 13, 953 (1980) MathSciNetADSCrossRefGoogle Scholar
  14. 14.
    Chakraborty, S., Roy, A.: Astrophys. Space Sci. 313, 389 (2008) ADSCrossRefzbMATHGoogle Scholar
  15. 15.
    Dirac, P.A.M.: Proc. R. Soc. A 165, 119 (1938) CrossRefGoogle Scholar
  16. 16.
    Dirac, P.A.M.: Proc. R. Soc. A 333, 403 (1973) MathSciNetADSCrossRefGoogle Scholar
  17. 17.
    Dirac, P.A.M.: The General Theory of Relativity. Wiley, New York (1975) Google Scholar
  18. 18.
    Dirac, P.A.M.: Proc. R. Soc. A 365, 19 (1979) MathSciNetADSCrossRefGoogle Scholar
  19. 19.
    Eckart, C.: Phys. Rev. 58, 919 (1940) ADSCrossRefGoogle Scholar
  20. 20.
    Grøn, Ø.: Astrophys. Space Sci. 173, 191 (1990) MathSciNetADSCrossRefGoogle Scholar
  21. 21.
    Helings, R.W., et al.: Phys. Rev. Lett. 51, 1609 (1983) ADSCrossRefGoogle Scholar
  22. 22.
    Hinshaw, G., et al.: Astrophys. J. Suppl. Ser. 170, 288 (2007) ADSCrossRefGoogle Scholar
  23. 23.
    Hinshaw, G., et al.: 0803.0732 (2008)
  24. 24.
    Hiscock, W.A., Lindblon, L.: Phys. Rev. D 35, 3723 (1987) MathSciNetADSCrossRefGoogle Scholar
  25. 25.
    Hoyle, F., Narlikar, J.V.: Proc. R. Soc. A 282, 191 (1964) MathSciNetADSCrossRefzbMATHGoogle Scholar
  26. 26.
    Hoyle, F., Narlikar, J.V.: Nature 233, 41 (1971) ADSCrossRefGoogle Scholar
  27. 27.
    Israel, W., Stewart, J.M.: Phys. Lett. A 58, 213 (1976) ADSCrossRefGoogle Scholar
  28. 28.
    Jamil, M., Debnath, U.: Int. J. Theor. Phys. 50, 1602 (2011) MathSciNetCrossRefzbMATHGoogle Scholar
  29. 29.
    Kalligas, D., Wesson, P., Everitt, C.W.F.: Gen. Relativ. Gravit. 24, 351 (1992) MathSciNetADSCrossRefGoogle Scholar
  30. 30.
    Kilinc, C.B.: Astrophys. Space Sci. 289, 103 (2004) ADSCrossRefzbMATHGoogle Scholar
  31. 31.
    Maartens, R.: Class. Quantum Gravity 12, 455 (1995) CrossRefGoogle Scholar
  32. 32.
    Mak, M.K., Harko, T.: Int. J. Mod. Phys. D 11, 447 (2002) MathSciNetADSCrossRefzbMATHGoogle Scholar
  33. 33.
    Muller, I.: Z. Phys. 198, 329 (1967) ADSCrossRefGoogle Scholar
  34. 34.
    Peebles, P.J.E., Ratra, B.: Astrophys. J. 325, L17 (1988) ADSCrossRefGoogle Scholar
  35. 35.
    Perlmutter, S., et al.: Nature 391, 51 (1998) ADSCrossRefGoogle Scholar
  36. 36.
    Perlmutter, S., et al.: Astrophys. J. 517, 565 (1999) ADSCrossRefGoogle Scholar
  37. 37.
    Riess, A.G., et al.: Astron. J. 116, 1009 (1998) ADSCrossRefGoogle Scholar
  38. 38.
    Riess, A.G., et al.: Astron. J. 560, 49 (2001) CrossRefGoogle Scholar
  39. 39.
    Riess, A.G., et al.: Astron. J. 607, 665 (2004) CrossRefGoogle Scholar
  40. 40.
    Saha, B.: Int. J. Theor. Phys. 45, 952 (2005) CrossRefGoogle Scholar
  41. 41.
    Sahni, V., et al.: JETP Lett. 77, 201 (2003) ADSCrossRefGoogle Scholar
  42. 42.
    Shri Ram, Singh, J.K.: Gen. Relativ. Gravit. 27, 1207 (1995) ADSCrossRefzbMATHGoogle Scholar
  43. 43.
    Singh, C.P., Kumar, S., Pradhan, A.: Class. Quantum Gravity 24, 455 (2007) MathSciNetADSCrossRefzbMATHGoogle Scholar
  44. 44.
    Singh, C.P., Kumar, S.: Int. J. Theor. Phys. 48, 2401 (2009) MathSciNetCrossRefzbMATHGoogle Scholar
  45. 45.
    Singh, G.P., Beesham, A.: Aust. J. Phys. 52, 1039 (1999) ADSCrossRefzbMATHGoogle Scholar
  46. 46.
    Singh, G.P., Kotambkar, S.: Gravit. Cosmol. 9, 206 (2003) MathSciNetADSzbMATHGoogle Scholar
  47. 47.
    Singh, J.K., Shri Ram: Astrophys. Space Sci. 236, 277 (1996) ADSCrossRefzbMATHGoogle Scholar
  48. 48.
    Singh, J.K.: IL Nuovo Cimento B 119(5), 445 (2004) ADSGoogle Scholar
  49. 49.
    Singh, J.P., Pradhan, A., Singh, A.K.: Astrophys. Space Sci. (2008). doi: 10.1007/s10509-008-9742-6 Google Scholar
  50. 50.
    Singh, J.P., Tiwari, R.K.: Pramana J. Phys. 70, 565 (2008) ADSCrossRefGoogle Scholar
  51. 51.
    Spergel, D.N., et al.: Astrophys. J. Suppl. Ser. 170, 377 (2007) ADSCrossRefGoogle Scholar
  52. 52.
    Tripathy, S.K., Behera, D., Routray, T.R.: Astrophys. Space Sci. 340, 211 (2012) ADSCrossRefGoogle Scholar
  53. 53.
    Verma, M.K., Shri Ram: Astrophys. Space Sci. 326, 299 (2010) ADSCrossRefzbMATHGoogle Scholar
  54. 54.
    Vishwakarma, R.G., Abdussattar, Beesham, A.: Phys. Rev. D 60, 063507 (1999) MathSciNetADSCrossRefGoogle Scholar
  55. 55.
    Yadav, M.K., Roy, A., Pradhan, A.: Int. J. Theor. Phys. 46, 2677 (2007) CrossRefzbMATHGoogle Scholar
  56. 56.
    Zeldovich, Y.B.: Sov. Phys. JETP 14, 1143 (1968) Google Scholar
  57. 57.
    Zeldovich, Y.B.: Usp. Fiz. Nauk 11, 384 (1968) Google Scholar

Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.School of Applied Sciences, Netaji Subhash Institute of TechnologyUniversity of DelhiNew DelhiIndia

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