Skip to main content
Log in

Bianchi-I Universe with Decaying Vacuum Energy Density and Time Varying Gravitational Constant

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

Abstract

Anisotropic Locally Rotationally Symmetric Bianchi-I (LRSBI) cosmological model is investigated with variable gravitational and cosmological constants in the framework of Einstein’s general relativity. The shear scalar is considered to be proportional to the expansion scalar. The dynamics of the anisotropic universe with variable G and Λ are discussed. Our calculations for the Supernova constraints concerning the luminosity distance provide reasonable results.

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. Eriksen, H.K., et al.: Astrophys. J. Suppl. Ser. 180, 225 (2009). arXiv:0803.0732 [astro-ph]

    Article  Google Scholar 

  2. Campanelli, L., Cea, P., Fogli, G.L., Marrone, A.: arXiv:1210.5596v2 [astro-ph.CO] (2011)

  3. Dirac, P.A.M.: Nature 139, 323 (1937)

    Article  ADS  MATH  Google Scholar 

  4. Dirac, P.A.M.: Proc. R. Soc. Lond. Ser. A, Math. Phys. Sci. 165, 199 (1938)

    Article  ADS  Google Scholar 

  5. Helings, R.W., et al.: Phys. Rev. Lett. 51, 1609 (1983)

    Article  ADS  Google Scholar 

  6. Benvenuto, O.G., Garcia-Berro, E., Isern, J.: Phys. Rev. D 69, 082002 (2004)

    Article  ADS  Google Scholar 

  7. Reiss, A.G., et al.: Astron. J. 116, 1009 (1998)

    Article  ADS  Google Scholar 

  8. Reiss, A.G., et al.: Astrophys. J. 607, 665 (2004)

    Article  ADS  Google Scholar 

  9. Perlmutter, S., et al.: Nature 391, 51 (1998)

    Article  ADS  Google Scholar 

  10. Perlmutter, S., et al.: Astrophys. J. 517, 565 (1999)

    Article  ADS  Google Scholar 

  11. Weinberg, S.: Rev. Mod. Phys. 61, 1 (1989)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  12. Peebles, P.J.E., Ratra, B.: Rev. Mod. Phys. 75, 559 (2003). arXiv:astro-ph/0207347

    Article  MathSciNet  ADS  MATH  Google Scholar 

  13. Padmanavan, T.: Phys. Rep. 380, 235 (2003). arXiv:hep-th/0212290

    Article  MathSciNet  ADS  Google Scholar 

  14. Carroll, S.: Living Rev. Relativ. 4, 1 (2001). [online article], http://www.livingreviews.org/lrr-2001-1

    ADS  Google Scholar 

  15. Bertolami, O.: Lett. Nuovo Cimento 93B, 36 (1986)

    Article  ADS  Google Scholar 

  16. Bertolami, O.: Fortschr. Phys. 34, 829 (1986)

    Google Scholar 

  17. Peebles, P.J.E., Ratra, B.: Astrophys. J. 325L, 17 (1988)

    Article  ADS  Google Scholar 

  18. Ozer, M., Taha, O.: Nucl. Phys. B 287, 776 (1987)

    Article  ADS  Google Scholar 

  19. Behera, D., Tripathy, S.K., Routray, T.R.: Int. J. Theor. Phys. 49, 2569 (2010)

    Article  MATH  Google Scholar 

  20. Tripathy, S.K., Behera, D., Routray, T.R.: Astrophys. Space Sci. 340, 211 (2012)

    Article  ADS  Google Scholar 

  21. Arbab, A.I.: Class. Quantum Gravity 29, 61 (1997)

    MathSciNet  MATH  Google Scholar 

  22. Arbab, A.I.: Chin. J. Astron. Astrophys. 3, 113 (2003)

    Article  ADS  Google Scholar 

  23. Arbab, A.I.: Class. Quantum Gravity 20, 93 (2003)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  24. Singh, C.P., Kumar, S., Pradhan, A.: Class. Quantum Gravity 24, 455 (2007)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  25. Tiwari, R.K.: Astrophys. Space Sci. 321, 147 (2009)

    Article  ADS  Google Scholar 

  26. Mukhopadhyay, U., Ghosh, P.P., Ray, S.: arXiv:1001.0475v1 (2010)

  27. Ram, S., Verma, M.K.: Astrophys. Space Sci. 330, 151 (2010)

    Article  ADS  MATH  Google Scholar 

  28. Singh, C.P.: Astrophys. Space Sci. 331, 337 (2011)

    Article  ADS  Google Scholar 

  29. Yadav, A.K., Pradhan, A., Singh, A.K.: Astrophys. Space Sci. 337, 379 (2012)

    Article  ADS  MATH  Google Scholar 

  30. Sharif, M., Khanum, F.: arXiv:1104.2366 [physics.gen-ph] (2011)

  31. Pradhan, A., Singh, A.K., Otarod, S.: Rom. J. Phys. 52, 445 (2007)

    Google Scholar 

  32. Pradhan, A., Jaiswal, R., Khare, R.K.: Astrophys. Space Sci. 343, 489 (2013)

    Article  ADS  Google Scholar 

  33. Pradhan, A., Chakrabarty, I.: Gravit. Cosmol. 7, 55 (2001)

    MathSciNet  MATH  Google Scholar 

  34. Pradhan, A., Singh, S.: Int. J. Mod. Phys. D 13, 487 (2004)

    Article  MathSciNet  Google Scholar 

  35. Singh, J.P., Pradhan, A., Singh, A.K.: Astrophys. Space Sci. 314, 83 (2008)

    Article  ADS  Google Scholar 

  36. Tripathy, S.K., Nayak, S.K., Sahu, S.K., Routray, T.R.: Astrophys. Space Sci. 323, 281 (2009)

    Article  ADS  Google Scholar 

  37. Tripathy, S.K., Behera, D., Routray, T.R.: Astrophys. Space Sci. 325, 93 (2010)

    Article  ADS  Google Scholar 

  38. Kalligas, D., Wesson, P.S., Everitt, C.W.F.: Gen. Relativ. Gravit. 24, 351 (1992)

    Article  MathSciNet  ADS  Google Scholar 

  39. Kalligas, D., Wesson, P.S., Everitt, C.W.F.: Gen. Relativ. Gravit. 27, 645 (1995)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  40. Singh, C.P.: Nuovo Cimento B 122, 89 (2007)

    ADS  Google Scholar 

  41. Knop, R., et al.: Astrophys. J. 598, 102 (2003)

    Article  ADS  Google Scholar 

  42. Tegmark, M., et al.: Astrophys. J. 606, 70 (2004)

    Article  Google Scholar 

  43. Usmani, A.A., et al.: Mon. Not. R. Astron. Soc. Lett. 386, L92 (2008)

    Article  ADS  Google Scholar 

  44. Setare, M.R., Zhang, J., Zhang, X.: J. Cosmol. Astropart. Phys. 03, 007 (2007)

    Article  ADS  Google Scholar 

  45. Menezes, R.S. Jr., Pigozzo, C., Carneiro, S.: arXiv:1210.2909v1 [astro-ph.CO] (2012)

  46. Koivisto, T., Mota, D.F.: Astrophys. J. 679, 1 (2008)

    Article  ADS  Google Scholar 

  47. Koivisto, T., Mota, D.F.: J. Cosmol. Astropart. Phys. 0806, 018 (2008)

    Article  MathSciNet  ADS  Google Scholar 

Download references

Acknowledgements

The author is grateful to the anonymous referees for their useful suggestions to improve the paper.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Sunil Kumar Tripathy.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tripathy, S.K. Bianchi-I Universe with Decaying Vacuum Energy Density and Time Varying Gravitational Constant. Int J Theor Phys 52, 4218–4228 (2013). https://doi.org/10.1007/s10773-013-1734-9

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-013-1734-9

Keywords

Navigation