Bianchi Type VI Cosmological Model with Dynamical Cosmological Parameters G and ⩘ in the presence of Bulk Viscous stress

Authors

  • Shilpa Samdurkar  Department of Mathematics, Vidya Vikas Arts, Commerce and Science College, Samudrapur, India
  • Seema Bawnerkar  Department of Applied Mathematics, Shah & Anchor Kutchhi Engineering College, Mumbai, India

DOI:

https://doi.org//10.32628/IJSRSET196149

Keywords:

Bianchi Type VI, Bulk Viscous Stress, Gravitational and Cosmological Parameters

Abstract

In the present study, we have obtained Bianchi type VI anisotropic model of the universe filled with a bulk viscous stress in the presence of variable gravitational and cosmological constants. Here we have assumed the cosmological term in the form Λ∝H to discuss the effect of cosmological variables. It is found that the bulk viscosity coefficient (ξ) is a decreasing function of time. The expression for proper distance, luminosity distance, angular diameter distance, look back time and distance modulus curve have been analyzed and also the distance modulus curve of derived model nearly matches with Supernova Ia (SN Ia) observations.

References

  1. Dirac P. A. M. 1937. Nature 139, 323.
  2. Beesham A. 1986. International Journal of Theoritical Physics 25, 1295.
  3. Sahni V. and Starobinsky A. 2000. International Journal of Modern Physics D 9, 373.
  4. Vishwakarma R. G. 2000. Classical and Quantum Gravity 17, 3833.
  5. Vishwakarma R. G. 2001. Classical and Quantum Gravity 18, 1159.
  6. Vishwakarma R. G. 2001. General Relativity and Gravitation 33, 1973.
  7. Vishwakarma R. G. 2002. Classical and Quantum Gravity 19, 4747.
  8. Peebles P. J. E. and Ratra B. 2003. Reviews of Modern Physics 75, 559.
  9. Singh G. P. and Kotambkar S. 2001. General Relativity and Gravitation 33, 621.
  10. Padmanabhan T. and Hamsa P. 2013. International Journal of Modern Physics D 22, Article ID: 1342001.
  11. Freese K. and Kinny W. H. 2003. Physics Letters B 558, 1.
  12. Carneiro S., Pigozzo C., Borges H. A. and J. S. Alcaniz, Physical Review D 74, Article ID:023532(2006).
  13. Samdurkar S. and Sen S. 2012. Proceeding of IJCA 4, 1.
  14. Dwivedi U. 2012. International Journal of Physics and Mathematical Sciences 2, 17.
  15. Patel L. K. and Kopper S. 1991. Journal of Australian Mathematical Society 33, 77.
  16. Dunn K. A. and Tupper B. O. J. 1976. The Astrophysical Journal 204, 322.
  17. Arbab A. I. 1997. General Relativity and Gravitation 29, 61.
  18. Pradhan A., Yadav P. and Jotania K. 2009. arXiv: 0907.485[gr-qc].
  19. Verma M. K. and Ram S. 2011. Applied Mathematics 2, 348.
  20. Beesham A., 1994. General Relativity and Gravitation 26, 159.
  21. Abdel-Rehman A. M. M. 1990. General Relativity and Gravitation 22,665.
  22. Berman M. S. 1991. Physical Review D 43, 1075.
  23. Kalligas D., Wesson P. and Everitt C. W. F. 1995. General Relativity and Gravitation 27, 645.
  24. Saha B. 2001. Modern Physics Letters A, 16, 1287.
  25. Singh G. P. and Kotambkar S. 2003. Gravitation and Cosmology 9, 206.
  26. Singh J. P., Pradhan A. and Singh A. K. 2008. Astrophysics Space Science 314, 83.
  27. Vishwakarma R. G. 2005. General Relativity and Gravitation 37, 1305.
  28. Singh C. P. and Kumar S. 2009. International Journal of Theoretical Physics 48, 2401.
  29. Verma L. and Ram S. 2011. Applied Mathematics 2, 348.
  30. Kandalkar S. and Samdurkar S. 2015. Bulgarian Journal of Physics 42, 42.
  31. Eckart C. 1940. Physical Review D 58, 919.
  32. Maarten R. 1955. Classical and Quantum Gravity 12, 1455.
  33. Zimdahl. 1996. Physical Review D 53, 5483.
  34. Riess A. G., Filippenko A. V., Challis P. et al. 1998. The Astronomical Journal 116, 1009.
  35. Perlmutter S., Gabi S., Goldhaber G., Goobar A. et al. 1997., The Astronomical Journal 483,565.
  36. Arbab I. A. 1997. General Relativity and Gravitation 29, 61.

International Journal of Scientific Research in Science, Engineering and Technology

Downloads

Published

2019-02-28

Issue

Volume 6, Issue 1, January-February-2019

Section

Research Articles

License

Copyright (c) IJSRSET

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

[1]
Shilpa Samdurkar, Seema Bawnerkar, " Bianchi Type VI Cosmological Model with Dynamical Cosmological Parameters G and ⩘ in the presence of Bulk Viscous stress, International Journal of Scientific Research in Science, Engineering and Technology(IJSRSET), Print ISSN : 2395-1990, Online ISSN : 2394-4099, Volume 6, Issue 1, pp.246-254, January-February-2019. Available at doi : https://doi.org/10.32628/IJSRSET196149