The Effect of Bulk Viscosity on Bianchi Type V Cosmological Models with Varying in General Relativity
Shilpa Samdurkar S (pahade) and Shoma S Sen. Article: The Effect of Bulk Viscosity on Bianchi Type V Cosmological Models with Varying in General Relativity. IJCA Proceedings on International Conference on Benchmarks in Engineering Science and Technology 2012 ICBEST(4):1-6, October 2012. Full text available. BibTeX
@article{key:article, author = {Shilpa S. Samdurkar (pahade) and Shoma S. Sen}, title = {Article: The Effect of Bulk Viscosity on Bianchi Type V Cosmological Models with Varying in General Relativity}, journal = {IJCA Proceedings on International Conference on Benchmarks in Engineering Science and Technology 2012}, year = {2012}, volume = {ICBEST}, number = {4}, pages = {1-6}, month = {October}, note = {Full text available} }
Abstract
In this paper, we discuss Bianchi type V cosmological model filled with viscous fluid in the presence of cosmological term ?. The viscous coefficient of bulk viscous fluid is assumed to be a power function of mass density, whereas coefficient of shear viscosity is considered proportional to scale of expansion in the model. Exact solutions of the field equations are obtained by using scalar of expansion proportional to shear scalar which leads to a relation between metric potential where r is constant. Some physical and geometrical properties of the model are also discussed.
References
- M. A. H. Mac Callum, " An Einstein Centenary Survey', ed. by S. W. Hawking and W. Israel (Cambridge University Press, Cambridge. 1979).
- W. Israel, J. N. Vardalas, Lett. Nouovo Cin. , 4, (1970), 887.
- Z. Klimek, Post. Astro. , 19, (1971), 165.
- S. Weinberg, Astrophys. J. , 168, (1975), 175.
- L. Landau, E. M. Lifchitz, Fluid Mechanics, Addison-Wisley, (Mass. 1962), p. 304.
- P. M. Garnavich et al, Astrophysics J. , 493, L53 (1998a), [Hi-z Supernova Team Collaboration (astro-ph/9710123)],
- P. M. Garnavich et al, Astrophysics J. , 509, (1998b), 74: [Hi-z Supernova Team Collaboration (astro- ph/98606396)].
- S. Perlmutter, et al. : Astrophysics J. , 483, (1997), 565 [Supernova Cosmology Project Collaboration (astroph/9608192)].
- S. Perlmutter, et al. : Astrophysics J. , 483, (1998), 565 [Supernova Cosmology Project Collaboration (astroph/9712212)].
- S. Perlmutter, et al. : Astrophysics J. , 483, (1999), 565 [Supernova Cosmology Project Collaboration].
- A. G. Riess, et al. : Astrophysics J. , 116, (1998), 1009.
- B. P. Schmidt, et al. : Astrophysics J. , 507, (1998), 46.
- W. Misner, Nature, 214, (1967), 40.
- W. Misner, Astrophysics J. , 151, (1968), 431.
- S. Weinberg, Astrophysics J. , 168, (1972), 175.
- S. Weinberg, Gravitation and Cosmology, Wiley, New York (1972).
- L. Waga, R. C. Falcan and R. Chanda, Phys. Rev. , D33, (1986), 1839.
- T. Pacher, J. A. Stein-Schabas. and M. S. Turner, Phys. Rev. , D36, (1987), 1603.
- A. Guth, Phys. Rev. , D23, (1981), 347.
- G. L. Murphy, Phys. Rev. , D8, (1973), 4231.
- P. Langackar, Phys. Rep. , 72, (1981), 185.
- N. O. Santos, R. S. Dias and A. Banerjee, J. Math Phys. , 26, (1985), 878.
- T. Padmanabhan and S. M. Chitre, Phys. Lett. A, 120, (1987), 433.
- V. B. Johri and R. Sudarshan, Phys. Lett. A, 132, (1988), 316.
- R. Maartens, Class Quantum Grav. , 12, (1995), 1455.
- W. Zimdahl, Phys. Rev. , D53, (1996), 5483.
- A. Pradhan, R. V. Sarayakar and A. Beesham, Astr. Lett. Commun. , 35, (1997), 283.
- D. Kalyani and G. P. Singh, Hadronic Press, U. S. A. , (1997), p41.
- T. Singh, A. Beesham and W. S. Mbokazi, Gen. Rel. Grav. , 30, (1998), 537.
- A. Pradhan, V. K. Yadav and I. Chakraborty, Int. J. Mod. Phys. , D10, (2001), 339.
- A. Pradhan, V. K. Yadav and N. N. Saste, Int. J. Mod. Phys. , D11, (2002), 857.
- V. A. Belinski and I. M. Khalatanikov, Sov. J. JETP, 69, (1975), 401.
- W. Haung, J. Math Phys. , 31, (1990), 1456.
- K. Desikan, Gen. Rel. Grav. , 29, (1997), 435.
- S. Ray, S. Bhadra and G. Mohanti, Astrophys. Space Sci. , 315, (2008), 341.
- J. P. Singh, A. Pradhan and A. K. Singh, Astrophys. Space Sci. , 314, (2008), 83.
- N. Chakravarty and L. Biswas, Astrophys. Space Sci. , 312, (2007), 13.
- J. A. Belinchon, Astrophys. Space Sci. , 302, (2006), 161.
- J. D. Barrow, Phys. Lett. B, 180, (1986), 335.
- W. Zimdahl, Phys. Rev. D, 53, (1996), 5483.
- D. Pavon, J. Bafaluy, D. Jou, Class. Quantum. Gravity, 8, (1991), 347.
- R. Maartens, Class. Quantum. Gravity,12, (1995), 1455.
- J. A. S. Lima, A. S. M. Germano, L. R. W. Abramo, Phys. Rev. D, 53, (1993), 4287.
- S. K. Tripathy, S. K. Nayak, S. K. Sahu, T. R. Routray, Astrophys. Space Sci. , 323, (2009), 281.
- S. K. Tripathy, D. Behera, T. R. Routray, Astrophys. Space Sci. , 325, (2010), 93.
- O. Gron, Astrophys. Space Sci. , 173, (1990), 213.
- D. Pavon, J. Jou, D. Bafaluy, Class. Quant. Grav. , 8, (1991), 357.
- T. Padmanabhan and S. M. Chitre, Phys. Lett. A. , 120, (1987), 433.
- V. B. Johri, R. Sudaarshan, Phys. Lett. A. ,132, (1988), 316.
- R. Maartens, Class. Quant. Grav. , 12, (1995), 1455.
- W. Zimdahl, Phys. Rev. D. , 53, (1996), 5483.
- N. O. Santos, R. S. Dias, A. Banerjee, J. Math. Phys. , 26, (1985), 878.
- A. Pradhan, R. V. Sarayakar, A. Beesham, Astr. Lett. Commun. , 35, (1997), 283.
- D. Kalyani, G. P. Singh, In new direction in Relativity and Cosmology, eds. V. de. Sabbata and T. Singh, (Hadronic Press, U. S. A. 1997), p. 41.
- T. Singh, A. Beesham, W. S. Mbokazi, Gen. Rel. Grav. , 30, (1998), 537.
- A. Pradhan, V. K. Yadav, I. Chakraborty, Int. J. Mod. Phys. D. , 10, (2001), 339.
- A. Pradhan, V. K. Yadav, N. N. Saste, Int. J. Mod. Phys. D. , 11, (2002a), 857.
- A. Pradhan, Iaotemshi, Int. J. Mod. Phys. D. , 11, (2002b), 1419.
- A. Banerjee, A. K. Sanyal, Gen. Rel. Grav. , 20, (1988), 103.
- A. A. Coley, Gen. Rel. Grav. , 22, (1990), 3.
- S. P. Kandalkar, P. P. Khade, S. P Gawande, Turk J. Phys33,(2009)155-165.