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.
Similar content being viewed by others
References
Bali, R., Shilpi, J.: Int. J. Mod. Phys. D 16, 1769 (2007)
Bali, R., Meena, B.L.: Pramana 62, 1007 (2004)
Bali, R., Singh, D.K.: Astrophys. Space Sci. 300, 387 (2005)
Bali, R., Yadav, M.K.: J. Rajasthan Acad. Phys. Sci. 1(1), 47 (2002)
Belinski, V.A., Khalatnikov, I.M.: Sov. Phys. JETP 45, 7 (1977)
Benerjee, A., Sanyal, A.K.: Gen. Relativ. Gravit. 20, 103 (1988)
Berman, M.S., Gomide, F.M.: Gen. Relativ. Gravit. 20, 191 (1988)
Berman, M.S.: Nuovo Cim. B 74, 182 (1983)
Chimento, L.P.: Phys. Rev. D 69, 123517 (2004)
Coley, A.A.: Gen. Relativ. Gravit. 22, 3 (1990)
Collins, C.B.: Commun. Math. Phys. 39, 131 (1974)
Farnsworth, D.L.: J. Math. Phys. 8, 2315 (1967)
Guth, A.: Phys. Rev. D 23, 347 (1981)
Hawking, S.W., Ellis, G.F.R.: The Large Scale Structure of Space-Time, p. 88. Cambridge Univ. Press, Cambridge (1975)
Hu, B.L., Parker, L.: Phys. Rev. D 17, 933 (1978)
Hu, B.L., Parker, L.: Phys. Rev. 17, 3292(E) (1978)
John, M.V.: Astrophys. J. 614, 1 (2004)
Johri, V.B., Desikan, K.: Gen. Relativ. Gravit. 26, 1217 (1994)
Johri, V.B., Sudarshan, R.: Phys. Lett. A 132, 316 (1988)
Knop, R.A., et al.: Astrophys. J. 598, 102 (2003)
Kumar, S., Singh, C.P.: Astrophys. Space Sci. 312, 57 (2007)
Land, K., Magueijo, J.: Phys. Rev. Lett. 95, 071301 (2005)
Langacker, P.: Phys. Rep. 72, 185 (1981)
Landsberg, P.T., Evans, D.A.: Mathematical Cosmology, p. 37. Clarendon, Oxford (1977)
Landsberg, P.T., Evans, D.A.: Mathematical Cosmology, p. 101. Clarendon, Oxford (1977)
Lorenz, D.: Gen. Relativ. Gravit. 13, 795 (1981)
Maartens, R., Nel, S.D.: Commun. Math. Phys. 59, 273 (1978)
Maartens, R.: Class. Quantum Gravity 12, 1455 (1995)
Maharaj, S.D., Naidoo, R.: Astrophys. Space Sci. 208, 261 (1993)
Misner, C.W.: Astrophys. J. 151, 431 (1968)
Misner, C.W.: Nature 214, 40 (1967)
Murphy, G.L.: Phys. Rev. D 8, 4231 (1973)
Narlikar, J.V.: Introduction to Cosmology, pp. 241–244. Cambridge Univ. Press, Cambridge (1993)
Nayak, B.K., Sahoo, B.K.: Gen. Relativ. Gravit. 21, 211 (1989)
Pacher, T., Stein-Schabas, J.A., Turner, M.S.: Phys. Rev. D 36, 1603 (1987)
Padmanabhan, T., Chitre, S.M.: Phys. Lett. A 120, 433 (1987)
Perlmutter, S., et al.: Astrophys. J. 517, 565 (1999)
Pradhan, A., Aotemshi, I.: Int. J. Mod. Phys. D 11, 1419 (2002)
Pradhan, A., Vishwakarma, A.K.: Ind. J. Pure Appl. Math. 33, 1239 (2002)
Pradhan, A., Yadav, V.K.: Int. J. Mod. Phys. D 11, 893 (2002)
Rahman, F., Begum, N., Bag, G., Bhui, B.: Astrophys. Space Sci. 29, 211 (2005)
Ram, S.: Int. J. Theor. Phys. 29, 901 (1990)
Reddy, D.R.K., Naidoo, R.L., Adhav, K.S.: Astrophys. Space Sci. 307, 365 (2007)
Reddy, D.R.K., Subba Rao, M.V., Koteswara Rao, G.: Astrophys. Space Sci. 306, 171 (2006)
Riess, A.G., et al.: Astron. J. 116, 1009 (1998)
Riess, A.G., et al.: Astron. J. 607, 665 (2004)
Roy, S.R., Prasad, A.: Gen. Relativ. Gravit. 26, 10 (1994)
Roy, S.R., Singh, J.P.: Astrophys. Space Sci. 96, 303 (1983)
Roy, S.R., Singh, J.P.: Aust. J. Phys. 38, 763 (1985)
Saha, B.: Astrophys. Space Sci. 302, 83 (2006)
Santos, N.O., Dias, R.S., Benerjee, A.: J. Math. Phys. 26, 876 (1985)
Singh, C.P., Kumar, S.: Int. J. Mod. Phys. D 15, 419 (2006)
Singh, G.P., Desikan, K.: Pramana 49, 205 (1997)
Singh, J.K.: Astrophys. Space Sci. 281, 585 (2002)
Singh, J.K.: Astrophys. Space Sci. 310, 241 (2007)
Singh, T., Agrawal, A.K.: Int. J. Theor. Phys. 32, 1041 (1993)
Singh, T., Chaubey, R.: Pramana 67, 415 (2006)
Singh, T., Chaubey, R.: Pramana 68, 721 (2007)
Tonry, J.L., et al.: Astrophys. J. 594, 1 (2003)
Waga, L., Falcan, R.C., Chanda, R.: Phys. Rev. D 33, 1839 (1986)
Weinberg, S.: Astrophys. J. 168, 175 (1972)
Weinberg, S.: Gravitation and Cosmology. Wiley, New York (1972)
Wainwright, J., Ince, W.C.W., Marshman, B.J.: Gen. Relativ. Gravit. 10, 259 (1979)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Singh, J.P., Baghel, P.S. Bianchi Type V Cosmological Models with Constant Deceleration Parameter in General Relativity. Int J Theor Phys 48, 449–462 (2009). https://doi.org/10.1007/s10773-008-9820-0
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10773-008-9820-0