Abstract
Exact solutions of the field equations for a Bianchi type-I space-time, filled with a viscous fluid and cosmological constant, are obtained. We utilize the constancy of deceleration parameter to get singular and non-singular solutions. We investigate a number of solutions with constant and time-varying cosmological constant together with a linear relation between shear viscosity and expansion scalar. Due to dissipative processes, the mean anisotropy and shear of the model tend to zero at a faster rate.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Bali, R., Singh, J.P.: Int. J. Theor. Phys. 47, 3288 (2008)
Belinskii, V.A., Khalatnikov, I.M.: Sov. Phys. JETP 42, 205 (1976)
Berman, M.S.: Nuovo Cim. B 74, 182 (1983)
Carneiro, S.: Int. J. Mod. Phys. D 12, 1669 (2003)
Eckart, C.: Phys. Rev. 58, 919 (1940)
Freese, K., et al.: Nuclear Phys. B 287, 797 (1987)
Garnavich, P.M., et al.: Astrophys. J. 493, L53 (1998a)
Garnavich, P.M., et al.: Astrophys. J. 509, 74 (1998b)
Gavrilov, V.R., Melnikov, V.N., Triay, R.: Class Quantum Gravity 14, 2203 (1997)
Grøn, Ø.: Astrophys. Space Sci. 173, 191 (1990)
Huang, W.: J. Math. Phys. 31, 1456 (1990)
Krori, K.D., Mukherjee, A.: Gen. Relativ. Gravity 32, 1429 (2000)
Kumar, S., Singh, C.P.: Astrophys. Space Sci. 312, 57 (2007)
Landau, L.D., Lifshitz, E.M.: Fluid Mechanics. Pergamon, New York (1959), pp. 47
Mak, M.K., Harko, T.: Int. J. Mod. Phys. D 11, 447 (2002)
Misner, C.W.: Astrophys. J. 151, 431 (1968)
Özer, M., Taha, M.O.: Phys. Lett. B 171, 363 (1986)
Özer, M., Taha, M.O.: Nucl. Phys. B 287, 776 (1987)
Peebles, P.J.E., Ratra, B.: Rev. Mod. Phys. 75, 559 (2003)
Perlmutter, S., et al.: Astrophys. J. 483, 565 (1997)
Perlmutter, S., et al.: Nature 391, 51 (1998)
Perlmutter, S., et al.: Astrophys. J. 517, 565 (1999)
Pradhan, A., Pandey, P.: Astrophys. Space Sci. 301, 127 (2006)
Pradhan, A., Srivastav, S.K., Yadav, M.K.: Astrophys. Space Sci. 298, 419 (2005)
Riess, A.G., et al.: Astron. J. 116, 1009 (1998)
Riess, A.G., et al.: Astrophys. J. 607, 665 (2004)
Schmidt, B.P., et al.: Astrophys. J. 507, 46 (1998)
Saha, B.: Mod. Phys. Lett. A 20, 2127 (2005)
Saha, B.: Astrophys. Space Sci. 312, 3 (2007)
Saha, B., Rikhvitsky, V.: Physica D 219, 168 (2006)
Saha, B., Rikhvitsky, V.: J. Math. Phys. 49, 112502 (2008)
Sahni, V., Starobinsky, A.: Int. J. Mod. Phys. D 9, 373 (2000)
Singh, C.P., Kumar, S.: Int. J. Theor. Phys. 47, 3171 (2008)
Singh, C.P., Kumar, S.: Int. J. Theor. Phys. 48, 925 (2009)
Singh, T., Chaubey, R.: Pramana J. Phys. 68, 721 (2007)
Weinberg, S.: Astrophys. J. 168, 175 (1971)
Weinberg, S.: Rev. Mod. Phys. 61, 1 (1989)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Singh, C.P., Kumar, S. Viscous fluid cosmology with a cosmological constant. Astrophys Space Sci 323, 407–414 (2009). https://doi.org/10.1007/s10509-009-0137-0
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10509-009-0137-0