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M. K. Verma and Shri Ram, Bianchi Type VI0 Bulk Viscous Fluid Models with Variable Gravitational and Cosmological Constant. Appl. Math. 2, 348-354, 2011.

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Article

Anisotropic Bianchi Type-II Viscous Fluid Models with Time-Dependent Gravitational and Cosmological Constants

1Department of Applied Mathematics, Indian Institute of Technology, Banaras Hindu University, Varanasi, India


International Journal of Physics. 2013, Vol. 1 No. 4, 77-83
DOI: 10.12691/ijp-1-4-1
Copyright © 2013 Science and Education Publishing

Cite this paper:
M. K. Singh, M. K. Verma, Shri Ram. Anisotropic Bianchi Type-II Viscous Fluid Models with Time-Dependent Gravitational and Cosmological Constants. International Journal of Physics. 2013; 1(4):77-83. doi: 10.12691/ijp-1-4-1.

Correspondence to: Shri Ram, Department of Applied Mathematics, Indian Institute of Technology, Banaras Hindu University, Varanasi, India. Email: srmathitbhu@rediffmail.com

Abstract

This paper deals with totally anisotropic Bianchi type-II cosmological models filled with a bulk viscous fluid in the presence of time-varying gravitational and cosmological constants. Exact solutions of the field equations are obtained by applying a special law of variation for Hubble’s parameter which yields a constant value of the deceleration parameter. Two different physically viable models of the universe are presented in two types of cosmologies, one with power-law expansion and other one with exponential expansion. Cosmological model with power-law expansion has an initial big-bang type singularity at t = 0, whereas the model with exponential expansion has a singularity in infinite past. The physical and dynamical properties of the models are discussed.

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