Author(s)

Shubha Kotambkar¹, Gyan Prakash Singh², Rupali Kelkar³

¹Department of Applied Mathematics, Laxminarayan Institute of Technology, Rashtrasant Tukadoji Maharaj Nagpur University, Nagpur, India.
²Department of Mathematics, Visvesvaraya National Institute of Technology, Nagpur, India.
³Department of Applied Mathematics, S. B. Jain Institute of Technology, Management and Research, Nagpur, India.

This paper is devoted to studying the generalized Chaplygin gas models in Bianchi type III space- time geometry with time varying bulk viscosity, cosmological and gravitational constants. We are considering the condition on metric potential . Also to obtain deterministic models we have considered physically reasonable relations like , and the equation of state for generalized Chaplygin gas given by . A new set of exact solutions of Einstein’s field equations has been obtained in Eckart theory, truncated theory and full causal theory. Physical behaviour of the models has been discussed.

Bianchi Type III, Bulk Viscosity, Cosmological Constant, Gravitational Constant, Generalized Chaplygin Gas

Kotambkar, S. , Singh, G. and Kelkar, R. (2015) Bulk Viscous Anisotropic Cosmological Models with Generalized Chaplygin Gas with Time Varying Gravitational and Cosmological Constants. Natural Science, 7, 312-323. doi: 10.4236/ns.2015.76035.