Eur. Phys. J. Plus (2014) 129: 177
https://doi.org/10.1140/epjp/i2014-14177-0

Regular Article

Bianchi type V bulk viscous cosmological models with particle creation in general relativity

¹ Department of Mathematics, Galgotias University, Plot No. 2, Sector 17 A, Yamuna Expressway, Greater Noida, UP, India
² Laboratory of Information Technologies, Joint Institute for Nuclear Research, 141980, Dubna, Moscow region, Russia

^* e-mail: mdzeyauddin@gmail.com

Received: 31 May 2014
Revised: 4 July 2014
Accepted: 4 July 2014
Published online: 22 August 2014

Abstract

In this paper, a spatially homogeneous and anisotropic Bianchi type V model filled with an imperfect fluid with bulk viscosity and particle creation, is investigated within the framework of General Relativity. Particle creation and bulk viscosity have been considered as separate irreversible processes. The energy-momentum tensor is modified to accommodate the viscous pressure and creation pressure which is associated with creation of matter out of gravitational field. Exact solutions of the field equations are obtained by applying a special law of variation of Hubble parameter. Using this assumption, we obtain two types of cosmological models. We find a singularity in the first model whereas the second model is non-singular. Further we separately study the bulk viscosity and particle creation in each model considering four different cases. The bulk viscosity coefficient ζ is obtained for truncated, full causal and Eckart theories in all cases. All physical parameters are calculated and thoroughly discussed in both models.