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https://www.ias.ac.in/article/fulltext/pram/073/04/0793-0798

Cosmology; Bianchi models; inflationary phase; Hubble parameter; deceleration parameter.

In this paper we present a spatially homogeneous locally-rotationally-symmetric (LRS) Bianchi type-V cosmological model with perfect fluid and heat flow. A general approach is introduced to solve Einstein’s field equations using a law of variation for the mean Hubble parameter, which is related to average scale factor of the model that yields a constant value for the deceleration parameter. Exact solutions that correspond to singular and non-singular models are found with heat flow. The physical constraints on the solution and, in particular, the thermodynamical laws that govern such solutions are discussed in some detail.

C P Singh¹ A Beesham²

1. Department of Applied Mathematics, Delhi College of Engineering, Bawana Road, Delhi 110 042, India
2. Department of Mathematical Sciences, University of Zululand, Private Box X1001, Kwa-Dlangezwa 3886, South Africa

Published

October 2009

Manuscript received

27 October 2008

Manuscript revised

17 April 2009

Accepted

23 May 2009