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    • Locally-rotationally-symmetric Bianchi type-V cosmology with heat flow

      C P Singh A Beesham

      Brief Reports Volume 73 Issue 4 October 2009 pp 793-798

    • Fulltext

       

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

    • Keywords

       

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

    • Abstract

       

      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.

    • Author Affiliations

       

      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

    • Dates

       
      Published
      October 2009
      Manuscript received
      27 October 2008
      Manuscript revised
      17 April 2009
      Accepted
      23 May 2009

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