Locally-rotationally-symmetric Bianchi type-V cosmology with heat flow |
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Authors: | C P Singh A Beesham |
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Institution: | 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
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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. |
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