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New shear-free relativistic models with heat flow

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Abstract

We study shear-free spherically symmetric relativistic models with heat flow. Our analysis is based on Lie’s theory of extended groups applied to the governing field equations. In particular, we generate a five-parameter family of transformations which enables us to map existing solutions to new solutions. All known solutions of Einstein equations with heat flow can therefore produce infinite families of new solutions. In addition, we provide two new classes of solutions utilising the Lie infinitesimal generators. These solutions generate an infinite class of solutions given any one of the two unknown metric functions.

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Authors and Affiliations

  1. Astrophysics and Cosmology Research Unit, School of Mathematical Sciences, University of KwaZulu-Natal, Private Bag X54001, Durban, 4000, South Africa

    A. M. Msomi, K. S. Govinder & S. D. Maharaj

  2. Department of Mathematical Sciences, Mangosuthu University of Technology, P O Box 12363, Jacobs, 4026, South Africa

    A. M. Msomi

Authors
  1. A. M. Msomi
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  2. K. S. Govinder
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  3. S. D. Maharaj
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Correspondence to S. D. Maharaj.

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Msomi, A.M., Govinder, K.S. & Maharaj, S.D. New shear-free relativistic models with heat flow. Gen Relativ Gravit 43, 1685–1696 (2011). https://doi.org/10.1007/s10714-011-1150-5

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  • DOI: https://doi.org/10.1007/s10714-011-1150-5

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