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A conformal vector in shearing space-times

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Il Nuovo Cimento B (1971-1996)

Summary

We analyse a class of spherically symmetric solutions to the Einstein field equations which are accelerating, expanding and shearing. These solutions are characterised thermodynamically by an equation of state,p=μ+const, which is a generalisation of the stiff equation of state. In this paper we characterise this class of shearing solutions geometrically by showing that it admits a conformal symmetry. This suggests the possibility of finding other solutions in spherically symmetric models by imposing the requirement of a conformal symmetry on space-time.

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Authors and Affiliations

  1. Department of Mathematics and Applied Mathematics, University of Natal, King George V Avenue, 4001, Durban, South Africa

    S. D. Maharaj

  2. Department of Mathematics and Applied Mathematics, University of Durban-Westville, Private Bag X54 001, 4000, Durban, South Africa

    M. S. Maharaj

Authors
  1. S. D. Maharaj
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  2. M. S. Maharaj
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Maharaj, S.D., Maharaj, M.S. A conformal vector in shearing space-times. Nuov Cim B 109, 983–988 (1994). https://doi.org/10.1007/BF02726145

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  • DOI: https://doi.org/10.1007/BF02726145

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