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Equation of state for anisotropic spheres

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Abstract

We present a new class of exact interior solutions for anisotropic spheres to the Einstein field equations with a prescribed energy density. This category of solutions has similar energy density profiles to the models of Chaisi and Maharaj (Gen. Rel. Grav. 37, 1177–1189, 2005) whose approach we follow in the integration process. A distinguishing feature of the solutions presented is that they satisfy a barotropic equation of state linearly relating the radial pressure to the energy density.

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Authors and Affiliations

  1. Astrophysics and Cosmology Research Unit, School of Mathematical Sciences, University of KwaZulu-Natal, Durban, 4041, South Africa

    S. D. Maharaj & M. Chaisi

  2. Department of Mathematics and Computer Science, National University of Lesotho, Roma, 180, Lesotho

    M. Chaisi

Authors
  1. S. D. Maharaj
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  2. M. Chaisi
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Correspondence to S. D. Maharaj.

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Maharaj, S.D., Chaisi, M. Equation of state for anisotropic spheres. Gen Relativ Gravit 38, 1723–1726 (2006). https://doi.org/10.1007/s10714-006-0353-7

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  • DOI: https://doi.org/10.1007/s10714-006-0353-7

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