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Anisotropic spheres with uniform energy density in general relativity

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Abstract

An ansatz is developed to obtain interior solutions of the Einstein field equations for anisotropic spheres. This procedure necessitates a choice for the energy-density and the radial pressure. A class of solutions for a uniform energy-density source is presented. These anisotropic spheres match smoothly to the Schwarzschild exterior and are well-behaved in the interior of the sphere.

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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. Centre for Nonlinear Studies and Department of Computational and Applied Mathematics, University of the Witwatersrand, P.O. Wits 2050, Johannesburg, South Africa

    R. Maartens

Authors
  1. S. D. Maharaj
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  2. R. Maartens
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Maharaj, S.D., Maartens, R. Anisotropic spheres with uniform energy density in general relativity. Gen Relat Gravit 21, 899–905 (1989). https://doi.org/10.1007/BF00769863

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  • DOI: https://doi.org/10.1007/BF00769863

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