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Compact anisotropic spheres with prescribed energy density

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Abstract

Abstract New exact interior solutions to the Einstein field equations for anisotropic spheres are found. We utilise a procedure that necessitates a choice for the energy density and the radial pressure. This class contains the constant density model of Maharaj and Maartens (Gen. Rel. Grav. 21, 899–905 (1989)), and the variable density model of Gokhroo and Mehra (Gen. Rel. Grav. 26, 75–84 (1994)), as special cases. These anisotropic spheres match smoothly to the Schwarzschild exterior and gravitational potentials are well behaved in the interior. A graphical analysis of the matter variables is performed which points to a physically reasonable matter distribution.

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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

    M. Chaisi & S. D. Maharaj

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

    M. Chaisi

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

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Chaisi, M., Maharaj, S.D. Compact anisotropic spheres with prescribed energy density. Gen Relativ Gravit 37, 1177–1189 (2005). https://doi.org/10.1007/s10714-005-0102-3

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  • DOI: https://doi.org/10.1007/s10714-005-0102-3

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