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Anisotropic static solutions in modelling highly compact bodies

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Abstract

Einstein field equations for static anisotropic spheres are solved and exact interior solutions obtained. This paper extends earlier treatments to include anisotropic models which accommodate a wider variety of physically viable energy densities. Two classes of solutions are possible. The first class contains the limiting caseμ,∝ r-2 for the energy density which arises in many astrophysical applications. In the second class the singularity at the centre of the star is not present in the energy density.

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  1. M. Chaisi

    Present address: Department of Mathematics and Computer Science, National University of Lesotho, Roma 180, Lesotho

Authors and Affiliations

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

    M. Chaisi & S D. Maharaj

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  1. M. Chaisi
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  2. S D. Maharaj
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Chaisi, M., Maharaj, S.D. Anisotropic static solutions in modelling highly compact bodies. Pramana - J Phys 66, 609–614 (2006). https://doi.org/10.1007/BF02704504

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