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Anisotropic spheres with variable energy density in general relativity

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Abstract

Interior solutions of Einstein field equations for anisotropic spheres with variable energy density are obtained. The solutions for uniform energy density [10] and for radial pressure equal to zero [11] are particular cases of the present solution. With this solution we are also able to discuss an anisotropic gas sphere. Physically it explains larger red-shifts of different quasi-stellar objects. The results of the model have been used to explain the behaviour of a neutron stars and conclude that the maximum mass of a neutron star does not exceed two solar masses, which confirms the Chandrasekhar limit.

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Authors and Affiliations

  1. Department of Mathematics, Government College, Sahapura (Bhilwara), Rajasthan, India

    M. K. Gokhroo

  2. Department of Mathematics, Government College, Ajmer, Rajasthan, India

    A. L. Mehra

Authors
  1. M. K. Gokhroo
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  2. A. L. Mehra
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Gokhroo, M.K., Mehra, A.L. Anisotropic spheres with variable energy density in general relativity. Gen Relat Gravit 26, 75–84 (1994). https://doi.org/10.1007/BF02088210

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  • DOI: https://doi.org/10.1007/BF02088210

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