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Anisotropic spheres with uniform energy density in general relativity |
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| Authors: | S. D. Maharaj R. Maartens |
| Affiliation: | 1. Department of Mathematics and Applied Mathematics, University of Natal, King George V Avenue, 4001, Durban, South Africa 2. Centre for Nonlinear Studies and Department of Computational and Applied Mathematics, University of the Witwatersrand, P.O. Wits 2050, Johannesburg, South Africa |
| 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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