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Anisotropic spheres with uniform energy density in general relativity

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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.

Original languageEnglish
Pages (from-to)899-905
Number of pages7
JournalGeneral Relativity and Gravitation
Issue number9
Publication statusPublished - 1 Sep 1989

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