Anisotropic spheres with uniform energy density in general relativity

Details Anisotropic spheres with uniform energy density in general relativity Anisotropic spheres with uniform energy density in general relativity

Sep 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989gregr..21..899m&link_type=abstract

General Relativity and Gravitation, Volume 21, Issue 9, pp.899-905

Physics

30

Scientific paper

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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