A new interior solution of Einstein's field equations for a spherically symmetric perfect fluid in shear-free motion

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, , Citation H Stephani 1983 J. Phys. A: Math. Gen. 16 3529 DOI 10.1088/0305-4470/16/15/017

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1 Sektion Phys., Friedrich-Schiller-Univ. Jena, Jena, East Germany

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0305-4470/16/15/3529

Abstract

Although spherically symmetric expanding (or contracting) stars are a very important class of objects for the application of general relativity theory, only very few perfect fluid solutions of Einstein's equations have been found so far. A new class of exact solutions is presented which contains two arbitrary functions of time and one additional parameter.

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10.1088/0305-4470/16/15/017