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Curious interior solutions of general relativity

2010/06/14 by S. M. Kozyrev, Kozyrev, S. M.
Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #gr-qc #hep-th

paper · pdf · doi:10.48550/arxiv.1006.2755

6 pages

arxiv created 2010/06/14 · arxiv updated 2010/06/15

Abstract

In this article, we provide a discussion on a composite class of exact static spherically symmetric vacuum solutions of Einstein's equations. We construct the composite solution of Einstein field equation by match the interior vacuum metric in Schwarzschild original gauge, to the exterior vacuum metric in isotropic gauge, at a junction surface. This approach allows us to associate rigorously with both gauges as a same "space", which is a unique differentiable manifold M4

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