On the gravitational field of a plane plate in general relativity
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It is shown that a static solution of the Einstein equations inside an infinite plate of an ideal liquid with continuous metric coefficients and their first derivatives cannot have a plane of mirror symmetry. As a consequence, the boundaries of the plate are joined with qualitatively different vacuum solutions on both sides of the plate.
KeywordsGeneral Relativity Static Solution Mirror Symmetry Differential Geometry Gravitational Field
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