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Motion of Isolated bodies

Yvonne Choquet-Bruhat, Helmut Friedrich

gr-qcarXiv:gr-qc/0605096

Abstract

It is shown that sufficiently smooth initial data for the Einstein-dust or the Einstein-Maxwell-dust equations with non-negative density of compact support develop into solutions representing isolated bodies in the sense that the matter field has spatially compact support and is embedded in an exterior vacuum solution.

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