Local existence and uniqueness for exterior static vacuum Einstein metrics
General Relativity and Quantum Cosmology
2013-08-19 v1 Differential Geometry
Abstract
We study solutions to the static vacuum Einstein equations on exterior domains with prescribed metric and mean curvature on the inner boundary. It is proved that for any such boundary data near the standard round boundary data in Euclidean space, there exists a unique AF solution to the static vacuum equations realizing the boundary data, which is close to the standard flat solution.
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Cite
@article{arxiv.1308.3642,
title = {Local existence and uniqueness for exterior static vacuum Einstein metrics},
author = {Michael T Anderson},
journal= {arXiv preprint arXiv:1308.3642},
year = {2013}
}
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5 pages