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2 results on '"83C20, 58D29, 58J32"'

1. Local existence and uniqueness for exterior static vacuum Einstein metrics

Author

Anderson, Michael T

Subjects
General Relativity and Quantum Cosmology, Mathematics - Differential Geometry, 83C20, 58D29, 58J32
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., Comment: 5 pages

Published
2013

2. Local existence and uniqueness for exterior static vacuum Einstein metrics

Author

Michael T. Anderson

Subjects
Mathematics - Differential Geometry, General Mathematics, FOS: Physical sciences, Boundary (topology), General Relativity and Quantum Cosmology (gr-qc), 01 natural sciences, General Relativity and Quantum Cosmology, symbols.namesake, 83C20, 58D29, 58J32, 0103 physical sciences, Boundary data, FOS: Mathematics, Einstein equations, Uniqueness, 0101 mathematics, Einstein, 010306 general physics, Physics, Mean curvature, Euclidean space, Applied Mathematics, 010102 general mathematics, Mathematical analysis, Differential Geometry (math.DG), Metric (mathematics), symbols
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., 5 pages

Published
2013

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