Local existence and uniqueness for exterior static vacuum Einstein metrics
Local existence and uniqueness for exterior static vacuum Einstein metrics
复制标题
外部静态真空爱因斯坦度量的局部存在性和唯一性
DOI：
10.1090/s0002-9939-2015-12486-0
复制
发表时间：
2013
影响因子：
2.5
通讯作者：
Michael T. Anderson
中科院分区：
文献类型：
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作者：
Michael T. Anderson
研究了具有给定度规和内边界平均曲率的外部区域上静态真空爱因斯坦方程的解。证明了对于欧氏空间中标准圆边界附近的任意一类边界数据，实现该边界数据的静态真空方程都存在唯一的AF解，该解与标准平坦解相近。
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.