On the existence of interior solutions in general relativity
On the existence of interior solutions in general relativity
复制标题
论广义相对论内解的存在性
DOI：
10.1007/bf00766138
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发表时间：
1976
影响因子：
2.8
通讯作者：
W. Roos
中科院分区：
文献类型：
--
作者：
W. Roos
研究了给定爱因斯坦真空场方程的平稳轴对称解的物质源的存在性问题。如果可以适当选择边界表面，则至少可以在边界表面附近证明差动或刚性旋转完美流体源的存在（定理）。特别是，克尔度量存在这种“半局部”完美流体源。因此，全局正则“克尔内部解”的存在不能通过可能边界的任意小邻域中的局部考虑来排除。
The existence problem of matter sources for given stationary axisymmetric solutions of Einstein's vacuum field equations is investigated. The existence of sources of a differentially or rigidly rotating perfect fluid can be proved at least in the neighborhood of boundary surfaces if these can be chosen suitably (theorem). In particular, there exist such “half-local” perfect fluid sources for the Kerr metric. Hence the existence of a global regular “Kerr-interior solution” cannot be excluded by local considerations in an arbitrarily small neighborhood of a possible boundary.