The asymptotic of static isolated systems and a generalized uniqueness for Schwarzschild
The asymptotic of static isolated systems and a generalized uniqueness for Schwarzschild
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静态孤立系统的渐进性和史瓦西的广义唯一性
DOI：
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发表时间：
2015
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通讯作者：
M. Reiris
中科院分区：
文献类型：
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作者：
M. Reiris
已经证明，任何在无穷远处时空测地线完备的静态系统，其在紧集外的类空拓扑是R3？>减去一个球，是渐近平坦的。假定该物质为压性支承，不需要能量条件。类似的（虽然更强）结果也适用于黑洞。这使我们能够说明一个大的推广有关的唯一性的史瓦西解决方案，不需要渐近平坦。Korotkin-Nicolai静态黑洞表明，对于给定的推广，在假设中没有进一步的灵活性是可能的。
It has been proven that any static system that is spacetime-geodesically complete at infinity, and whose spacelike-topology outside a compact set is that of R 3 ?> minus a ball, is asymptotically flat. The matter is assumed to be compactly supported and no energy condition is required. A similar (though stronger) result also applies to black holes. This allows us to state a large generalization concerning the uniqueness of the Schwarzschild solution in not requiring asymptotic flatness. The Korotkin–Nicolai static black-hole shows that for the given generalization, no further flexibility in the hypothesis is possible.