Domain structure of black hole space-times
Domain structure of black hole space-times
复制标题
黑洞时空域结构
DOI：
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发表时间：
2009
期刊：
影响因子：
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通讯作者：
T. Harmark
中科院分区：
文献类型：
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作者：
T. Harmark
我们介绍了稳态黑洞时空的畴结构。域结构存在于Killing向量场的不动点的子流形上。根据哪一个Killing向量场具有不动点，子流形自然地被划分为域。域结构提供了空间-时间的拓扑和连续不变量。它定义为任何时空维度和任何数量的Killing向量场。我们研究了渐进平坦时空的域结构，并找到了这种时空度量的标准形式。域结构推广了引入D-2交换Killing向量场的时空的棒结构。我们详细分析了Minkowski空间、Schwarzschild-Tangherlini黑洞和Myers-Perry黑洞在六维和七维空间中的畴结构。最后，我们考虑了六维和七维渐近平坦黑洞可能的畴结构。
We introduce the domain structure for stationary black hole space-times. The domain structure lives on the submanifold of fixed points of the Killing vector fields. Depending on which Killing vector field has fixed points the submanifold is naturally divided into domains. The domain structure provides invariants of the space-time, both topological and continuous. It is defined for any space-time dimension and any number of Killing vector fields. We examine the domain structure for asymptotically flat space-times and find a canonical form for the metric of such space-times. The domain structure generalizes the rod structure introduced for space-times with D-2 commuting Killing vector fields. We analyze in detail the domain structure for Minkowski space, the Schwarzschild-Tangherlini black hole and the Myers-Perry black hole in six and seven dimensions. Finally, we consider the possible domain structures for asymptotically flat black holes in six and seven dimensio0008.