Mechanics of higher dimensional black holes in asymptotically anti-de Sitter spacetimes
Mechanics of higher dimensional black holes in asymptotically anti-de Sitter spacetimes
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DOI：
10.1088/0264-9381/24/3/007
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发表时间：
2006-11
影响因子：
3.5
通讯作者：
A. Ashtekar;T. Pawłowski;C. Broeck
中科院分区：
文献类型：
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作者：
A. Ashtekar;T. Pawłowski;C. Broeck
我们构造了一个共变的相空间，描述了一个负宇宙学常数的黑洞在局部平衡的爱因斯坦引力在d_1 ~ d_4维。因此，所考虑的时空是渐近反德西特的，并且允许一个表示孤立视界的内边界。这使我们能够推导出黑洞力学第一定律，它只涉及在视界准局部定义的量，而不必假设大体积时空是静止的。Gibbons等人提出的Kerr-AdS家族的第一定律是从这个更一般的第一定律的一个特例中推导出来的。
We construct a covariant phase space for the Einstein gravity in dimensions d ⩾ 4 with a negative cosmological constant, describing black holes in local equilibrium. Thus, spacetimes under consideration are asymptotically anti-de Sitter and admit an inner boundary representing an isolated horizon. This allows us to derive a first law of black hole mechanics that involves only quantities defined quasi-locally at the horizon, without having to assume that the bulk spacetime is stationary. The first law proposed by Gibbons et al for the Kerr–AdS family follows from a special case of this much more general first law.