A classification of near-horizon geometries of extremal vacuum black holes
A classification of near-horizon geometries of extremal vacuum black holes
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DOI：
10.1063/1.3190480
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发表时间：
2008-06
影响因子：
1.3
通讯作者：
Hari K. Kunduri;James Lucietti
中科院分区：
文献类型：
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作者：
Hari K. Kunduri;James Lucietti
我们认为极端的近视界几何，旋转黑洞的真空爱因斯坦方程的解决方案，包括一个负的宇宙常数，在四，五个维度。我们假设存在一个旋转对称在四维（4D），两个交换旋转对称在五维（5D），并在这两种情况下nontoroidal地平线拓扑。在四维空间中，我们确定了这种黑洞的最一般的近视界几何，并证明了它与极值Kerr-AdS 4黑洞的近视界极限相同。在5D中，没有宇宙学常数，我们确定了这种黑洞所有可能的近视界几何。我们证明了唯一的可能性是一个具有拓扑S1×S2视界的族和两个不同的具有拓扑S3视界的族。S1×S2族包含了提升极值Kerr弦的近视界极限和极值真空黑环。第一个拓扑球形的情况下是相同的近地平线的限制，两个不同的黑…
We consider the near-horizon geometries of extremal, rotating black hole solutions of the vacuum Einstein equations, including a negative cosmological constant, in four and five dimensions. We assume the existence of one rotational symmetry in four dimensions (4D), two commuting rotational symmetries in five dimensions (5D), and in both cases nontoroidal horizon topology. In 4D we determine the most general near-horizon geometry of such a black hole and prove it is the same as the near-horizon limit of the extremal Kerr-AdS4 black hole. In 5D, without a cosmological constant, we determine all possible near-horizon geometries of such black holes. We prove that the only possibilities are one family with a topologically S1×S2 horizon and two distinct families with topologically S3 horizons. The S1×S2 family contains the near-horizon limit of the boosted extremal Kerr string and the extremal vacuum black ring. The first topologically spherical case is identical to the near-horizon limit of two different black...