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arXiv 0812.1576hep-thgr-qc
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旋转极值AdS(4)黑洞近视界几何的唯一性

Uniqueness of near-horizon geometries of rotating extremal AdS(4) black holes

Hari K. Kunduri, James Lucietti

摘要:

我们考虑四维空间中具有负宇宙学常数的Einstein-麦克斯韦方程组的稳态极值黑洞解。我们确定所有的非静态轴对称近视界几何(与非环形视界拓扑)和所有静态近视界几何的黑洞这类。这使我们能够推导出渐近全局AdS(4)旋转极值黑洞的最一般的近视界几何是极值Kerr-Newman-AdS(4)的近视界极限。我们还确定了超对称的近地平线几何的子集。最后,我们指出了极值黑洞的哪些物理量可以仅从近视界极限计算,并指出了已知超对称AdS(4)黑洞的熵的一个简单公式。在宇宙学常数为零的情况下,给出了类似的结果.

英文摘要:

We consider stationary extremal black hole solutions of the Einstein-Maxwell equations with a negative cosmological constant in four dimensions. We determine all non-static axisymmetric near-horizon geometries (with non-toroidal horizon topology) and all static near-horizon geometries for black holes of this kind. This allows us to deduce that the most general near-horizon geometry of an asymptotically globally AdS(4) rotating extremal black hole, is the near-horizon limit of extremal Kerr-Newman-AdS(4). We also identify the subset of near-horizon geometries which are supersymmetric. Finally, we show which physical quantities of extremal black holes may be computed from the near-horizon limit alone, and point out a simple formula for the entropy of the known supersymmetric AdS(4) black hole. Analogous results are presented in the case of vanishing cosmological constant.

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