Area-angular-momentum inequality for axisymmetric black holes.
Area-angular-momentum inequality for axisymmetric black holes.
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DOI：
10.1103/physrevlett.107.051101
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发表时间：
2010-07
影响因子：
8.6
通讯作者：
S. Dain;M. Reiris
中科院分区：
文献类型：
--
作者：
S. Dain;M. Reiris
我们证明了局部不等式A≥8π|J|，其中A和J是轴对称最大初始数据中任意轴对称闭合稳定极小曲面的面积和角动量。从该定理证明，对于完全渐近平坦最大轴对称数据上的任何表面，不等式都满足。特别是它适用于黑洞的边缘或事件视界。因此，我们证明了这个不等式对于所有动态（不一定接近平衡）轴对称黑洞的有效性。
We prove the local inequality A≥8π|J|, where A and J are the area and angular momentum of any axially symmetric closed stable minimal surface in an axially symmetric maximal initial data. From this theorem it is proved that the inequality is satisfied for any surface on complete asymptotically flat maximal axisymmetric data. In particular it holds for marginal or event horizons of black holes. Hence, we prove the validity of this inequality for all dynamical (not necessarily near equilibrium) axially symmetric black holes.