期刊
PHYSICAL REVIEW LETTERS
卷 107, 期 5, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.107.051101
关键词
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资金
- CONICET (Argentina) [PIP 6354/05]
- Secyt-UNC (Argentina)
- Max Planck Institute for Gravitational Physics (Germany)
We prove the local inequality A >= 8 pi vertical bar J vertical bar, 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.
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