Area - Angular momentum inequality for axisymmetric black holes

Details Area - Angular momentum inequality for axisymmetric black holes Area - Angular momentum inequality for axisymmetric black holes

2011-02-25

arxiv.org/abs/1102.5215v2

Phys.Rev.Lett.107:051101,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Minor changes in the presentation. To appear in Phys. Rev. Letters

Scientific paper

10.1103/PhysRevLett.107.051101

We prove the local inequality $A \geq 8\pi|J|$, 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.

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