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arXiv · 1102.5215

Area - Angular momentum inequality for axisymmetric black holes

Sergio Dain·Martin Reiris
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Abstract

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

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Sergio Dain, Martin Reiris. 2011-07-21. Area - Angular momentum inequality for axisymmetric black holes. https://doi.org/10.1103/physrevlett.107.051101

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