Horizon area--angular momentum inequality for a class of axially symmetric black holes

Details Horizon area--angular momentum inequality for a class of axially symmetric black holes Horizon area--angular momentum inequality for a class of axially symmetric black holes

2010-12-11

arxiv.org/abs/1012.2413v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

23 pages, 5 figures. We improved the hypothesis of the main theorem

Scientific paper

We prove an inequality between horizon area and angular momentum for a class of axially symmetric black holes. This class includes initial conditions with an isometry which leaves fixed a two-surface. These initial conditions have been extensively used in the numerical evolution of rotating black holes. They can describe highly distorted black holes, not necessarily near equilibrium. We also prove the inequality on extreme throat initial data, extending previous results.

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