A universal inequality between angular momentum and horizon area for axisymmetric and stationary black holes with surrounding matter

preprint2008arXivOpen access

We prove that for sub-extremal axisymmetric and stationary black holes with arbitrary surrounding matter the inequality $8π|J|<A$ holds, where $J$ is the angular momentum and $A$ the horizon area of the black hole.

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A universal inequality between angular momentum and horizon area for axisymmetric and stationary black holes with surrounding matter

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