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

Abstract

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

8 pages

References in corpus (2)

• Extremality conditions for isolated and dynamical horizons
• A universal constraint between charge and rotation rate for degenerate black holes surrounded by matter

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