A universal inequality between angular momentum and horizon area for axisymmetric and stationary black holes with surrounding matter
classification
🌀 gr-qc
keywords
blackangularareaaxisymmetricholeshorizoninequalitymatter
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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.
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