A universal inequality for axisymmetric and stationary black holes with surrounding matter in the Einstein-Maxwell theory

Abstract

We prove that in Einstein-Maxwell theory the inequality $(8\pi J{)}^2+(4\pi Q^2{)}^2<A^2$ holds for any sub-extremal axisymmetric and stationary black hole with arbitrary surrounding matter. Here $J,Q$, and $A$ are angular momentum, electric charge, and horizon area of the black hole, respectively.

20 pages

References in corpus (3)

• Extremality conditions for isolated and dynamical horizons
• A universal inequality between angular momentum and horizon area for axisymmetric and stationary black holes with surrounding matter
• A universal constraint between charge and rotation rate for degenerate black holes surrounded by matter

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