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arXiv · 1111.6248

Black hole Area-Angular momentum-Charge inequality in dynamical non-vacuum spacetimes

María E. Gabach Clément·José Luis Jaramillo
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Abstract

We show that the area-angular momentum-charge inequality (A/(4π))^2 \geq (2J)^2 + (Q_E^2 + Q_M^2)^2 holds for apparent horizons of electrically and magnetically charged rotating black holes in generic dynamical and non-vacuum spacetimes. More specifically, this quasi-local inequality applies to axially symmetric closed outermost stably marginally (outer) trapped surfaces, embedded in non-necessarily axisymmetric black hole spacetimes with non-negative cosmological constant and matter content satisfying the dominant energy condition.

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María E. Gabach Clément, José Luis Jaramillo. 2011-11-27. Black hole Area-Angular momentum-Charge inequality in dynamical non-vacuum spacetimes. https://doi.org/10.1103/physrevd.86.064021

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