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

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

2011-11-27

arxiv.org/abs/1111.6248v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, no figures

Scientific paper

We show that the area-angular momentum-charge inequality (A/(4\pi))^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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