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

Gabach Clement, Maria E.; Jaramillo, José Luis

doi:10.1103/PhysRevD.86.064021

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

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Gabach Clement, Maria E.
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

Jaramillo, José Luis
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Citation

Gabach Clement, M. E., & Jaramillo, J. L. (2012). Black hole Area-Angular momentum-Charge inequality in dynamical non-vacuum spacetimes. Physical Review D, 86: 064021. doi:10.1103/PhysRevD.86.064021.

Cite as: https://hdl.handle.net/11858/00-001M-0000-000E-B0B3-4

Abstract

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.