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

MPS-Authors
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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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Fulltext (public)

1111.6248
(Preprint), 117KB

PRD86_064021.pdf
(Any fulltext), 139KB

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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: http://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.