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Journal Article

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

##### Fulltext (public)

1111.6248

(Preprint), 117KB

PRD86_064021.pdf

(Any fulltext), 139KB

##### Supplementary Material (public)

There is no public supplementary material available

##### 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.