Black hole Area-Angular momentum-Charge inequality in dynamical non-vacuum spacetimes
arXiv:1111.6248 · doi:10.1103/PhysRevD.86.064021
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.
4 pages, no figures
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- Stability of MOTS in totally geodesic null horizons
- Insights from Melvin-Kerr-Newman spacetimes
- Geometrical inequalities bounding angular momentum and charges in General Relativity
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- Geometric inequalities for black holes
- Area-angular momentum-charge inequality for stable marginally outer trapped surfaces in 4D Einstein-Maxwell-dilaton theory
- Geometric relations for rotating and charged AdS black holes
- Horizon area-angular momentum-charge-magnetic fluxes inequalities in 5D Einstein-Maxwell-dilaton gravity
- Mass angular momentum and charge inequalities for black holes in Einstein-Maxwell-axion-dilaton gravity