Area-angular momentum-charge inequality for stable marginally outer trapped surfaces in 4D Einstein-Maxwell-dilaton theory
arXiv:1210.4684 · doi:10.1103/PhysRevD.87.024016
Abstract
We derive inequalities between the area, the angular momentum and the charges for axisymmetric closed outermost stably marginally outer trapped surfaces, embedded in dynamical and, in general, non-axisymmetric spacetimes satisfying the Einstein-Maxwell-dilaton-matter equations. In proving the inequalities we assume that the dilaton potential is nonnegative and that the matter energy-momentum tensor satisfies the dominant energy condition.
12 pages;v2 more detailed proof of Lemma 2, references and comments added, typos corrected
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- Electrically charged dilaton black holes in external magnetic field
- Horizon area-angular momentum-charge-magnetic fluxes inequalities in 5D Einstein-Maxwell-dilaton gravity
- Thermodynamics of rotating charged dilaton black holes in an external magnetic field
- Angular momentum-area proportionality of extremal charged black holes in odd dimensions
- Mass angular momentum and charge inequalities for black holes in Einstein-Maxwell-axion-dilaton gravity
- Bounding Horizon Area by Angular Momentum, Charge, and Cosmological Constant in 5-Dimensional Minimal Supergravity