Area-charge inequality for black holes

Abstract

The inequality between area and charge $A\ge 4\pi Q^2$ for dynamical black holes is proved. No symmetry assumption is made and charged matter fields are included. Extensions of this inequality are also proved for regions in the spacetime which are not necessarily black hole boundaries.

21 pages, 2 figures

References in corpus (5)

• Isolated, slowly evolving, and dynamical trapping horizons: geometry and mechanics from surface deformations
• Extremality conditions for isolated and dynamical horizons
• Universal properties of distorted Kerr-Newman black holes
• A universal constraint between charge and rotation rate for degenerate black holes surrounded by matter
• Extreme throat initial data set and horizon area--angular momentum inequality for axisymmetric black holes

Cited by in corpus (30)

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• Area-angular momentum-charge inequality for stable marginally outer trapped surfaces in 4D Einstein-Maxwell-dilaton theory
• Quasi-Local Black Hole Horizons: Recent Advances
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• Four types of attractive gravity probe surfaces
• Mass angular momentum and charge inequalities for black holes in Einstein-Maxwell-axion-dilaton gravity
• Isoperimetric surfaces and area-angular momentum inequality in a rotating black hole in New Massive Gravity
• Stable isoperimetric surfaces in super-extreme Reissner-Nordström
• Instability of the extreme Kerr-Newman black-holes
• Modelling black holes with angular momentum in loop quantum gravity
• Proof of the local mass-angular momenta inequality for $U(1{)}^2$ invariant black holes
• A note on the rigidity of marginally outer trapped 2-spheres
• Geometric inequalities in spherically symmetric spacetimes
• CMC surfaces and area-charge inequality for a spheroidal ECD spacetime
• Quasi-local Penrose inequalities with electric charge