Proof of the area-angular momentum-charge inequality for axisymmetric black holes

Abstract

We give a comprehensive discussion, including a detailed proof, of the area-angular momentum-charge inequality for axisymmetric black holes. We analyze the inequality from several viewpoints, in particular including aspects with a theoretical interest well beyond the Einstein-Maxwell theory.

31 pages, 2 figures

References in corpus (4)

• The area of horizons and the trapped region
• Extremality conditions for isolated and dynamical horizons
• Universal properties of distorted Kerr-Newman black holes
• A note on degeneracy, marginal stability and extremality of black hole horizons

Cited by in corpus (14)

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• Area products for stationary black hole horizons
• Black holes in N=8 supergravity from SO(4,4) hidden symmetries
• Horizon hair of extremal black holes and measurements at null infinity
• Lower Bounds for the Area of Black Holes in Terms of Mass, Charge, and Angular Momentum
• Geometrical inequalities bounding angular momentum and charges in General Relativity
• Geometric inequalities for black holes
• On the shape of rotating black-holes
• Evolutions from extremality
• Geometric Inequalities for Quasi-Local Masses
• Inequalities Between Size, Mass, Angular Momentum, and Charge for Axisymmetric Bodies and the Formation of Trapped Surfaces
• 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
• Geometric inequalities in spherically symmetric spacetimes