Extensions of the Charged Riemannian Penrose Inequality

Abstract

In this paper we investigate the extension of the charged Riemannian Penrose inequality to the case where charges are present outside the horizon. We prove a positive result when the charge densities are compactly supported, and present a counterexample when the charges extend to infinity. We also discuss additional extensions to other matter models.

arXiv comment11 pages; final version

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Cited by in corpus (10)

• On the charged Riemannian Penrose inequality with charged matter
• Proof of the Riemannian Penrose Inequality with Charge for Multiple Black Holes
• Bekenstein Bounds, Penrose Inequalities, and Black Hole Formation
• Penrose-like inequality with angular momentum for minimal surfaces
• Reduction Arguments for Geometric Inequalities Associated With Asymptotically Hyperboloidal Slices
• Comments on Penrose inequality with angular momentum for outermost apparent horizons
• The Conformal Flow of Metrics and the General Penrose Inequality
• Nonexistence of Solutions to the Coupled Generalized Jang Equation/Zero Divergence System
• Conformal deformations of initial data sets to the strict dominant energy condition using a spacetime Poisson equation
• Quasi-local Penrose inequalities with electric charge