A Holographic Argument for the Penrose Inequality in AdS

Abstract

We give a holographic argument in favor of the AdS Penrose inequality, which conjectures a lower bound on the total mass in terms of the area of apparent horizons. This inequality is often viewed as a test of cosmic censorship. We further find a connection between the area law for apparent horizons and the Penrose inequality. Finally, we show that the argument also applies to solutions with charge, resulting in a charged Penrose inequality in AdS.

arXiv comment15 pages, 3 figures; v2: reference and clarification added

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• Holography Abhors Visible Trapped Surfaces
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• An Introduction to the Weak Gravity Conjecture
• Outer entropy = Bartnik-Bray inner mass, and the gravitational ant conjecture
• On Penrose inequality in holography
• Cosmic censorship hypothesis and entropy bound on black holes in a canonical ensemble
• The Penrose inequality in spherical symmetry with charge and in Gauss-Bonnet gravity
• Holographic Shannon Entropy: The Outer Entropy of Entanglement Wedges