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.

15 pages, 3 figures; v2: reference and clarification added

References in corpus (5)

• Deriving covariant holographic entanglement
• Present status of the Penrose inequality
• Non-equilibrium dynamics and $Ad{S}_4$ Robinson-Trautman
• On the Penrose inequality in anti-deSitter space
• Outer Entropy and Quasilocal Energy

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• An Introduction to the Weak Gravity Conjecture
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• On Penrose inequality in holography
• The Penrose inequality in spherical symmetry with charge and in Gauss-Bonnet gravity
• Holographic Shannon Entropy: The Outer Entropy of Entanglement Wedges