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arXiv · 1903.00555

A Holographic Argument for the Penrose Inequality in AdS

Netta Engelhardt·Gary T. Horowitz
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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.

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Netta Engelhardt, Gary T. Horowitz. 2019-03-01. A Holographic Argument for the Penrose Inequality in AdS. https://doi.org/10.1103/physrevd.99.126009

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