A Holographic Argument for the Penrose Inequality in AdS
High Energy Physics - Theory
2019-06-19 v2 General Relativity and Quantum Cosmology
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.
Cite
@article{arxiv.1903.00555,
title = {A Holographic Argument for the Penrose Inequality in AdS},
author = {Netta Engelhardt and Gary T. Horowitz},
journal= {arXiv preprint arXiv:1903.00555},
year = {2019}
}
Comments
15 pages, 3 figures; v2: reference and clarification added