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Extensions of the Charged Riemannian Penrose Inequality

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arxiv 1410.5027 v2 pith:J5OJ5VXH submitted 2014-10-19 gr-qc math-phmath.DGmath.MP

Marcus Khuri , Gilbert Weinstein , Sumio Yamada This is my paper · ORCID
classification gr-qcmath-phmath.DGmath.MP
keywords chargedchargesextensionsinequalitypenroseriemannianwhenadditional
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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.

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    In spherically symmetric Einstein-scalar gravity with conformally invariant boundary conditions, the AdS Penrose inequality holds exactly when a positive mass theorem holds, ruling out neutral, non-rotating holographi...

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