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arXiv · 2205.11642

Riemannian Penrose inequality via Nonlinear Potential Theory

Virginia Agostiniani·Carlo Mantegazza·Lorenzo Mazzieri·Francesca Oronzio
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Abstract

We provide a new proof of the Riemannian Penrose inequality for time-symmetric asymptotically flat initial data with a single black-hole horizon. The proof proceeds through a newly established monotonicity formula holding along the level sets of the $p$-capacitary potential of the horizon boundary, in any asymptotically flat $3$-manifold with nonnegative scalar curvature.

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Virginia Agostiniani, Carlo Mantegazza, Lorenzo Mazzieri, Francesca Oronzio. 2022-05-23. Riemannian Penrose inequality via Nonlinear Potential Theory. https://arxiv.org/abs/2205.11642

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