Accepted Paper

Inserted: 23 may 2022
Last Updated: 23 may 2025

Journal: Ann. Sc. Norm. Super. Pisa Cl. Sci.
Year: 2025

Abstract:

We provide a new proof of the Riemannian Penrose inequality by means of a 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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