Accepted Paper

Inserted: 14 jan 2023
Last Updated: 6 may 2023

Journal: Atti Accad. Naz. Lincei - Rend. Lincei Mat. Appl.
Year: 2023

Abstract:

We give an overview of our recent new proof of the Riemannian Penrose inequality in the case of a single black hole. The proof is based on a new monotonicity formula, holding along the level sets of the $p$--capacitary potential of the connected boundary of an asymptotically flat $3$--manifold, with nonnegative scalar curvature.

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