Calculus of Variations and Geometric Measure Theory

V. Agostiniani - C. Mantegazza - L. Mazzieri - F. Oronzio

A new proof of the Riemannian Penrose inequality

created by oronzio on 14 Jan 2023

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Inserted: 14 jan 2023
Last Updated: 14 jan 2023

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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