JournalsrlmVol. 34, No. 3pp. 715–726

A new proof of the Riemannian Penrose inequality

  • Virginia Agostiniani

    Università di Trento, Povo, Italy

  • Carlo Mantegazza

    Università di Napoli Federico II, Italy

  • Lorenzo Mazzieri

    Università di Trento, Povolo, Italy

  • Francesca Oronzio

    Sapienza Università di Roma, Italy
A new proof of the Riemannian Penrose inequality cover
Download PDF

This article is published open access under our Subscribe to Open model.

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 -capacitary potential of the connected boundary of an asymptotically flat -manifold, with nonnegative scalar curvature.

Cite this article

Virginia Agostiniani, Carlo Mantegazza, Lorenzo Mazzieri, Francesca Oronzio, A new proof of the Riemannian Penrose inequality. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 34 (2023), no. 3, pp. 715–726

DOI 10.4171/RLM/1024