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.
A new proof of the Riemannian Penrose inequality / Agostiniani, Virginia; Mantegazza, Carlo; Mazzieri, Lorenzo; Oronzio, Francesca. - In: ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI. - ISSN 1120-6330. - 34:3(2023), pp. 715-726. [10.4171/rlm/1024]
A new proof of the Riemannian Penrose inequality
Agostiniani, Virginia;Mantegazza, Carlo;Mazzieri, Lorenzo;Oronzio, Francesca
2023-01-01
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.File in questo prodotto:
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