We provide a new proof of the Riemannian Penrose inequality for time–symmetric asymptotically flat initial data with a single black–hole horizon. The proof proceeds through a newly established 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.
Riemannian Penrose inequality via nonlinear potential theory / Agostiniani, V., Mantegazza, C., Mazzieri, L., Oronzio, F.. - In: ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA. CLASSE DI SCIENZE. - ISSN 2036-2145. - 2025:27(2025), pp. 1-27. [10.2422/2036-2145.202409_028]
Riemannian Penrose inequality via nonlinear potential theory
Agostiniani, Virginia;Mazzieri, Lorenzo;
2025-01-01
Abstract
We provide a new proof of the Riemannian Penrose inequality for time–symmetric asymptotically flat initial data with a single black–hole horizon. The proof proceeds through a newly established 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.File in questo prodotto:
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