Riemannian Penrose inequality via Nonlinear Potential Theory

Autor:	VIRGINIA AGOSTINIANI, CARLO MANTEGAZZA, LORENZO MAZZIERI, FRANCESCA ORONZIO
Přispěvatelé:	Agostiniani, Virginia, Mantegazza, Carlo Maria, Mazzieri, Lorenzo, Oronzio, Francesca
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	Mathematics - Differential Geometry General Relativity and Quantum Cosmology Mathematics - Analysis of PDEs Differential Geometry (math.DG) 53C21 31C12 31C15 53Z05 FOS: Mathematics Mathematics::Differential Geometry Analysis of PDEs (math.AP)
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cca43268e44b9989a46e7a1b1da1a024 http://arxiv.org/abs/2205.11642 Zobrazit plný text záznamu