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Quasi-Local Penrose Inequalities with Electric Charge
Department of Mathematics, University of California , Riverside 92507, USA.
Matematiska Institutionen, Uppsala Universitet , 751 06 Uppsala, Sweden.ORCID iD: 0000-0001-9536-9908
2021 (English)In: International mathematics research notices, ISSN 1073-7928, E-ISSN 1687-0247, Vol. 2022, no 22, p. 17333-17362Article in journal (Refereed) Published
Abstract [en]

The Riemannian Penrose inequality is a remarkable geometric inequality between the ADM mass of an asymptotically flat manifold with nonnegative scalar curvature and the area of its outermost minimal surface. A version of the Riemannian Penrose inequality has also been established for the Einstein–Maxwell equations where the lower bound on mass depends also on electric charge, a charged Riemannian Penrose inequality. Here, we establish some quasi-local charged Penrose inequalities for surfaces isometric to closed surfaces in a suitable Reissner–Nordström manifold, which serves as a reference manifold for the quasi-local mass. In the case where the reference manifold has zero mass and nonzero electric charge, the lower bound on quasi-local mass is exactly the lower bound on the ADM mass given by the charged Penrose inequality.

Place, publisher, year, edition, pages
Oxford University Press, 2021. Vol. 2022, no 22, p. 17333-17362
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Geometry
Identifiers
URN: urn:nbn:se:ltu:diva-95218DOI: 10.1093/imrn/rnab215ISI: 000756410100001Scopus ID: 2-s2.0-85157966096OAI: oai:DiVA.org:ltu-95218DiVA, id: diva2:1725207
Available from: 2023-01-10 Created: 2023-01-10 Last updated: 2024-03-07Bibliographically approved

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McCormick, Stephen

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