Proof of the Riemannian Penrose inequality with charge for multiple black holes

Marcus Khuri; Gilbert Weinstein; Sumio Yamada

doi:10.4310/jdg/1500084023

Proof of the Riemannian Penrose inequality with charge for multiple black holes

Marcus Khuri, Gilbert Weinstein, Sumio Yamada

Department of Mathematics

Ariel University

Research output: Contribution to journal › Article › peer-review

Abstract

We present a proof of the Riemannian Penrose inequality with charge in the context of asymptotically flat initial data sets for the Einstein-Maxwell equations, having possibly multiple black holes with no charged matter outside the horizon, and satisfying the relevant dominant energy condition. The proof is based on a generalization of Hubert Bray's conformal flow of metrics adapted to this setting.

Original language	English
Pages (from-to)	451-498
Number of pages	48
Journal	Journal of Differential Geometry
Volume	106
Issue number	3
DOIs	https://doi.org/10.4310/jdg/1500084023
State	Published - Jul 2017

All Science Journal Classification (ASJC) codes

Analysis
Algebra and Number Theory
Geometry and Topology

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10.4310/jdg/1500084023

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title = "Proof of the Riemannian Penrose inequality with charge for multiple black holes",

abstract = "We present a proof of the Riemannian Penrose inequality with charge in the context of asymptotically flat initial data sets for the Einstein-Maxwell equations, having possibly multiple black holes with no charged matter outside the horizon, and satisfying the relevant dominant energy condition. The proof is based on a generalization of Hubert Bray's conformal flow of metrics adapted to this setting.",

author = "Marcus Khuri and Gilbert Weinstein and Sumio Yamada",

note = "Funding Information: M. Khuri acknowledges the support of NSF Grants DMS-1007156 and DMS-1308753. S. Yamada acknowledges the support of JSPS Grants 23654061 and 24340009.",

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AB - We present a proof of the Riemannian Penrose inequality with charge in the context of asymptotically flat initial data sets for the Einstein-Maxwell equations, having possibly multiple black holes with no charged matter outside the horizon, and satisfying the relevant dominant energy condition. The proof is based on a generalization of Hubert Bray's conformal flow of metrics adapted to this setting.

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Proof of the Riemannian Penrose inequality with charge for multiple black holes

Abstract

All Science Journal Classification (ASJC) codes

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