Journal of Differential Geometry

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

Marcus Khuri, Gilbert Weinstein, and Sumio Yamada

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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.

Note

M. Khuri acknowledges the support of NSF Grants DMS-1007156 and DMS-1308753. S. Yamada acknowledges the support of JSPS Grants 23654061 and 24340009.

Article information

Source
J. Differential Geom., Volume 106, Number 3 (2017), 451-498.

Dates
Received: 16 March 2015
First available in Project Euclid: 15 July 2017

Permanent link to this document
https://projecteuclid.org/euclid.jdg/1500084023

Digital Object Identifier
doi:10.4310/jdg/1500084023

Mathematical Reviews number (MathSciNet)
MR3680554

Zentralblatt MATH identifier
06846957

Citation

Khuri, Marcus; Weinstein, Gilbert; Yamada, Sumio. Proof of the Riemannian Penrose inequality with charge for multiple black holes. J. Differential Geom. 106 (2017), no. 3, 451--498. doi:10.4310/jdg/1500084023. https://projecteuclid.org/euclid.jdg/1500084023


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