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.

37 pages; final version; to appear in J. Differential Geom

References in corpus (3)

• Lower Bounds for the Area of Black Holes in Terms of Mass, Charge, and Angular Momentum
• Extensions of the Charged Riemannian Penrose Inequality
• On the Riemannian Penrose inequality with charge and the cosmic censorship conjecture

Cited by in corpus (3)

• Extensions of the Charged Riemannian Penrose Inequality
• Reduction Arguments for Geometric Inequalities Associated With Asymptotically Hyperboloidal Slices
• Loosely trapped surface and dynamically transversely trapping surface in Einstein-Maxwell system