On the Penrose inequality for charged black holes

Abstract

In arXiv:0905.2622v1 and arXiv:0910.4785v1, Bray and Khuri outlined an\napproach to prove the Penrose inequality for general initial data sets of the\nEinstein equations. In this paper we extend this approach so that it may be\napplied to a charged version of the Penrose inequality. Moreover, assuming that\nthe initial data is time symmetric, we prove the rigidity statement in the case\nof equality for the charged Penrose inequality, a result which seems to be\nabsent from the literature. A new quasi-local mass, tailored to charged initial\ndata sets is also introduced, and used in the proof.\n