Extensions of the Charged Riemannian Penrose Inequality
  In this paper we investigate the extension of the charged Riemannian Penrose inequality to the case where charges are present outside the horizon. We prove a positive result when the charge densities are compactly supported, and present a counterexample when the charges extend to infinity. We also discuss additional extensions to other matter models. 
Marcus Khuri, Gilbert Weinstein and Sumio Yamada
gr-qc math-ph math.DG math.MP