Proof of the Riemannian Penrose Inequality with Charge for Multiple   Black Holes
  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. 
Marcus Khuri, Gilbert Weinstein, Sumio Yamada
gr-qc math-ph math.DG math.MP