The Positive Mass Theorem for Multiple Rotating Charged Black Holes

In this talk I will present a lower bound for the ADM mass given in terms
of the angular momenta and charges of black holes present in axisymmetric
initial data sets for the Einstein-Maxwell equations. This generalizes the
mass-angular momentum-charge inequality obtained by Chrusciel and Costa to
the case of multiple black holes. We also weaken the hypotheses used in the
proof of this result for single black holes, and establish the associated
rigidity statement. The proof uses an existence result for harmonic maps
with prescribed singularities.

This is joint work with Marcus Khuri

http://arxiv.org/abs/1502.06290