A lower bound for the mass of axisymmetric connected black hole data sets

作者：Chrusciel Piotr T^*; Luc Nguyen

来源：Classical and Quantum Gravity, 2011, 28(12): 125001.

DOI：10.1088/0264-9381/28/12/125001

We present a generalization of the Brill-type proof of positivity of mass for axisymmetric initial data to initial data sets with black hole boundaries. The argument leads to a strictly positive lower bound for the mass of simply connected and connected axisymmetric black hole data sets in terms of the mass of a reference Schwarzschild metric.

• 出版日期2011-6-21