A lower bound for the mass of axisymmetric connected black hole data sets
General Relativity and Quantum Cosmology
2011-05-09 v1
Abstract
We present a generalisation 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, connected axisymmetric black hole data sets in terms of the mass of a reference Schwarzschild metric.
Keywords
Cite
@article{arxiv.1102.1175,
title = {A lower bound for the mass of axisymmetric connected black hole data sets},
author = {Piotr T. Chruściel and Luc Nguyen},
journal= {arXiv preprint arXiv:1102.1175},
year = {2011}
}