Quasi-local mass and the existence of horizons
Differential Geometry
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
In this paper, we obtain lower bounds for the Brown-York quasilocal mass and the Bartnik quasilocal mass for compact three manifolds with smooth boundaries. As a consequence, we derive sufficient conditions for the existence of horizons for a certain class of compact manifolds with boundary and some asymptotically flat complete manifolds.The method is based on analyzing Hawking mass and inverse mean curvature flow.
Cite
@article{arxiv.math/0511398,
title = {Quasi-local mass and the existence of horizons},
author = {Yuguang Shi and Luen-Fai Tam},
journal= {arXiv preprint arXiv:math/0511398},
year = {2007}
}