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Quasi-local mass and the existence of horizons

Yuguang Shi·Luen-Fai Tam
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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.

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Yuguang Shi, Luen-Fai Tam. 2005-11-16. Quasi-local mass and the existence of horizons. https://arxiv.org/abs/math/0511398

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