准定域质量与视界的存在性
Quasi-local mass and the existence of horizons
摘要:
本文给出了具有光滑边界的紧致三流形的Brown-York拟局部质量和Bartnik拟局部质量的下界.基于Hawking质量和逆中曲率流的分析,我们得到了一类带边界紧致流形和渐近平坦完备流形的视界存在的充分条件.
英文摘要:
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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