Some comments on gravitational entropy and the inverse mean curvature flow
Some comments on gravitational entropy and the inverse mean curvature flow
复制标题
关于引力熵和反平均曲率流的一些评论
DOI：
10.1088/0264-9381/16/6/302
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发表时间：
1998
影响因子：
3.5
通讯作者：
G. Gibbons
中科院分区：
文献类型：
--
作者：
G. Gibbons
The Geroch-Wald-Jang-Huisken-Ilmanen approach to the positive energy problem may be extended to give a negative lower bound for the mass of asymptotically anti-de Sitter spacetimes containing horizons with exotic topologies having ends or infinities of the form g × , in terms of the cosmological constant. We also show how the method gives a lower bound for the mass of time-symmetric initial data sets for black holes with vectors and scalars in terms of the mass, |Z(Q,P)| of the double-extreme black hole with the same charges. I also give a lower bound for the area of an apparent horizon, and hence a lower bound for the entropy in terms of the same function |Z(Q,P)|. This shows that the so-called attractor behaviour extends beyond the static spherically symmetric case. and underscores the general importance of the function |Z(Q,P)|. There are hints that higher-dimensional generalizations may involve the Yamabe conjectures.
