Lovelock black holes with maximally symmetric horizons

被引:52
|
作者
Maeda, Hideki [1 ]
Willison, Steven [1 ]
Ray, Sourya [1 ]
机构
[1] Ctr Estudios Cient, Valdivia 1469, Chile
关键词
EQUATIONS; THERMODYNAMICS; GRAVITY; ENTROPY; ENERGY;
D O I
10.1088/0264-9381/28/16/165005
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We investigate some properties of n(>= 4)-dimensional spacetimes having symmetries corresponding to the isometries of an (n-2)-dimensional maximally symmetric space in Lovelock gravity under the null or dominant energy condition. The well-posedness of the generalized Misner-Sharp quasilocal mass proposed in the past study is shown. Using this quasi-local mass, we clarify the basic properties of the dynamical black holes defined by a future outer trapping horizon under certain assumptions on the Lovelock coupling constants. The C2 vacuum solutions are classified into four types: (i) Schwarzschild-Tangherlini-type solution; (ii) Nariai-type solution; (iii) special degenerate vacuum solution; and (iv) exceptional vacuum solution. The conditions for the realization of the last two solutions are clarified. The Schwarzschild-Tangherlini-type solution is studied in detail. We prove the first law of blackhole thermodynamics and present the expressions for the heat capacity and the free energy.
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收藏
页数:36
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