Lovelock black holes with a nonconstant curvature horizon
Lovelock black holes with a nonconstant curvature horizon
复制标题
具有非恒定曲率视界的洛夫洛克黑洞
DOI：
10.1103/physrevd.92.064020
复制
发表时间：
2015
期刊：
影响因子：
--
通讯作者：
Seiju Ohashi and Masato Nozawa
中科院分区：
文献类型：
--
作者：
Seiju Ohashi,Tanahashi Norihiro;Tsutomu Kobayashi and Masahide Yamaguchi;Seiju Ohashi and Masato Nozawa
本文研究了由二维洛伦兹度规和一维爱因斯坦空间的翘曲积所描述的Lovelock引力的一类维解。假设应力-能量张量的角部分与爱因斯坦度规成比例，则爱因斯坦空间的外尔曲率必须服从两种代数条件。我们提出了一些满足这些条件的精确解。我们进一步定义了与广义相对论中的Misner-Sharp质量相对应的准定域质量。结果表明，准定域质量是由Kodama通量构造的，并且满足统一第一定律和主能量条件下的单调性。利用准局部质量，我们证明了Birkhoff定理，并解决了动态黑洞的各个方面的特点是捕获视界。
This paper studies a class ofdimensional solutions to Lovelock gravity that is described by the warped product of a two-dimensional Lorentzian metric and an-dimensional Einstein space. Assuming that the angular part of the stress-energy tensor is proportional to the Einstein metric, it turns out that the Weyl curvature of an Einstein space must obey two kinds of algebraic conditions. We present some exact solutions satisfying these conditions. We further define the quasilocal mass corresponding to the Misner-Sharp mass in general relativity. It is found that the quasilocal mass is constructed out of the Kodama flux and satisfies the unified first law and the monotonicity property under the dominant energy condition. Making use of the quasilocal mass, we show Birkhoff’s theorem and address various aspects of dynamical black holes characterized by trapping horizons.