Quasinormal modes of AdS black holes and the approach to thermal equilibrium
Quasinormal modes of AdS black holes and the approach to thermal equilibrium
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DOI：
10.1103/physrevd.62.024027
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发表时间：
1999-09
影响因子：
5
通讯作者：
G. Horowitz;V. Hubeny
中科院分区：
文献类型：
--
作者：
G. Horowitz;V. Hubeny
研究了Schwarzschildanti de Sitter黑洞外标量场的衰变.这是通过计算与拟正规模式相关的复频率来确定的。即使在小黑洞的极限下，与渐近平坦的情况也有质的区别。特别地，对于给定的角度依赖性，衰减总是指数的-在后期没有幂律尾部。根据AdS/CFT对应，大黑洞对应于场论中的近似热态，标量场的衰减对应于该态的微扰的衰减。这样就得到了接近热平衡的时间尺度。我们计算这些时间尺度的强耦合场理论在三，四，和六个维度是对偶的弦理论在渐近AdS时空。
We investigate the decay of a scalar field outside a Schwarzschild anti de Sitter black hole. This is determined by computing the complex frequencies associated with quasinormal modes. There are qualitative differences from the asymptotically flat case, even in the limit of small black holes. In particular, for a given angular dependence, the decay is always exponential - there are no power law tails at late times. In terms of the AdS/CFT correspondence, a large black hole corresponds to an approximately thermal state in the field theory, and the decay of the scalar field corresponds to the decay of a perturbation of this state. Thus one obtains the timescale for the approach to thermal equilibrium. We compute these timescales for the strongly coupled field theories in three, four, and six dimensions which are dual to string theory in asymptotically AdS spacetimes.