Instability of generalised AdS black holes and thermal field theory
Instability of generalised AdS black holes and thermal field theory
复制标题
广义AdS黑洞的不稳定性与热场理论
DOI：
--
复制
发表时间：
2003
期刊：
影响因子：
--
通讯作者：
S. Hartnoll
中科院分区：
文献类型：
--
作者：
S. Hartnoll
我们在类ads时空中研究黑洞，视界由任意正曲率爱因斯坦度规给出。在大黑洞和小黑洞的极限中找到了这类黑洞经典不稳定性的判据。大型不稳定黑洞的例子有一个玻姆度规作为视界。这些经典的不稳定大黑洞在局部热力学上是稳定的。引力不稳定性具有双重描述，例如使用AdS/CFT对应的AdS7 × S4版本。这种不稳定性对应于在弯曲背景上定义的双热场理论的临界温度。
We study black holes in AdS-like spacetimes, with the horizon given by an arbitrary positive curvature Einstein metric. A criterion for classical instability of such black holes is found in the large and small black hole limits. Examples of large unstable black holes have a Bohm metric as the horizon. These, classically unstable, large black holes are locally thermodynamically stable. The gravitational instability has a dual description, for example by using the AdS7 × S4 version of the AdS/CFT correspondence. The instability corresponds to a critical temperature of the dual thermal field theory defined on a curved background.