Stationary holographic plasma quenches and numerical methods for non-killing horizons.
Stationary holographic plasma quenches and numerical methods for non-killing horizons.
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DOI：
10.1103/physrevlett.110.171602
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发表时间：
2012-12
影响因子：
8.6
通讯作者：
P. Figueras;T. Wiseman
中科院分区：
文献类型：
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作者：
P. Figueras;T. Wiseman
我们探索使用调和爱因斯坦方程来以数值方式找到静止黑洞，其中问题是在延伸到黑洞内部的传入切片上提出的。除了度量的平滑度之外，不需要地平线处的任何边界条件，该方法可以应用于非杀戮的地平线。作为一个重要的例证，我们发现黑洞通过 AdS-CFT 描述了流经静态时空的与时间无关的 CFT 等离子体，该时空在流动的过去和未来中渐近于明可夫斯基，其间具有变化的空间几何形状。这些是第一个没有杀伤视界的静止黑洞的非微扰例子。当 CFT 时空缓慢变化时，由重力导出的 CFT 应力张量可以通过粘性流体动力学得到很好的描述。对于快速变化则不然，解决方案是动态猝灭的静态类似物，等离子体突然失去平衡。我们发现证据表明这些流动因足够强的淬灭而变得不稳定，并推测这种不稳定可能是湍流。
We explore use of the harmonic Einstein equations to numerically find stationary black holes where the problem is posed on an ingoing slice that extends into the interior of the black hole. Requiring no boundary conditions at the horizon beyond smoothness of the metric, this method may be applied for horizons that are not Killing. As a nontrivial illustration we find black holes which, via AdS-CFT, describe a time-independent CFT plasma flowing through a static spacetime which asymptotes to Minkowski in the flow's past and future, with a varying spatial geometry in between. These are the first nonperturbative examples of stationary black holes which do not have Killing horizons. When the CFT spacetime slowly varies, the CFT stress tensor derived from gravity is well described by viscous hydrodynamics. For fast variation it is not, and the solutions are stationary analogs of dynamical quenches, with the plasma being suddenly driven out of equilibrium. We find evidence these flows become unstable for sufficiently strong quenches, and speculate the instability may be turbulent.