Holographic Interpretation of Acoustic Black Holes
Holographic Interpretation of Acoustic Black Holes
复制标题
声学黑洞的全息解释
DOI：
10.1103/physrevd.92.084052
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发表时间：
2015-08
期刊：
影响因子：
--
通讯作者：
Yun-Long Zhang
中科院分区：
文献类型：
--
作者：
Jia-Rui Sun;Yu Tian;Xiao-Ning Wu;Yun-Long Zhang
为了寻找流体中常见声学黑洞的全息描述，我们构造了一个形成于$d$维流体中的声学黑洞，该流体位于渐进AdS${d+1}$时空中中性黑膜的类时截止面上，声学黑洞的体引力对偶呈现在流体动力学涨落的一阶。此外，还证明了声学黑洞视界的类Hawking温度与体中真实的AdS黑膜的Hawking温度有关，并提取了声学黑洞中声子散射与体扰动AdS黑膜中声道准正规模传播之间的对偶性.我们指出，流体中出现的声黑洞，最初是作为模拟真实的黑洞的Hawking辐射的类比模型而提出的，它不仅是一个类比，而且在流体/引力对偶性的精神下，它确实可以用来描述真实的AdS黑洞的特殊性质.
With the attempt to find the holographic description of usual acoustic black holes in fluid, we construct an acoustic black hole formed in the $d$-dimensional fluid located at the timelike cutoff surface of a neutral black brane in asymptotically AdS$_{d+1}$ spacetime, the bulk gravitational dual of the acoustic black hole is presented at first order of the hydrodynamic fluctuation. Moreover, the Hawking-like temperature of the acoustic black hole horizon is showed to be connected to the Hawking temperature of the real AdS black brane in the bulk, and the duality between the phonon scattering in the acoustic black hole and the sound channel quasinormal mode propagating in the bulk perturbed AdS black brane is extracted. We thus point out that, the acoustic black hole appeared in fluid, which was originally proposed as an analogous model to simulate Hawking radiation of the real black hole, is not merely an analogy, it can indeed be used to describe specific properties of the real AdS black holes, in the spirits of the fluid/gravity duality.
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