The fluid/gravity correspondence: a new perspective on the membrane paradigm
The fluid/gravity correspondence: a new perspective on the membrane paradigm
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流体/重力对应：膜范式的新视角
DOI：
10.1088/0264-9381/28/11/114007
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发表时间：
2010
影响因子：
3.5
通讯作者：
V. Hubeny
中科院分区：
文献类型：
--
作者：
V. Hubeny
本文概述了最近制定的流体/重力对应，这是规范/重力对偶的背景下发展起来的。在数学上，它假定爱因斯坦方程（具有负宇宙常数）在d + 1维中捕获d维中的（广义）Navier-Stokes方程。给定一个任意的流体动力学解，我们可以系统地构造出一个相应的渐近AdS黑洞时空，它具有一个规则的视界，其性质模仿流体流动的性质。除了概述这种结构，我们描述了它的一些应用和影响。
This paper gives an overview of the recently-formulated fluid/gravity correspondence, which was developed in the context of gauge/gravity duality. Mathematically, it posits that Einstein's equations (with negative cosmological constant) in d + 1 dimensions capture the (generalized) Navier–Stokes equations in d dimensions. Given an arbitrary fluid dynamical solution, we can systematically construct a corresponding asymptotically AdS black hole spacetime with a regular horizon whose properties mimic that of the fluid flow. Apart from an overview of this construction, we describe some of its applications and implications.