Non-linear perturbation of black branes at large D
Non-linear perturbation of black branes at large D
复制标题
DOI：
10.1007/jhep06(2017)033
复制
发表时间：
2017-05
影响因子：
5.4
通讯作者：
U. Miyamoto
中科院分区：
文献类型：
--
作者：
U. Miyamoto
描述Minkowski和AdS背景下黑膜动力学的Einstein方程最近被改写为大维极限下的耦合扩散方程的形式。利用文献中的结果，我们在时域中建立了黑膜的高阶微扰理论，并给出了任意初始条件下解的一般形式。为了说明的目的，直到一阶或二阶的解被明确地写下来，对于几种初始条件，如高斯波包，冲击波，而不是一般的叠加正弦波。这些可能是描述时域中黑膜视界非平凡演化的第一个例子。特别是，我们学习黑膜动力学的一些有趣的方面，如Gregory-Laflamme（GL）不稳定性和非平衡稳态（NESS）。这里提出的形式主义将适用于各种黑膜及其全息对偶场论的分析。
The Einstein equations describing the black-brane dynamics both in Minkowski and AdS background were recently recast in the form of coupled diffusion equations in the large-D (imension) limit. Using such results in the literature, we formulate a higher-order perturbation theory of black branes in time domain and present the general form of solutions for arbitrary initial conditions. For illustrative purposes, the solutions up to the first or second order are explicitly written down for several kind of initial conditions, such as a Gaussian wave packet, shock wave, and rather general superposed sinusoidal waves. These could be the first examples describing the non-trivial evolution of black-brane horizons in time domain. In particular, we learn some interesting aspects of black-brane dynamics such as the Gregory-Laflamme (GL) instability and non-equilibrium steady state (NESS). The formalism presented here would be applicable to the analysis of various black branes and their holographically dual field theories.