Islands of stability and recurrence times in AdS
Islands of stability and recurrence times in AdS
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AdS 中的稳定性孤岛和重复时间
DOI：
10.1103/physrevd.92.084001
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发表时间：
2015
影响因子：
5
通讯作者：
S. Liebling
中科院分区：
文献类型：
--
作者：
Stephen R. Green;Antoine Maillard;L. Lehner;S. Liebling
TTF方程的一类拟周期(QP)解，并分析了它们的稳定性。我们证明了存在几类稳定到线性阶的QP解，并且我们认为这些解代表了TTF中的稳定孤岛。我们提取关于QP解的小振荡的本征模，并用它们来预测全(非TTF)系统中一般非折叠初始数据的近似重现时间。或者，当足够的能量被驱动到高频模式时，就像远离QP解的初始数据所发生的那样，TTF描述作为对整个系统的近似而崩溃。根据整个系统的高阶动力学，这通常是黑洞即将崩塌的信号。
a class of quasi-periodic (QP) solutions to the TTF equations, and in this work we analyze their stability. We show that there exist several families of QP solutions that are stable to linear order, and we argue that these solutions represent islands of stability in TTF. We extract the eigenmodes of small oscillations about QP solutions, and we use them to predict approximate recurrence times for generic non-collapsing initial data in the full (non-TTF) system. Alternatively, when sucient energy is driven to high-frequency modes, as occurs for initial data far from a QP solution, the TTF description breaks down as an approximation to the full system. Depending on the higher order dynamics of the full system, this often signals an imminent collapse to a black hole.