Pole-skipping of gravitational waves in the backgrounds of four-dimensional massive black holes
Pole-skipping of gravitational waves in the backgrounds of four-dimensional massive black holes
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DOI：
10.1140/epjc/s10052-023-12273-5
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发表时间：
2023-03
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影响因子：
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通讯作者：
S. Grozdanov;Mile Vrbica
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文献类型：
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作者：
S. Grozdanov;Mile Vrbica
极点跳跃是引力波在黑洞视界的行为所决定的一种性质。它源于无法明确地施加传入边界条件在地平线上的一个无限离散的傅立叶模式。当存在这样的描述时，根据双全息（AdS/CFT）相关函数（在这些特殊点处取“0/0”值）来最好地理解这种现象。在这项工作中，我们纯粹从经典引力的角度来研究4d大质量黑洞几何中的跳极细节，这些黑洞具有平坦的、球形的和双曲的视界，并且具有任意的宇宙学常数。我们表明，极点跳跃点自然分为两类：代数特殊点和一组极点跳跃点，是共同的偶数和奇数通道的扰动。我们的分析利用和推广（任意最大对称视界拓扑和宇宙常数）的“可积”结构的达布变换，其中涉及的主场方程描述的引力扰动的演变在两个通道。最后，我们提供了一些特殊情况下的新见解：球形黑洞，渐近Anti-de Sitter黑膜和极点跳跃在宇宙视界de Sitter空间。
Pole-skipping is a property of gravitational waves dictated by their behaviour at horizons of black holes. It stems from the inability to unambiguously impose ingoing boundary conditions at the horizon at an infinite discrete set of Fourier modes. The phenomenon has been best understood, when such a description exists, in terms of dual holographic (AdS/CFT) correlation functions that take the value of ‘0/0’ at these special points. In this work, we investigate details of pole-skipping purely from the point of view of classical gravity in 4dmassive black hole geometries with flat, spherical and hyperbolic horizons, and with an arbitrary cosmological constant. We show that pole-skipping points naturally fall into two categories: the algebraically special points and a set of pole-skipping points that is common to the even and odd channels of perturbations. Our analysis utilises and generalises (to arbitrary maximally symmetric horizon topology and cosmological constant) the ‘integrable’ structure of the Darboux transformations, which relate the master field equations that describe the evolution of gravitational perturbations in the two channels. Finally, we provide new insights into a number of special cases: spherical black holes, asymptotically Anti-de Sitter black branes and pole-skipping at the cosmological horizon in de Sitter space.