发表机构
Institute for Cosmic Ray Research, The University of Tokyo; Perimeter Institute for Theoretical Physics; Department of Physics, Tokyo Metropolitan University; Research Center for the Early Universe (RESCEU), Graduate School of Science, The University of Tokyo（宇宙射线研究所，东京大学; 理论物理前沿研究所; 东京都立大学物理系; 宇宙早期研究中心（RESCEU），东京大学理学研究科）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究通过精确分析证明，在克尔黑洞铃宕中，源诱导的视界模极点被无限松原零点塔完全消除，从而否定了近视界“直接波”的晚期存留。此发现解决了关于QNM滤波波形振荡特征的争议，并确认了鞍点近似在视界附近的失效。
AI 中文摘要
铃宕引力波通过准正则模（QNMs）探测黑洞时空。近期研究在QNM滤波波形中报告了振荡特征，并引发了关于它们是否代表近视界“直接波”的相互矛盾的解释。通过重新审视一个粒子坠入克尔黑洞的过程，我们证明了支撑该解释的鞍点近似在视界附近失效。我们的精确分析表明，每个源诱导的视界模极点都被一个无限的松原零点塔所消除，这与轨道和黑洞参数无关。该顺序屏蔽的前四个阶段也通过时域数值积分得到确认。因此，在近视界微扰框架内，源诱导的视界模信号在晚期不会存留。
英文摘要
Ringdown gravitational waves probe black hole spacetimes via quasinormal modes (QNMs). Recent studies have reported oscillatory features in QNM-filtered waveforms, and have led to conflicting interpretations as to whether they represent a near-horizon "direct wave". Reexamining a particle plunging into a Kerr black hole, we show that the saddle-point approximation underlying the proposed interpretation fails near the horizon. Our exact analysis reveals that every source-induced horizon-mode pole is canceled by an infinite tower of Matsubara zeros, independently of orbital and black-hole parameters. The first four stages of this sequential screening are also confirmed by time-domain numerical integration. Thus, within the near-horizon perturbative framework, source-induced horizon-mode signals do not survive at late times.
Comments6 pages, 2 figures
