发表机构
Max Planck Institute for Physics (Werner Heisenberg Institute); Department of Particle Physics and Astrophysics, Weizmann Institute of Science; Institute for Astroparticle Physics, Karlsruhe Institute of Technology; Department of Physics, Technical University of Munich; PRISMA ++ Cluster of Excellence & Mainz Institute for Theoretical Physics, Johannes Gutenberg University（马克斯·普朗克物理研究所; 魏茨曼科学研究所粒子物理与天体物理系; 卡尔斯鲁厄理工学院高能天体物理研究所; 慕尼黑工业大学物理系; 约翰内斯·古腾堡大学PRISMA++卓越集群与美因茨理论物理研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究利用精确WKB方法分析近极值Reissner–Nordström黑洞的零阻尼模式，建立精确量子化条件并实现更高阶精度，为其他系统的零阻尼谱研究提供概念验证。
AI 中文摘要
近极值黑洞（BH）的后期振铃动力学预计由零阻尼模式（ZDMs）主导，其衰减率相对于普通准正常模式的衰减率在参数上被抑制。本文中，我们证明精确WKB方法为分析近极值Reissner–Nordström（RN）黑洞的ZDM谱提供了极为强大的框架。聚焦于在RN背景下传播的无质量中性标量模式，我们给出了由径向本征值问题导出的完整斯托克斯几何，并建立了相应的精确量子化条件（EQC）。我们对EQC中包含的沃罗什符号的解析计算，相较于先前研究实现了ZDM谱的更高阶精度，且具有系统可改进性。因此，本工作为利用精确WKB方法研究其他系统的ZDM谱提供了概念验证。
英文摘要
The late-time ringdown dynamics of near-extremal black holes (BHs) are expected to be dominated by zero-damped modes (ZDMs), whose decay rates are parametrically suppressed relative to those of ordinary quasinormal modes. In this paper, we demonstrate that exact WKB methods provide an exceptionally powerful framework for analyzing the ZDM spectrum of near-extremal Reissner--Nordström (RN) BHs. Focusing on massless, neutral scalar modes propagating on an RN background, we present the full Stokes geometry derived from the radial eigenvalue problem and establish the corresponding exact quantization condition (EQC). Our analytic computation of the Voros symbols entering the EQC achieves higher-order accuracy for the ZDM spectrum compared to previous studies and is systematically improvable. Ergo, this work serves as a proof of concept for investigations of ZDM spectra of other systems using exact WKB methods.
Comments42 pages, 11 figures
