AI 中文总结
研究克尔-纽曼黑洞大质量标量微扰的(\ell,m)=(1,1)准正则模谱，识别特殊线与点，通过传输谱分析几何相位，揭示简并与谱分支关系，推导极端极限下零阻尼模式频率解析表达式。
AI 中文摘要
我们研究克尔-纽曼黑洞的大质量标量微扰，重点关注近极端情况下的(\ell,m)=(1,1)准正则模谱。我们识别出一系列特殊线，此时泛音频率简并，还有无质量场的相应特殊点序列。通过在参数空间中绕闭环传输谱并检查准正则模频率的排列来分析与这些特殊点相关的几何相位。还表明这些简并与谱分支为零阻尼和阻尼模式密切相关，并推导了极端极限下零阻尼模式频率的解析表达式。
英文摘要
We investigate massive scalar perturbations of Kerr-Newman black holes, focusing on the $(\ell,m) = (1,1)$ quasinormal mode spectrum in the near-extremal regime. We identify a sequence of exceptional lines, at which overtone frequencies become degenerate, together with a corresponding sequence of exceptional points for massless fields. We analyze the geometric phases associated with these exceptional points by transporting the spectrum around closed loops in parameter space and examining the resulting permutation of quasinormal mode frequencies. We further show that these degeneracies are closely related to the branching of the spectrum into zero-damping and damped modes, and derive an analytic expression for the frequencies of the zero-damping modes in the extremal limit.
Commentsv1: 14 pages, 6 figures, 1 table
