论文标题
克尔·纽曼（Kerr-Newman）的特征值排斥和准模式光谱：一项扩展研究
Eigenvalue repulsions and quasinormal mode spectra of Kerr-Newman: an extended study
论文作者
论文摘要
最近计算出了最慢的衰减率的Kerr-Newman（KN）黑洞的引力 - 电磁扰动的频谱。已经发现，KN有两个家庭$ - $ the Photon Sphere和近野族家庭$ - $的准模式（QNMS），它们显示了特征值排斥的有趣现象。尽管是两个PDE的耦合系统，但使用扰动方程是使用分析解决方案的，使用在极端kn黑色黑洞周围近马膨胀中的变量分离方法。这导致了QNM频率的分析公式，该公式为数值数据提供了极好的近似值。在本手稿中，我们提供了对原始研究中未详细介绍的这些特性的扩展研究。 This includes: 1) a full derivation of a gauge invariant system of two coupled PDEs that describes the perturbation equations \cite{Dias:2015wqa}, 2) a derivation of the eikonal frequency approximation \cite{Zimmerman:2015trm,Dias:2021yju} and its comparison with the numerical QNM data, 3) a derivation近距离频率近似\ cite {dias：2021yju}及其与数值QNM的比较，以及4）有关特征值排斥现象的更多详细信息在先前的研究中缺少。此外，我们提供了其他感兴趣的KN QNM家族的频谱，以证明它们比我们全面讨论的频谱更受阻。
The frequency spectra of the gravito-electromagnetic perturbations of the Kerr-Newman (KN) black hole with the slowest decay rate have been computed recently. It has been found that KN has two families $-$ the photon sphere and the near-horizon families $-$ of quasinormal modes (QNMs), which display the interesting phenomenon of eigenvalue repulsion. The perturbation equations, in spite of being a coupled system of two PDEs, are amenable to an analytic solution using the method of separation of variables in a near-horizon expansion around the extremal KN black hole. This leads to an analytical formula for the QNM frequencies that provides an excellent approximation to the numerical data near-extremality. In the present manuscript we provide an extended study of these properties that were not detailed in the original studies. This includes: 1) a full derivation of a gauge invariant system of two coupled PDEs that describes the perturbation equations \cite{Dias:2015wqa}, 2) a derivation of the eikonal frequency approximation \cite{Zimmerman:2015trm,Dias:2021yju} and its comparison with the numerical QNM data, 3) a derivation of the near-horizon frequency approximation \cite{Dias:2021yju} and its comparison with the numerical QNMs, and 4) more details on the phenomenon of eigenvalue repulsion (also known as \emph{level repulsion}, \emph{avoided crossing} or \emph{Wigner-Teller effect}) and a first principles understanding of it that was missing in the previous studies. Moreover, we provide the frequency spectra of other KN QNM families of interest to demonstrate that they are more damped than the ones we discuss in full detail.
