发表机构
Universidade de Lisboa – UL; National Technical University of Athens – Polytechnic Campus; Niels Bohr Institute; Pennsylvania State University（里斯本大学; 雅典国立技术大学; 尼尔斯·玻尔研究所; 宾夕法尼亚州立大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文利用精确分离的扰动方程求解Kerr-Newman黑洞准正则模，通过数值基准验证其与耦合系统结果高度一致，并发现自旋标记等谱性，为研究旋转带电黑洞振铃提供实用途径。
AI 中文摘要
我们利用最近发现的引力电扰动方程的精确分离方法计算了Kerr-Newman准正则模。对于每个自旋标记$\varsigma=\pm1$，一个矩阵角向常微分方程和一个标量二阶径向常微分方程共同定义了复频率$\omega$和分离常数$\lambda$的联合谱问题。我们通过在角向极点施加正则性、在事件视界施加内行行为、在无穷远处施加外行行为来求解该问题。我们将为求解分离方程而构建的数值代码以及所得频率，与最近发表的耦合系统的谱计算结果进行了基准比较。与这些结果的比较显示，绝对差异在$10^{-10}$到$10^{-5}$量级，具体取决于黑洞参数和泛音数。我们还发现了自旋标记等谱性的数值迹象，在基本准正则模的电磁主导和引力主导扇区中均如此，即使在近极端Kerr-Newman构型下也成立。这些结果提供了数值证据，表明分离方程能够再现Kerr-Newman准正则频率，并为探索旋转带电黑洞的振铃提供了一条实用途径。
英文摘要
We compute Kerr-Newman quasinormal modes using a recently found exact separation of the gravitoelectric perturbation equations. For each spin-label $ς=\pm1$, a matrix angular ordinary differential equation and a scalar second-order radial ordinary differential equation define a joint spectral problem for the complex frequency $ω$ and separation constant $λ$. We solve this problem by imposing regularity at the angular poles, ingoing behavior at the event horizon, and outgoing behavior at infinity. We benchmark the numerical code built to solve the separated equations, and the resulting frequencies, against recently published spectral calculations of the coupled system. Comparisons with those results yield absolute differences of order $10^{-10}$ to $10^{-5}$, depending on the BH parameters and overtone number. We also find numerical hints of spin-label isospectrality in both the electromagnetic-led and gravitational-led sectors of fundamental quasinormal modes, even at near-extremal Kerr-Newman configurations. These results provide numerical evidence that the separated equations reproduce Kerr-Newman quasinormal frequencies and offer a practical route to exploring the ringdown of rotating, charged black holes.
Comments6+6 pages, 2 figures
