AI 中文总结
研究缓慢旋转的4阶导数修正克尔-纽曼黑洞的线性引力电磁扰动，用超越KN几何的微扰法推导方程，扩展渐近迭代方法计算准正则频率，发现宇称扇区有等谱性破坏，还对其进行参数化以扩大适用性。
AI 中文摘要
我们研究了一个缓慢旋转的4阶导数修正克尔-纽曼（KN）黑洞的线性引力电磁扰动，使用了一种超越KN几何的微扰方法，在角动量上到一阶，在高阶导数参数ci（i = 1,2...8）上到一阶，在黑洞电荷上到14阶。我们推导了轴向和极向扰动扇区的修正耦合径向主方程。我们扩展了渐近迭代方法（AIM）以应用于耦合二阶常微分方程（ODEs），并使用它来计算该黑洞的准正则频率（QNFs）。结果表明，由c6、c7和c8引起的两个宇称扇区之间存在明显的等谱性破坏，特别是对于高电荷情况。此外，我们通过解析拟合程序对QNFs进行参数化以获得更广泛的适用性。
英文摘要
We study linear gravito-electromagnetic perturbations of a slowly rotating 4-derivative corrected Kerr-Newman (KN) black hole (BH), using a perturbative approach beyond the KN geometry up to first order in angular momentum, first order in the higher-derivative parameters ci, i = 1,2...8, and 14th order in the BH electric charge. We derive the corrected coupled radial master equations for both axial and polar perturbation sectors. We extend the asymptotic iteration method (AIM) to apply to coupled second-order ordinary differential equations (ODEs) and employ it to compute the quasinormal frequencies (QNFs) of the system.Our results show pronounced isospectrality breakings between the two parity sectors, induced by c6,c7 and c8,particularly for high charge BH.This indicate the equations for the two parity sectors lose the transformation symmetry that relates them in the KN case.The very tiny frequency shifts induced by c4 support the interpretation that this parameter represents a redundant degree of freedom in the effective field theory.Finally, we parameterize the QNFs via a analytical fitting procedure for broader applicability.
