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Kerr-Newman微扰的电荷正则表述与辐射振幅

Charge-regular formulation and radiative amplitudes of Kerr-Newman perturbations

Hayato Motohashi

arXiv 2610.10529首次发表:更新:

发表机构

Tokyo Metropolitan University(东京都立大学)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

该文建立了Kerr-Newman微扰的电荷正则表述,推导出正则角向与径向系统及有限电荷形变的Teukolsky方程,并给出非零实频率下出射引力与电磁辐射振幅及能量通量。

AI 中文摘要

我们建立了分离的Kerr-Newman微扰的电荷正则表述,以及从主解到物理辐射场的显式映射。我们推导了正则角向和径向一阶系统及其二阶约化,其中包含自旋±1和±2 Teukolsky方程的有限电荷形变。场和边界归一化恢复了标准Kerr约定,同时考虑了无穷远处非均匀的零电荷极限。对于具有通常剥离行为的物理Einstein-Maxwell微扰,我们在非零实频率下获得了显式的出射引力波和电磁波振幅及能量通量。由此得到的有限电荷辐射组成比仅依赖于正则角函数,与径向激发无关。

英文摘要

We establish a charge-regular formulation of separated Kerr--Newman perturbations and an explicit map from master solutions to physical radiative fields. We derive regular angular and radial first-order systems and their second-order reductions, with finite-charge deformations of the spin $\pm1$ and $\pm2$ Teukolsky equations. The field and boundary normalizations recover the standard Kerr conventions while accounting for the nonuniform zero-charge limit at infinity. For physical Einstein--Maxwell perturbations with the usual peeling behavior, we obtain explicit outgoing gravitational and electromagnetic amplitudes and energy fluxes at nonzero real frequency. The resulting finite-charge radiation-composition ratios depend only on the regular angular functions, independently of the radial excitation.

Comments31 pages, 1 table

论文原文

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