膨胀-欧拉-海森堡黑洞的II型微扰准正则模
Quasinormal modes of type II-perturbation for dilaton-Euler-Heisenberg black holes
- Yangzhou University（扬州大学）
- Sogang University（西江大学）
- Jiangxi Normal University（江西师范大学）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本文研究dEH黑洞的II型微扰准正则模，通过无鬼影参数空间计算基态频率，发现l=1,2模保持阻尼，支持黑洞稳定性。
AI中文摘要：
我们研究了膨胀-欧拉-海森堡（dEH）黑洞的II型微扰的准正则模（QNMs）。这些微扰由耦合的偶宇称引力微扰和膨胀微扰以及奇宇称电磁微扰组成。背景由质量$M$、磁荷$Q_m$以及膨胀耦合差$\zeta=\alpha-\beta$（相对于欧拉-海森堡项）描述。为了找到QNM频率，我们需要确定无矢量鬼影的$(\zeta, Q_m/M)$参数空间。对于$\ell=1$模，辐射块耦合膨胀和轴向电磁振幅，而$\ell=2$模还包含度规振幅，因此频率由矩阵值边值问题获得。我们使用直接积分和切比雪夫伪谱方法计算基态（$n=0$）分支的QNM频率，并在电荷区间重叠处比较两种计算结果。我们发现$n=0$分支中的$\ell=1,2$模在无鬼影参数域内保持阻尼，支持dEH黑洞对II型微扰的稳定性。I型扇区将在别处介绍；此处不对该扇区、更高多极或泛音作任何断言。
英文摘要：
We study the quasinormal modes (QNMs) of Type II perturbations for dilaton-Euler-Heisenberg (dEH) black holes. These perturbations consist of coupled even-parity gravitational and dilaton perturbations together with odd-parity electromagnetic perturbations. The background is described by mass $M$, magnetic charge $Q_m$, and dilaton coupling difference $ζ=α-β$ to the Euler-Heisenberg term. To find the QNM frequencies, we need to find the parameter space of $(ζ, Q_m/M)$ that is free from vector ghosts. For the $\ell=1$ mode, the radiative block couples the dilaton and axial electromagnetic amplitudes, whereas the $\ell=2$ mode also contains metric amplitudes, so the frequencies are obtained from matrix-valued boundary-value problems. We calculate QNM frequencies for the fundamental ($n=0$) branch with direct integration and the Chebyshev pseudospectral method, and compare the two computations wherever their charge intervals overlap. We find that the $\ell=1,2$ modes in the $n=0$ branch remain damped over the ghost-free parameter domain, supporting the stability of dEH black holes against Type II perturbations. The Type I sector will be presented elsewhere; no claim is made here about that sector, higher multipoles, or overtones.
