伸缩子-欧拉-海森堡德西特黑洞轴向扰动的似正规模频率与灰体因子
Quasinormal frequencies and greybody factors for axial perturbations of dilaton-Euler-Heisenberg de Sitter black holes
中文总结 AI 辅助
本研究针对弦论启发的伸缩子-欧拉-海森堡德西特黑洞，用渐近迭代法和六阶WKB近似计算轴向扰动的似正规模频率与灰体因子，揭示了参数对谱的影响及电磁分支的反常特性。
中文摘要 AI 辅助
我们在弦论启发的Euler-Heisenberg引力框架下，研究dilaton-Euler-Heisenberg（dEH，伸缩子-欧拉-海森堡）de Sitter（dS，德西特）黑洞的似正规模（QNMs）与灰体因子。由于轴向引力扰动与电磁扰动相互解耦，我们对二者分别进行处理。我们结合渐近迭代法（AIM）与六阶WKB近似计算似正规模频率，发现两种方法的结果高度吻合。研究还发现，QNM谱对磁荷$Q_{\text{m}}$、宇宙学常数$Λ$与非线性耦合$ε$具有敏感依赖性，且电磁频率轨迹中出现显著的拓扑反常。此外，更大的$Q_{\text{m}}$或多极数$l$通常会抑制波的透射，而$ε=1$的电磁分支则表现出反常响应。
英文摘要
We investigate the quasinormal modes (QNMs) and greybody factors of dilaton-Euler-Heisenberg (dEH) de Sitter (dS) black holes in string-inspired Euler-Heisenberg gravity. Since the axial gravitational and electromagnetic perturbations decouple, we treat them independently. By applying the asymptotic iteration method (AIM) alongside a sixth-order WKB approximation, we compute the quasinormal frequencies and find excellent agreement between the two approaches. We also find that the QNM spectra depend sensitively on the magnetic charge $Q_{\text{m}}$, cosmological constant $Λ$, and nonlinear coupling $ε$, with a notable topological anomaly appearing in the electromagnetic frequency trajectories. Additionally, larger values of $Q_{\text{m}}$ or the multipole number $l$ generally suppress wave transmission, while the electromagnetic sector with $ε=1$ exhibits an anomalous response.
