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arXiv · 2608.15111

Quasinormal frequencies and greybody factors for axial perturbations of dilaton-Euler-Heisenberg de Sitter black holes

Ming Zhang·Guo-Xin Chen·Xufen Zhang·Cheng-Fu Feng·Sheng-Yuan Li·Rui-Hong Yue·De-Cheng Zou
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Abstract

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 $\Lambda$, and nonlinear coupling $\epsilon$, 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 $\epsilon=1$ exhibits an anomalous response.

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Ming Zhang, Guo-Xin Chen, Xufen Zhang, Cheng-Fu Feng, Sheng-Yuan Li, Rui-Hong Yue, De-Cheng Zou. 2026-08-15. Quasinormal frequencies and greybody factors for axial perturbations of dilaton-Euler-Heisenberg de Sitter black holes. https://arxiv.org/abs/2608.15111

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