Quasinormal modes of type II-perturbation for dilaton-Euler-Heisenberg black holes
Abstract
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 Qm, 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, Qm/M) that is free from vector ghosts. For the ℓ=1 mode, the radiative block couples the dilaton and axial electromagnetic amplitudes, whereas the ℓ=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 ℓ=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.
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BibTeX
@misc{li2026quasinormal,
title = {{Quasinormal modes of type II-perturbation for dilaton-Euler-Heisenberg black holes}},
author = {Sheng-Yuan Li and Yun Soo Myung and De-Cheng Zou and Yu-Xuan Wang},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.28928},
eprint = {2609.28928},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.28928},
}
RIS
TY - UNPB
TI - Quasinormal modes of type II-perturbation for dilaton-Euler-Heisenberg black holes
AU - Sheng-Yuan Li
AU - Yun Soo Myung
AU - De-Cheng Zou
AU - Yu-Xuan Wang
PY - 2026
DA - 2026/09/24
PB - arXiv
DO - 10.48550/arxiv.2609.28928
UR - https://arxiv.org/abs/2609.28928
AB - 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 ℓ=1 mode, the radiative block couples the dilaton and axial electromagnetic amplitudes, whereas the ℓ=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 ℓ=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.
ER -