Perturbations of Charged Black Holes with Higher-Order Interactions
Abstract
We study linear gravitational perturbations and the corresponding quasinormal-mode spectra of electrically and magnetically charged black holes in the presence of higher-order corrections to the Einstein-Hilbert action. In particular, we consider a four-derivative interaction that couples the Riemann tensor to the electromagnetic field strength in the unique (Horndeski) combination that preserves second-order equations of motion. We provide a comprehensive analysis of the stability conditions. We numerically confirm the absence of exponentially growing modes throughout the physically admissible region of parameter space where the theory remains free of pathologies. We then investigate in detail the properties of the quasinormal-mode spectra and identify several distinctive features induced by the higher-order interaction.
Related
- Magnetically Charged Black Holes from Grand Unified Theory
- Primordial Black Holes from Vector-Induced Curvature Perturbations Sourced by Primordial Magnetic Fields
- Testing Charged Black Holes Embedded in Anisotropic Matter and Surrounded by Plasma through Gravitational Lensing: Bounds from the Sloan Lens ACS Survey
- Charged fluid tori with an approximate magnetic self-field around magnetized Schwarzschild black holes: A semi-analytic approach
- Primordial Black Hole and Gravitational Wave by Peaked Cosmic Perturbations from Axion Curvaton
BibTeX
@misc{stashko2026perturbations,
title = {{Perturbations of Charged Black Holes with Higher-Order Interactions}},
author = {Oleksandr S. Stashko and Roman A. Konoplya and Mark P. Hertzberg},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.09419},
eprint = {2609.09419},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.09419},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Perturbations of Charged Black Holes with Higher-Order Interactions
AU - Oleksandr S. Stashko
AU - Roman A. Konoplya
AU - Mark P. Hertzberg
PY - 2026
DA - 2026/09/08
PB - arXiv
DO - 10.48550/arxiv.2609.09419
UR - https://arxiv.org/abs/2609.09419
AB - We study linear gravitational perturbations and the corresponding quasinormal-mode spectra of electrically and magnetically charged black holes in the presence of higher-order corrections to the Einstein-Hilbert action. In particular, we consider a four-derivative interaction that couples the Riemann tensor to the electromagnetic field strength in the unique (Horndeski) combination that preserves second-order equations of motion. We provide a comprehensive analysis of the stability conditions. We numerically confirm the absence of exponentially growing modes throughout the physically admissible region of parameter space where the theory remains free of pathologies. We then investigate in detail the properties of the quasinormal-mode spectra and identify several distinctive features induced by the higher-order interaction.
ER -