Quasinormal Modes of Reissner-Nordström Black Holes in Modified Gravity
Abstract
In the framework of Scalar-Tensor-Vector Gravity (STVG), this paper investigates the quasinormal modes and time-domain evolution of Reissner-Nordström Modified Gravity (MOG) black holes under massless scalar, electromagnetic, and gravitational perturbations. Quasinormal frequencies are calculated by extending the 3rd- to 6th-order WKB method and combining it with Padé approximation to the 13th order, while complete time-domain waveforms are obtained using a finite-difference method based on light-cone coordinates. The results indicate that increasing the MOG parameter α raises the effective mass of the black holes, leading to a decrease in the damping rate |ωI| and a slower ringdown decay. An increase in charge Q produces a similar effect, with the damping approaching zero in the near-extremal limit. Regarding the ringdown decay times for the three types of perturbations, the gravitational field has the longest duration, the electromagnetic field is intermediate, and the scalar field is the shortest. The oscillations and decay observed in the time-domain waveforms are qualitatively consistent with the frequency-domain results, and the power-law exponent governing the late-time tail aligns with that of asymptotically flat spacetimes. This study provides a systematic theoretical reference for testing modified gravity theories using black hole spectroscopy.
Related
- Isospectrality breaking in the axial quasinormal modes of Reissner-Nordström black holes in dynamical Chern-Simons gravity
- Nonoscillatory gravitational quasinormal modes of Reissner–Nordström–de Sitter spacetime
- Quasinormal modes of Reissner-Nordström black hole from bound state spectrum
- Grey-body factor from correspondence with quasinormal mode for gravitational perturbation of higher-dimensional Reissner-Nordström black hole
- Zero-damped modes of near-extremal Reissner--Nordström black holes from exact WKB
BibTeX
@misc{tan2026quasinormal,
title = {{Quasinormal Modes of Reissner-Nordström Black Holes in Modified Gravity}},
author = {Xia-Tong Tan and Yu Zhang and Zhi-Hong Nie},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.00393},
eprint = {2610.00393},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.00393},
}
RIS
TY - UNPB
TI - Quasinormal Modes of Reissner-Nordström Black Holes in Modified Gravity
AU - Xia-Tong Tan
AU - Yu Zhang
AU - Zhi-Hong Nie
PY - 2026
DA - 2026/10/01
PB - arXiv
DO - 10.48550/arxiv.2610.00393
UR - https://arxiv.org/abs/2610.00393
AB - In the framework of Scalar-Tensor-Vector Gravity (STVG), this paper investigates the quasinormal modes and time-domain evolution of Reissner-Nordström Modified Gravity (MOG) black holes under massless scalar, electromagnetic, and gravitational perturbations. Quasinormal frequencies are calculated by extending the 3rd- to 6th-order WKB method and combining it with Padé approximation to the 13th order, while complete time-domain waveforms are obtained using a finite-difference method based on light-cone coordinates. The results indicate that increasing the MOG parameter α raises the effective mass of the black holes, leading to a decrease in the damping rate |ω_I| and a slower ringdown decay. An increase in charge Q produces a similar effect, with the damping approaching zero in the near-extremal limit. Regarding the ringdown decay times for the three types of perturbations, the gravitational field has the longest duration, the electromagnetic field is intermediate, and the scalar field is the shortest. The oscillations and decay observed in the time-domain waveforms are qualitatively consistent with the frequency-domain results, and the power-law exponent governing the late-time tail aligns with that of asymptotically flat spacetimes. This study provides a systematic theoretical reference for testing modified gravity theories using black hole spectroscopy.
ER -