Quasinormal modes of Reissner-Nordström black hole from bound state spectrum
Abstract
We apply a newly proposed bound state method to revisit the computation of gravitational and electromagnetic quasinormal modes (QNMs) for Reissner-Nordström black holes (RNBHs). It is found that the method yields QNM frequencies of high accuracy for low-lying modes with overtones n≤3. The accuracy degrades for higher overtones, however, a homotopy deformation to the potential enables us to compute more high overtone modes reliably. It is known that the continued fraction method for computing QNMs of extremal RNBHs differs significantly from that used for nonextremal ones. In contrast, the bound state method demonstrates advantage of simplicity: one only need to account for the definition of tortoise coordinate in the extremal case, and the rest of the computational procedure remains exactly the same as that for the nonextremal case.
Related
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- Nonoscillatory gravitational quasinormal modes of Reissner–Nordström–de Sitter spacetime
- 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{zhou2026quasinormal,
title = {{Quasinormal modes of Reissner-Nordström black hole from bound state spectrum}},
author = {Bo-Yun Zhou and Hao-Yun Ma and Jia-Hui Huang},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.14979},
eprint = {2609.14979},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.14979},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Quasinormal modes of Reissner-Nordström black hole from bound state spectrum
AU - Bo-Yun Zhou
AU - Hao-Yun Ma
AU - Jia-Hui Huang
PY - 2026
DA - 2026/09/14
PB - arXiv
DO - 10.48550/arxiv.2609.14979
UR - https://arxiv.org/abs/2609.14979
AB - We apply a newly proposed bound state method to revisit the computation of gravitational and electromagnetic quasinormal modes (QNMs) for Reissner-Nordström black holes (RNBHs). It is found that the method yields QNM frequencies of high accuracy for low-lying modes with overtones n≤3. The accuracy degrades for higher overtones, however, a homotopy deformation to the potential enables us to compute more high overtone modes reliably. It is known that the continued fraction method for computing QNMs of extremal RNBHs differs significantly from that used for nonextremal ones. In contrast, the bound state method demonstrates advantage of simplicity: one only need to account for the definition of tortoise coordinate in the extremal case, and the rest of the computational procedure remains exactly the same as that for the nonextremal case.
ER -