PreprintCC BY 4.0arXiv
Exceptional points and hysteresis in Kerr-Newman quasi-normal modes
Abstract
Exceptional points (EPs) and eigenstate hysteresis, previously found in Kerr only with an auxiliary scalar field, arise intrinsically in the quasinormal-mode spectrum of Kerr-Newman black holes. Using a hyperboloidal formulation of the coupled gravito-electromagnetic Teukolsky equations and a Chebyshev pseudospectral method, we compute the ℓ=m=2 spectrum and locate four EPs at up to 99.974% of extremality, one from a new repulsion. The gaps close as a square root branch point, and quasistatic loops around one or more EPs exchange the coalescing modes, confirming hysteresis.
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BibTeX
@misc{arcos2026exceptional,
title = {{Exceptional points and hysteresis in Kerr-Newman quasi-normal modes}},
author = {Mario Misas Arcos and Alberto T. Pérez and Carlos F. Sopuerta},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.30049},
eprint = {2610.30049},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.30049},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Exceptional points and hysteresis in Kerr-Newman quasi-normal modes
AU - Mario Misas Arcos
AU - Alberto T. Pérez
AU - Carlos F. Sopuerta
PY - 2026
DA - 2026/10/27
PB - arXiv
DO - 10.48550/arxiv.2610.30049
UR - https://arxiv.org/abs/2610.30049
AB - Exceptional points (EPs) and eigenstate hysteresis, previously found in Kerr only with an auxiliary scalar field, arise intrinsically in the quasinormal-mode spectrum of Kerr-Newman black holes. Using a hyperboloidal formulation of the coupled gravito-electromagnetic Teukolsky equations and a Chebyshev pseudospectral method, we compute the ℓ=m=2 spectrum and locate four EPs at up to 99.974% of extremality, one from a new repulsion. The gaps close as a square root branch point, and quasistatic loops around one or more EPs exchange the coalescing modes, confirming hysteresis.
ER -