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Perturbations of Kerr-Newman black holes: separation and mode stability
Abstract
We study linearized perturbations of the subextremal Kerr-Newman black hole solution of the Einstein-Maxwell equations. We show how to overcome what Chandrasekhar called the "apparent indissolubility of the coupling between the spin-1 and spin-2 fields" by using a matrix integrating factor for suitably transformed first-order systems that describe the radiative degrees of freedom. For the radial ODEs obtained after angular separation, we prove mode stability on the real axis, i.e., the absence of quasinormal modes with real frequencies, using a Whiting-type transform.
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BibTeX
@misc{hintz2026perturbations,
title = {{Perturbations of Kerr-Newman black holes: separation and mode stability}},
author = {Peter Hintz},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.33661},
eprint = {2609.33661},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.33661},
}
RIS
TY - UNPB
TI - Perturbations of Kerr-Newman black holes: separation and mode stability
AU - Peter Hintz
PY - 2026
DA - 2026/09/27
PB - arXiv
DO - 10.48550/arxiv.2609.33661
UR - https://arxiv.org/abs/2609.33661
AB - We study linearized perturbations of the subextremal Kerr-Newman black hole solution of the Einstein-Maxwell equations. We show how to overcome what Chandrasekhar called the "apparent indissolubility of the coupling between the spin-1 and spin-2 fields" by using a matrix integrating factor for suitably transformed first-order systems that describe the radiative degrees of freedom. For the radial ODEs obtained after angular separation, we prove mode stability on the real axis, i.e., the absence of quasinormal modes with real frequencies, using a Whiting-type transform.
ER -