Charge-regular formulation and radiative amplitudes of Kerr-Newman perturbations
Abstract
We establish a charge-regular formulation of separated Kerr--Newman perturbations and an explicit map from master solutions to physical radiative fields. We derive regular angular and radial first-order systems and their second-order reductions, with finite-charge deformations of the spin ±1 and ±2 Teukolsky equations. The field and boundary normalizations recover the standard Kerr conventions while accounting for the nonuniform zero-charge limit at infinity. For physical Einstein--Maxwell perturbations with the usual peeling behavior, we obtain explicit outgoing gravitational and electromagnetic amplitudes and energy fluxes at nonzero real frequency. The resulting finite-charge radiation-composition ratios depend only on the regular angular functions, independently of the radial excitation.
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BibTeX
@misc{motohashi2026chargeregular,
title = {{Charge-regular formulation and radiative amplitudes of Kerr-Newman perturbations}},
author = {Hayato Motohashi},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.10529},
eprint = {2610.10529},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.10529},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Charge-regular formulation and radiative amplitudes of Kerr-Newman perturbations
AU - Hayato Motohashi
PY - 2026
DA - 2026/10/07
PB - arXiv
DO - 10.48550/arxiv.2610.10529
UR - https://arxiv.org/abs/2610.10529
AB - We establish a charge-regular formulation of separated Kerr--Newman perturbations and an explicit map from master solutions to physical radiative fields. We derive regular angular and radial first-order systems and their second-order reductions, with finite-charge deformations of the spin ±1 and ±2 Teukolsky equations. The field and boundary normalizations recover the standard Kerr conventions while accounting for the nonuniform zero-charge limit at infinity. For physical Einstein--Maxwell perturbations with the usual peeling behavior, we obtain explicit outgoing gravitational and electromagnetic amplitudes and energy fluxes at nonzero real frequency. The resulting finite-charge radiation-composition ratios depend only on the regular angular functions, independently of the radial excitation.
ER -