Massless Maxwell fields on sub-extremal Kerr-Newman exteriors
Abstract
We study the massless Maxwell system on fixed sub--extremal Kerr-Newman exteriors. In the weak Kerr--Newman regimes with , , and , we prove non--degenerate boundedness, Morawetz / integrated local energy decay, the outgoing hierarchy, radiation fields, polynomial decay, and two--sided scattering for the stationary-subtracted Maxwell field. In the axisymmetric relative slow--rotation regime with , the same conclusions hold on the axisymmetric sector, with no perturbative restriction on beyond sub--extremality. For the full sub-extremal range , by adding one order--zero radiative local--energy estimate for this master system, we could obtain similar results as the weak regimes. This separates the unconditional weak theory from the conditional full--range theory within one reconstruction/scattering framework.
Cite
@article{arxiv.2604.09298,
title = {Massless Maxwell fields on sub-extremal Kerr-Newman exteriors},
author = {Bobby Eka Gunara and Mulyanto and Emir Syahreza Fadhilla and Fiki Taufik Akbar},
journal= {arXiv preprint arXiv:2604.09298},
year = {2026}
}
Comments
83 pages, no figure. Comment are welcome