English

Massless Maxwell fields on sub-extremal Kerr-Newman exteriors

Analysis of PDEs 2026-04-13 v1 General Relativity and Quantum Cosmology High Energy Physics - Theory

Abstract

We study the massless Maxwell system on fixed sub--extremal Kerr-Newman exteriors. In the weak Kerr--Newman regimes with 0<acaM0<|a|\le c_a M, 0<QcQM0<|Q|\le c_Q M, and ca,cQ(0,1)c_a,c_Q \in (0,1) , we prove non--degenerate boundedness, Morawetz / integrated local energy decay, the outgoing rpr^p hierarchy, radiation fields, polynomial decay, and two--sided scattering for the stationary-subtracted Maxwell field. In the axisymmetric relative slow--rotation regime 0<aεKNQ<M0<|a|\le \varepsilon_{\mathrm{KN}}|Q|<M with εKN(0,1)\varepsilon_{\mathrm{KN}} \in (0,1), the same conclusions hold on the axisymmetric sector, with no perturbative restriction on Q/M|Q|/M beyond sub--extremality. For the full sub-extremal range a2+Q2<M2a^2+Q^2<M^2, 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.

Keywords

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