Massless Maxwell fields on sub-extremal Kerr-Newman exteriors
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866918438687997952 |
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| author | Gunara, Bobby Eka Mulyanto Fadhilla, Emir Syahreza Akbar, Fiki Taufik |
| author_facet | Gunara, Bobby Eka Mulyanto Fadhilla, Emir Syahreza Akbar, Fiki Taufik |
| contents | We study the massless Maxwell system on fixed sub--extremal Kerr-Newman exteriors. In the weak Kerr--Newman regimes with $0<|a|\le c_a M$, $0<|Q|\le c_Q M$, and $c_a,c_Q \in (0,1) $, we prove non--degenerate boundedness, Morawetz / integrated local energy decay, the outgoing $r^p$ hierarchy, radiation fields, polynomial decay, and two--sided scattering for the stationary-subtracted Maxwell field. In the axisymmetric relative slow--rotation regime $0<|a|\le \varepsilon_{\mathrm{KN}}|Q|<M$ with $\varepsilon_{\mathrm{KN}} \in (0,1)$, the same conclusions hold on the axisymmetric sector, with no perturbative restriction on $|Q|/M$ beyond sub--extremality. For the full sub-extremal range $a^2+Q^2<M^2$, 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_09298 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Massless Maxwell fields on sub-extremal Kerr-Newman exteriors Gunara, Bobby Eka Mulyanto Fadhilla, Emir Syahreza Akbar, Fiki Taufik Analysis of PDEs General Relativity and Quantum Cosmology High Energy Physics - Theory We study the massless Maxwell system on fixed sub--extremal Kerr-Newman exteriors. In the weak Kerr--Newman regimes with $0<|a|\le c_a M$, $0<|Q|\le c_Q M$, and $c_a,c_Q \in (0,1) $, we prove non--degenerate boundedness, Morawetz / integrated local energy decay, the outgoing $r^p$ hierarchy, radiation fields, polynomial decay, and two--sided scattering for the stationary-subtracted Maxwell field. In the axisymmetric relative slow--rotation regime $0<|a|\le \varepsilon_{\mathrm{KN}}|Q|<M$ with $\varepsilon_{\mathrm{KN}} \in (0,1)$, the same conclusions hold on the axisymmetric sector, with no perturbative restriction on $|Q|/M$ beyond sub--extremality. For the full sub-extremal range $a^2+Q^2<M^2$, 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. |
| title | Massless Maxwell fields on sub-extremal Kerr-Newman exteriors |
| topic | Analysis of PDEs General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2604.09298 |