Small-data Maxwell–Higgs fields on Schwarzschild admit global existence and nonlinear scattering; on slowly rotating Kerr the same is proved conditional on external linear and spectral estimates.
Nicolas, Conformal scattering on the Schwarzschild metric,Annales de l’Institut Fourier 66(2016), no
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Coulomb Sectors and Scattering for Maxwell-Higgs Fields on Schwarzschild and Slowly Rotating Kerr Backgrounds
Small-data Maxwell–Higgs fields on Schwarzschild admit global existence and nonlinear scattering; on slowly rotating Kerr the same is proved conditional on external linear and spectral estimates.