Scattering Theory for the Charged Klein–Gordon Equation in the Exterior De Sitter–Reissner–Nordström Spacetime

Nicolas Besset (1)

1 IF - Institut Fourier

We show asymptotic completeness for the charged Klein–Gordon equation in the exterior De Sitter–Reissner–Nordström spacetime when the product of the charge of the black with the charge of the Klein-Gordon field is small enough. We then interpret scattering as asymptotic transports along principal null geodesics in a Kaluza–Klein extension of the original spacetime.

Mots clés: Scattering; Charged Klein–Gordon equation; Goursat problem; Kaluza–Klein extension

Domaines: Physique mathématique [math-ph]

Nicolas Besset. Scattering Theory for the Charged Klein–Gordon Equation in the Exterior De Sitter–Reissner–Nordström Spacetime. J.Geom.Anal., 2021, 31 (11), pp.10521-10585. ⟨10.1007/s12220-021-00655-8⟩. ⟨hal-02423719⟩