Scattering Theory for the Charged Klein-Gordon Equation in the Exterior De Sitter-Reissner-Nordstrom Spacetime

We show asymptotic completeness for the charged Klein-Gordon equation in the exterior De Sitter-Reissner-Nordstrom 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.

Automated summary

The study demonstrates asymptotic completeness for the charged Klein-Gordon equation under certain conditions, with scattering interpreted as asymptotic transports along principal null geodesics in an extended spacetime.