Decay of the local energy for the charged Klein-Gordon equation in the exterior de Sitter-Reissner-Nordström spacetime (Q2195860)

This paper uses a resonance expansion to study solutions of the charged Klein-Gordon equation on a de Sitter-Reissner-Nordström black hole for the case in which the product of the black hole charge and the scalar field charge is small. It obtains that the local energy decays exponentially.