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.

中文翻译：

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DeSitter-Reissner-Nordström时空中带电Klein-Gordon方程的散射理论

当黑色电荷与Klein-Gordon场电荷的乘积足够小时，我们在外部DeSitter-Reissner-Nordström时空中显示了带电Klein-Gordon方程的渐近完备性。然后，我们将散射解释为在原始时空的Kaluza-Klein扩展中，沿着主要的零大地测量学的渐近传输。