Matter fields in external gravitational fields

We plan to solve the Klein-Gordon and Dirac equation in black hole space-times and discuss various effects like superradiance, QNM (Quasi-Normal Modes), etc. Referring to the fact that we were able to analytically solve the geodesic equation in a regular black hole space-time we also try to solve these field equations in such regular space-times in order to discuss the differences in the physical effects. 

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