Ariane Beier
The aim of this talk is to present the results of the analysis of the separated solutions of the scalar wave equation with and without topological charge on Schwarzschild and Reissner-Nordström black hole spacetimes with Sturm-Liouville methods. With respect to these methods, a complete characterisation of the separated solutions of the scalar wave equation (without topological charge) is given on the exterior as well as the interior of the Schwarzschild background. Since the other cases are still work in progress, only the available results and occuring issues are presented.
