The regge-wheeler equation with sources for both even and odd parity perturbations of the schwarzschild geometry

Whether source terms exist or not, the Regge-Wheeler equation is shown to be the master equation for perturbations of the Schwarzschild geometry. In this generalized Regge-Wheeler equation, it is found that divergent integrals do not appear, although they do in the Bardeen-Press-Teukolsky equation.