Abstract

We obtain exact scattering coefficients of linear field perturbations around black holes from monodromy data of the associated radial wave equation. We apply the method to Kerr-NUT-(A)dS black holes, whose wave equation is always separable, and apply the isomonodromic approach recently described by the authors in the literature. The non-trivial monodromy can be calculated by appropriate initial conditions on the isomonodromic τ-function.