Black Hole Scattering from Monodromy

TL;DR

This paper investigates black hole scattering by analyzing the monodromies of complexified wave equations, offering new methods to understand greybody factors and quasinormal modes with strong agreement to existing results.

Contribution

It introduces a novel approach linking monodromies of wave equations to scattering data, enhancing analytical and numerical techniques for black hole physics.

Findings

Monodromy techniques relate to scattering coefficients.

New perturbative and numerical methods developed.

Results agree with previous studies.

Abstract

We study scattering coefficients in black hole spacetimes using analytic properties of complexified wave equations. For a concrete example, we analyze the singularities of the Teukolsky equation and relate the corresponding monodromies to scattering data. These techniques, valid in full generality, provide insights into complex-analytic properties of greybody factors and quasinormal modes. This leads to new perturbative and numerical methods which are in good agreement with previous results.