Exact solution for wave scattering from black holes: Formulation

TL;DR

This paper presents an exact, high-precision formulation for wave scattering by Kerr-Newman-de Sitter black holes using Heun functions, enabling fast calculations of various physical phenomena without approximations.

Contribution

It introduces a novel exact solution framework for wave scattering in black hole physics based on the Teukolsky equation and Heun functions, avoiding approximations.

Findings

Exact formulae for wave scattering processes

High-precision calculations of quasinormal modes

Efficient computation of scattering cross sections

Abstract

We establish an exact formulation for wave scattering of a massless field with spin and charge by a Kerr-Newman-de Sitter black hole. Our formulation is based on the exact solution of the Teukolsky equation in terms of the local Heun function, and does not require any approximation. It serves as simple exact formulae with arbitrary high precision, which realize fast calculation without restrictions on model parameters. We highlight several applications including quasinormal modes, cross section, reflection/absorption rate, and Green function.