Quasinormal modes of Kerr black holes: The determination of the quasinormal frequencies with a new technique

TL;DR

This paper introduces a novel numerical technique to compute quasinormal frequencies of Kerr black holes more efficiently and accurately, avoiding complex root-finding routines used in previous methods.

Contribution

A new numerical approach for calculating Kerr black hole quasinormal modes that improves accuracy and computational efficiency over existing methods.

Findings

Accurately computed both slowly and rapidly damped quasinormal frequencies.

Demonstrated the effectiveness of the new technique in evaluating angular eigenvalues.

Achieved high precision results without two-dimensional root-finding routines.

Abstract

We compute the quasinormal frequencies of rotating black holes using the continued fraction method first proposed by Leaver. The main difference with former works, is that our results are obtained by a new numerical technique which avoids the use of two dimensional root-finding routines. The technique is applied to evaluate the angular eigenvalues of Teukolsky's angular equation. This method allow us to calculate both the slowly and the rapidly damped quasinormal frequencies with excellent accuracy.