Quasi-normal modes for Dirac fields in Kerr-Newman-de Sitter black holes

TL;DR

This paper provides a detailed asymptotic analysis of quasi-normal modes for Dirac fields in slowly rotating Kerr-Newman-de Sitter black holes, revealing resonance splitting similar to the Zeeman effect and showing mass independence in leading terms.

Contribution

It extends techniques used for Kerr-de Sitter black holes to Dirac operators in Kerr-Newman-de Sitter spacetimes, offering a full asymptotic description of resonances.

Findings

Resonances split akin to the Zeeman effect.

Mass of Dirac field does not affect leading resonance terms.

Provides asymptotic formulas for resonances in the specified black hole spacetime.

Abstract

We provide the full asymptotic description of the quasi-normal modes (resonances) in any strip of fixed width for Dirac fields in slowly rotating Kerr-Newman-de Sitter black holes. The resonances split in a way similar to the Zeeman effect. The method is based on the extension to Dirac operators of techniques applied by Dyatlov 2011, 2012 to the (uncharged) Kerr-de Sitter black holes. We show that the mass of the Dirac field does not have effect on the two leading terms in the expansions of resonances.