Massive charged scalar field in a Reissner-Nordstrom black hole background: quasinormal ringing

TL;DR

This paper calculates the quasinormal frequencies of a massive charged scalar field around a Reissner-Nordstrom black hole, revealing differences in damping rates between charged and neutral perturbations during the ringing phase.

Contribution

It provides the first detailed analysis of how charge affects the quasinormal modes of scalar fields in charged black hole backgrounds.

Findings

Neutral perturbations damp slower than charged ones during quasinormal ringing.

In the extremal black hole limit, damping rates of charged and neutral perturbations become equal.

Discussion of potential links between quasinormal modes and critical collapse phenomena.

Abstract

We compute characteristic (quasinormal) frequencies corresponding to decay of a massive charged scalar field in a Reissner-Nordstrom black hole background. It proves that, contrary to the behavior at very late times, at the stage of quasinormal ringing the neutral perturbations will damp slower than the charged ones. In the limit of the extremal black hole the damping rate of charged and neutral perturbations coincides. Possible connection of this with the critical collapse in a massive scalar electrodynamics is discussed.