Quasinormal modes for the charged Vaidya metric

TL;DR

This paper analyzes the time-dependent quasinormal modes of a non-stationary charged black hole described by the Vaidya metric, revealing signatures related to naked singularity formation.

Contribution

It introduces a method to compute and analyze quasinormal modes in a dynamic charged black hole background with varying mass and charge.

Findings

Identification of signatures in quasinormal frequencies indicating naked singularity creation

Demonstration of time-dependent quasinormal mode behavior in non-stationary charged black holes

Analysis of scalar wave propagation in a dynamic charged Vaidya spacetime

Abstract

The scalar wave equation is considered in the background of a charged Vaidya metric in double null coordinates $(u,v)$ describing a non-stationary charged black hole with varying mass $m(v)$ and charge $q(v)$. The resulting time-dependent quasinormal modes are presented and analyzed. We show, in particular, that it is possible to identify some signatures in the quasinormal frequencies from the creation of a naked singularity.