Regular charged black holes, energy conditions and quasinormal modes

TL;DR

This paper investigates the quasinormal modes of regular charged black holes considering energy conditions, using numerical and analytical methods to understand how charge and perturbation parameters influence the spectra.

Contribution

It provides a detailed analysis of scalar perturbations and quasinormal modes of regular charged black holes within General Relativity with non-linear electrodynamics, including new analytic expressions.

Findings

All quasinormal frequencies have negative imaginary parts.

Different energy conditions lead to distinct quasinormal spectra.

The impact of charge, angular degree, and overtone number on spectra is characterized.

Abstract

We discuss energy conditions and quasinormal modes for scalar perturbations of regular charged black holes within the framework of General Relativity coupled to non-linear electrodynamics. The frequencies are computed numerically adopting the WKB method, while in the eikonal limit an analytic expression for the spectra is obtained. The impact of the electric charge, the angular degree, and the overtone number on the spectra is investigated in detail. We find that all frequencies are characterized by a negative imaginary part, and that each type of energy conditions imply a different quasinormal spectrum.