Quasinormal modes of scale dependent black holes in (1+2)-dimensional Einstein-power-Maxwell theory

TL;DR

This paper investigates the stability and quasinormal mode spectrum of three-dimensional charged black holes in Einstein-power-Maxwell theory with scale-dependent couplings, revealing how running couplings influence stability.

Contribution

It is the first study to analyze scalar perturbations and compute quasinormal modes for these black holes considering running couplings.

Findings

Modes with non-zero angular momentum are unstable in both classical and running coupling cases.

The fundamental mode's stability depends on the running parameter and electric charge.

Running couplings can alter the stability properties of black hole perturbations.

Abstract

We study for the first time the stability against scalar perturbations, and we compute the spectrum of quasinormal modes of three-dimensional charged black holes in Einstein-power-Maxwell non-linear electrodynamics assuming running couplings. Adopting the 6th order WKB approximation we investigate how the running of the couplings change the spectrum of the classical theory. Our results show that all modes corresponding to non-vanishing angular momentum are unstable both in the classical theory and with the running of the couplings, while the fundamental mode can be stable or unstable depending on the running parameter and the electric charge.