Quasinormal modes for a non-minimally coupled scalar field in a five-dimensional Einstein-power-Maxwell background

TL;DR

This paper investigates the quasinormal modes of a non-minimally coupled scalar field in a five-dimensional Einstein-power-Maxwell black hole background, revealing stability conditions influenced by nonlinear electrodynamics and coupling parameters.

Contribution

It introduces a detailed analysis of quasinormal frequencies for scalar fields in higher-dimensional nonlinear electrodynamics black holes, considering non-minimal coupling effects.

Findings

Existence of stable and unstable quasinormal modes depending on parameters.

Quasinormal frequencies vary with the nonlinear electrodynamics power and coupling strength.

Black hole size influences the stability of scalar field perturbations.

Abstract

We study the propagation of massless scalar fields non-minimally coupled to gravity in the background of five-dimensional Einstein-power-Maxwell black holes, and using the WKB and the pseudospectral Chebyshev methods we obtain the quasinormal frequencies (QNFs), which allow us to show the existence of stable and unstable QNFs depending on the power $k$ of the nonlinear electrodynamics, the $\xi$ parameter, which controls the strength of the non-minimal coupling, and on the size of the black hole.