Perturbations of massless external fields on magnetically charged black holes in string-inspired Euler-Heisenberg theory

TL;DR

This study investigates how massless scalar and electromagnetic perturbations behave around magnetically charged black holes in a string-inspired Euler-Heisenberg framework, focusing on quasinormal modes and greybody factors influenced by charge and coupling parameters.

Contribution

It provides the first detailed analysis of perturbations and greybody factors for these black holes within this theoretical model, using AIM and WKB methods.

Findings

Quasinormal frequencies depend on magnetic charge, coupling, and angular momentum.

Results from AIM agree with WKB method for QNFs.

Greybody factors are significantly affected by black hole parameters.

Abstract

In this paper, we study the perturbations of massless scalar and electromagnetic fields on the magnetically charged black holes in string-inspired Euler-Heisenberg theory. We calculate the quasinormal frequencies (QNFs) and discuss influences of black hole magnetic charge $Q_m$, coupling parameter $\epsilon$ and angular momentum $l$ on QNFs, emphasizing the relationship between these parameters and QNMs behavior. We find these results obtained through the AIM method are in good agreement with those of obtained by WKB method. The greybody factor is calculated by WKB method. The effects of these parameters $Q_m$ and $\epsilon$ on the greybody factor are also studied.