Quasinormal modes and greybody factor of charged black hole in non-commutative geometry

TL;DR

This paper investigates the quasinormal modes and greybody factors of a charged black hole within non-commutative geometry, providing new insights into their spectral properties and potential observational signatures.

Contribution

It introduces a novel metric for charged black holes in non-commutative geometry and applies high-order WKB analysis to compute quasinormal frequencies and greybody factors.

Findings

Calculated quasinormal frequencies for different perturbations.

Analyzed greybody factors across various fields.

Provided insights into black hole stability and radiation characteristics.

Abstract

In this article, the quasinormal modes and greybody factor of charged black hole in non-commutative geometry are studied. Under the assumption of a uniformly distributed charge within the matter, we obtain the metric for a charged black hole in non-commutative geometry. We calculated the wave function and obtained the effective potential of three different perturbed fields with spin. Then we applied $6^{\rm{th}}$ order WKB method to analyze the quasinormal modes of the black hole and derived quasinormal frequencies. Futhermore, we discussed the greybody factor in different perturbed fields under this spacetime.