Quasinormal modes of the Hayward black hole surrounded by quintessence: scalar, electromagnetic and gravitational perturbations

TL;DR

This paper investigates the quasinormal modes of a Hayward regular black hole surrounded by quintessence for scalar, electromagnetic, and gravitational perturbations, analyzing their dependence on black hole and field parameters.

Contribution

It provides a detailed analysis of quasinormal modes and greybody factors for the Hayward black hole with quintessence using third-order WKB approximation, including numerical results.

Findings

Quasinormal mode frequencies depend on black hole and quintessence parameters.

Greybody factors vary with the parameters of the black hole and test fields.

The study offers insights into wave scattering and stability of regular black holes.

Abstract

We study the quasi-normal modes for scalar, electromagnetic, and gravitational axial perturbations in the Hayward regular black hole surrounded by quintessence (HBH-$\omega_q$). Using the third--order WKB approximation we can determine the dependence of the quasi--normal modes on the parameters of the regular black hole and the parameters on the test fields. We also determine the greybody factor, giving transmission and reflection coefficients of the scattered wave through the effective potentials in the WKB approximation using numerical analysis.