Dynamics of test particles and scalar perturbations around Ay\'{o}n-Beato-Garc\'{i}a black hole coupled with cloud of strings

TL;DR

This paper explores the motion of test particles and scalar wave behavior around a regular Ayón-Beato-García black hole coupled with a cloud of strings, revealing how nonlinear electrodynamics and string parameters affect spacetime dynamics and energy transmission.

Contribution

It introduces a detailed analysis of geodesics and scalar perturbations in an ABG black hole with string coupling, highlighting the influence of NLED and CS parameters on observable properties.

Findings

Test particle trajectories are significantly affected by NLED and CS parameters.

Scalar perturbation potentials depend on the NLED and CS parameters.

Greybody factors are modulated by the parameters, affecting energy transmission.

Abstract

In this paper, we investigate the geodesic motion and scalar perturbations of the Ay\'on-Beato-Garc\'ia (ABG) black hole (BH) coupled with a cloud of strings (CS). By employing the effective potential approach, we analyze the trajectories of massless and massive test particles around this regular BH solution. The interplay between nonlinear electrodynamics (NLED) and CS significantly modifies the spacetime geometry, resulting in distinct dynamical properties for test particles. The behavior of null and timelike geodesics, including their stability and escape conditions, is thoroughly examined. In addition to the geodesic analysis, we study scalar perturbations by deriving the Klein-Gordon equation for massless scalar fields in this spacetime. The resulting Schr\"odinger-like wave equation reveals an effective potential that depends intricately on the NLED and CS parameters. Furthermore, we compute the greybody factors (GFs) to explore the energy transmission and absorption properties of theBH. Our results demonstrate that the NLED parameter $g$ and the CS parameter $\alpha$ play pivotal roles in modulating the GFs, influencing the energy spectrum of scalar radiation. These results provide significant understanding of the observational characteristics of the ABG NLED-CS BH in astrophysical contexts.