Quasinormal modes, shadow and thermodynamics of black holes coupled with nonlinear electrodynamics and cloud of strings

TL;DR

This paper presents an exact black hole solution in Einstein gravity with nonlinear electrodynamics and a cloud of strings, analyzing its thermodynamics, stability, quasinormal modes, and shadow properties.

Contribution

It introduces a novel exact black hole solution incorporating nonlinear electrodynamics and a cloud of strings, and explores its thermodynamic and optical characteristics.

Findings

The cloud of strings does not affect black hole stability.

A second-order phase transition occurs at a critical horizon radius.

Parameters influence the black hole's optical properties.

Abstract

We construct an exact black hole solution for the Einstein gravity coupled with the nonlinear electrodynamics (which corresponds to the Maxwell electrodynamics in the weak field limit) in the presence of a cloud of strings as the source. We study the thermodynamical properties of the black hole solutions and derive the corrected first-law of thermodynamics. The presence of a cloud of strings does not affect the stability of the present black hole. However, a second-order phase transition exists for this system at a critical horizon radius. Furthermore, we study the quasinormal modes and their shadow radius. In addition, we find that, upon variation, the parameters of the theory show different aspects of the optical characteristics of the black hole solutions.