Thermodynamics of a newly constructed black hole coupled with nonlinear electrodynamics and cloud of strings

TL;DR

This paper derives an exact black hole solution in 4D AdS spacetime influenced by nonlinear electrodynamics and a cloud of strings, analyzing its thermodynamics, stability, and phase transitions.

Contribution

It introduces a new black hole solution incorporating nonlinear electrodynamics and a string cloud, and explores its thermodynamic behavior and phase structure.

Findings

Black hole solution is singular due to the cloud of strings.

Thermodynamic quantities are modified by nonlinear electrodynamics and strings.

Critical points and phase transitions depend on parameters like magnetic charge and deviation.

Abstract

This paper finds an exact singular black hole solution in the presence of nonlinear electrodynamics as the source of matter field surrounded by a cloud of strings in $4D$ $AdS$ spacetime. Here, the presence of the cloud of string, the usual Bardeen solution, becomes singular. The obtained black hole solution interpolates with the $AdS$ Letelier black hole in the absence of both the deviation parameter and magnetic charge and interpolates with the $AdS$ Bardeen black hole in the absence of the deviation parameter and a cloud of strings parameter. We analyse the horizon structure and thermodynamics properties, including the stability of the resulting black hole, numerically and graphically. Thermodynamical quantities associated with the black hole get modified due to the nonlinear electrodynamics and cloud of strings. Moreover, we study the effect of a cloud of strings parameter, magnetic charge and deviation parameter on critical points and phase transition of the obtained black hole where the cosmological constant is treated as the thermodynamics pressure. The critical radius increases with increasing deviation parameter values and magnetic charge values. In contrast, the critical pressure and temperature decrease with increasing deviation parameters and magnetic charge values.