THERMODYNAMICS OF CHARGED ABG BLACK HOLE

Abstract

This study investigates the thermodynamic properties of the Ayón-Beato and A. García (ABG) black hole solution. We explore key aspects such as the structure of the black hole horizons, the behaviour surface gravity, and Hawking temperature, using both analytical methods and graphical illustrations. The findings indicate that surface gravity diminishes with increased charge and rises with additional mass, highlighting variations in surface gravity. When findings indicate that increasing the charge (Q) decreases the temperature of Hawking, we observe a quantum signature embedded within a classical spacetime. This serves as an example of the semi-classical domain of quantum gravity, where quantum field theory is employed on an invariant classical framework. This study aims to provide deeper insight into black hole thermodynamics and their role in bridging classical and quantum gravity.