Charged Black Hole Solution in Hoyle Narlikar Gravity and its Thermodynamic Properties

Abstract

In this paper, we derive a new class of analytic black hole solutions within the framework of Hoyle--Narlikar gravity, where the black hole is surrounded by an electric charge acting as the source. After obtaining the corresponding metric, we investigate the thermodynamic properties of the resulting black hole solutions, including the Hawking temperature and entropy. Subsequently, we compute the specific heat and Gibbs free energy in order to analyse the thermodynamic stability of the black hole in Hoyle--Narlikar gravity. An interesting result of our analysis is that the black hole becomes thermodynamically stable for large values of the horizon radius within this framework.