Dynamics of a Perturbed Higher Dimensional Black Hole with Exponential Entropy in the Framework of Einstein-Yang-Mills Gravity

We investigate the thermodynamic properties of a five-dimensional Reissner-Nordström black hole within the framework of Einstein-Yang-Mills gravity, employing the higher-dimensional Wu-Yang Ansatz. By incorporating quantum fluctuations, we examine the behavior of thermodynamic potentials, including internal energy, free energy, Gibbs free energy, and enthalpy. Our analysis reveals that quantum effects are predominantly influential near the event horizon, with negligible impact on larger black holes. Notably, Gibbs free energy emerges as a promising candidate for modeling the black hole as a heat engine. Furthermore, specific heat analysis indicates a second-order phase transition for the system under consideration.