Few thermodynamical features of charged accelerating rotating black holes

It is generally remarkable to discuss black hole thermodynamics by considering the phenomenon of phase transition for a most general class of static spacetime. For this purpose, we consider the charged Newman-Unti-Tamburino accelerating and rotating pair of black holes. Then, we check the validation of the first law of thermodynamics as well as calculated some thermodynamic quantities like Bekenstein-Hawking entropy area relationship, specific heat, effective temperature, and effective pressure at critical points. We also examine the physical behavior of such thermodynamic potentials and check the global and local stability with the help of Gibbs free energy and specific heat. Moreover, we investigate the difference in the behavior of phase transition for acceleration horizons, inner and outer horizons. Finally, using Ehrenfest's equations, we describe the existence of phase transition by Prigogine-Defay ratio at the critical points.