Reissner-Nordström Black Holes Statistical Ensembles and First-Order Thermodynamic Phase Transition

Abstract

We apply Debbasch proposal to obtain mean metric of coarse graining (statistical ensemble) of quantum perturbed Reissner-Nordstöm black hole (RNBH). Then we seek its thermodynamic phase transition behavior. Our calculations predict first-order phase transition which can take Bose-Einstein’s condensation behavior.