Reissner-Nordstr\"{o}m black holes statistical ensembles and first order thermodynamic phase transition

TL;DR

This paper investigates the thermodynamic phase transition behavior of quantum-perturbed Reissner-Nordström black holes using a statistical ensemble approach, predicting a first order phase transition akin to Bose-Einstein condensation.

Contribution

It introduces a novel application of Debbasch's proposal to analyze the statistical ensemble of quantum-perturbed Reissner-Nordström black holes and predicts their phase transition behavior.

Findings

Prediction of a first order thermodynamic phase transition.

Identification of Bose-Einstein condensation behavior in black hole ensembles.

Application of statistical ensemble methods to quantum black hole perturbations.

Abstract

We apply Debbasch proposal to obtain mean metric of coarse graining (statistical ensemble) of quantum perturbed Reissner-Nordst\"{o}m black hole $(RNBH).$ Then we seek its thermodynamic phase transition behavior. Our calculations predict first order phase transition which it can take Bose Einstein's condensation behavior.