Reissner-Nordstr\"om 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-Nordst\"om 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.
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