Thermal Fluctuations And Correlations Among Hairs Of Stable Quantum ADS Kerr-Newman Black Hole

Abstract: We have already derived the Criteria for thermal stability of charged rotating quantum black holes, for horizon areas that are large relative to the Planck area. The derivation is done by using results of loop quantum gravity and equilibrium statistical mechanics of the Grand Canonical ensemble. It is also shown that in four dimensional spacetime, quantum ADS Kerr-Newman Black hole is thermally stable within certain range of its' parameters. In this paper, the expectation values of fluctuations and correlations among horizon area, charge and angular momentum of stable quantum ADS black hole are calculated within the range of stability. Interestingly, it is found that leading order fluctuations of charge and angular momentum, in large horizon area limit, are independent of the values of charge and angular momentum at equilibrium.