Thermodynamics of a quantum corrected Reissner-Nordström black hole

Abstract

In the modified Reissner-Nordström (RN) black hole with quantum excitations of spacetime, we investigate the quantum corrected thermodynamics. First, we calculate the thermodynamic quantities and examine the quantum corrections on the temperature, entropy and heat capacity. To ensure the black hole mass having the basic physics meaning, we obtain the critical state with Planck scale. Letting the thermal capacity equal zero, we derived the radiation remnant which is consistent with the critical state. Also, we analyze the thermal capacity and discuss the thermal stability of the black hole. Next, using the quantum tunneling method and taking into account the second-order WKB approximation, we calculate the tunneling probability of massless particle. It is found that the tunneling rate is regularized by the quantum excitations of spacetime. As well as, for the tunneling radiation, there are correlations between the emitted modes and holds the potential to address the black hole information loss problem. Besides, based on the unitary of the quantum tunneling, we obtained the corrected black hole entropy, which contains the logarithm and inverse of the black hole area.