The influence of the generalized uncertainty principle on Kerr black hole thermodynamics

The quantum corrections on Kerr black hole thermodynamics was studied by using the generalized uncertainty principle. Based on the quantum uncertainty of the particle near the event horizon, the relation between the temperature and the radius of the rotating black hole was given. Then, by analyzing the relation formula, the critical state and the critical parameters of the black hole were obtained. Further, with the help of the first law of black hole thermodynamics, the thermal capacity and the entropy of Kerr black hole were calculated. And, according to the obtained thermal capacity formula, the radiation remnant of Kerr black hole was given. It was found that, the remnant state of the rotating black hole was consistent with the critical state. Such, for Kerr black hole, the temperature singularity during evaporation can be avoided by the generalized uncertainty principle. In addition, the obtained black hole entropy contained the quantum corrected terms and the logarithmic correction was proved.