The Quantum Corrections on Kerr-Newman Black Hole Thermodynamics by the Generalized Uncertainty Principle

Abstract

By the generalized uncertainty principle, the quantum corrections on Kerr-Newman black hole thermodynamics is studied. Using the modified quantum uncertainty of particles near the event horizon, the relationship between the temperature and the horizon radius for the general stationary black hole is given. Then, to ensure the relational formula having the basic physics meaning, the critical state with Planck temperature for the black hole is obtained. In addition, considering the quantum gravity effects and using the first law of black hole thermodynamics, the entropy of the charged rotating black hole is calculated and the quantum corrections including the logarithmic item to the Bekenstein-Hawking entropy are obtained. Also, in the context of the generalized uncertainty principle, the thermal capacity of Kerr-Newman black hole is obtained. Letting the thermal capacity equal zero, the black hole radiation remnant with Planck temperature is derived. It is found that, for Kerr-Newman black hole, the remnant state is consistent with the critical state. Such, using the generalized uncertainty principle, the temperature divergence at the last stage of evaporation in the traditional Kerr-Newman black hole thermodynamics is removed.