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The Quantum Corrections on Kerr-Newman Black Hole Thermodynamics by the Generalized Uncertainty Principle
International Journal of Theoretical Physics ( IF 1.4 ) Pub Date : 2020-08-11 , DOI: 10.1007/s10773-020-04468-3
Shanping Wu , Chengzhou Liu

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.

中文翻译:

广义不确定性原理对克尔-纽曼黑洞热力学的量子修正

利用广义测不准原理,研究了克尔-纽曼黑洞热力学的量子修正。利用事件视界附近粒子的修正量子不确定性,给出了一般静止黑洞的温度与视界半径之间的关系。然后,为保证关系式具有基本的物理意义,得到了黑洞的具有普朗克温度的临界状态。此外,考虑量子引力效应,利用黑洞热力学第一定律,计算带电旋转黑洞的熵,得到包括对数项对Bekenstein-Hawking熵的量子修正。此外,在广义不确定性原理的背景下,获得了克尔-纽曼黑洞的热容量。设热容为零,推导出具有普朗克温度的黑洞辐射残余。发现,对于克尔-纽曼黑洞,残余态与临界态是一致的。这样,利用广义不确定性原理,消除了传统克尔-纽曼黑洞热力学中蒸发最后阶段的温度发散。
更新日期:2020-08-11
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