广义不确定原理对Kerr黑洞热力学的影响  

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

作　　者：吴善平 刘成周[1] 曹巧君 王胜 任儒雅 沈淑菲 WU ShanPing;LIU ChengZhou;CAO QiaoJun;WANG Sheng;REN RuYa;SHEN ShuFei(Department of Physics, Shaoxing University, Shaoxing 312000, China)

机构地区：[1]绍兴文理学院物理系,绍兴312000

出　　处：《中国科学：物理学、力学、天文学》2018年第5期1-8,共8页Scientia Sinica Physica,Mechanica & Astronomica

基　　金：浙江省自然科学基金(编号:LY14A030001);国家自然科学基金(编号:11373020)资助

摘　　要：利用广义不确定原理,研究了Kerr黑洞热力学的量子修正.根据视界附近粒子的量子不确定性,给出了黑洞温度与黑洞视界半径的关系式.分析这一关系式,给出了Kerr黑洞的临界状态和临界参量.根据黑洞热力学第一定律,对Kerr黑洞热容和黑洞熵进行了计算.利用黑洞热容公式,给出了黑洞的剩余状态.结果表明,Kerr黑洞剩余状态与临界状态等价,广义不确定原理可避免黑洞蒸发过程中温度奇异性的出现.得到的黑洞熵具有包括对数修正在内的量子修正项.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.

关 键 词：黑洞热力学 广义不确定原理 量子修正 

分 类 号：O413[理学—理论物理] P145.8[理学—物理]