轴对称黑洞的量子统计熵  

Quantum statistical entropy of axisymmetric black hole

作　　者：张丽春[1] 胡双启[2] 李怀繁[1] 赵仁[1] 

机构地区：[1]山西大同大学物理系,大同037009 [2]中北大学环境与安全工程系,太原030051

出　　处：《物理学报》2008年第6期3328-3332,共5页Acta Physica Sinica

基　　金：山西省自然科学基金(批准号:2006011012)资助的课题~~

摘　　要：避开了求解黑洞背景下波动方程的因难,应用量子统计方法,通过应用在量子引力中、由广义测不准关系得出的新态密度方程,直接求解轴对称Kerr黑洞背景下玻色场和费米场的配分函数.然后,在视界附近计算黑洞背景下玻色场和费米场的熵.得到用收敛级数表达的黑洞熵.在计算中不存在用brick wall模型计算黑洞熵时出现的发散项和小质量近似,使人们对非球对称时空中黑洞的统计熵有更深入的认识.Using the quantum statistical method, the difficulty of solving wave equation on the background of the black hole is avoided. We directly solve the partition functions of bosonic field and fermionic field on the background of the axisymmetric Kerr black hole through using the new equation of state density motivated by the generalized uncertainty relation in the quantum gravity theory. Then the entropy of the bosonic field and fermionic field near the horizon of the black hole are calculated. In our results the divergence appearing in the brick wall model is removed, as well as without using the small mass approximation. The series expression of the statistical entropy of the black hole is convergent. Therefore, it gives a better understanding of the black hole statistical entropy in non-spherical symmetry spacetimes.

关 键 词：量子统计 非球对称时空 广义测不准关系 黑洞熵 

分 类 号：P145.8[天文地球—天体物理]