球对称膨胀黑洞的统计熵

本文运用量子统计方法，直接求解球对称膨胀黑洞背景中Bose场和Fermi场的配分函数，得到与近似求解波动方程而得到的积分表达式相同的结果．然后利用改进的brick--wall方法-膜模型，计算黑洞背景下Bose场和Fermi场的熵．得到黑洞与视界面积成正比的结论，在所得结论中不存在对数发散项与舍去项，也不存在态密度在视界附近发散问题，并且给出粒子的自旋简并度对黑洞熵的影响，整个计算过程不存在近似求解问题，为研究各种复杂黑洞熵提供了一条简捷的新途径。

Statistical Entropy of Spherically Symmetric Dilatonic Black Hole

By using the method of quantum statistics, we directly derive the partition function of bosonic and fermionic field in spherically symmetric dilatonic black hole and obtain the integral expression of black (hole's) entropy, which avoids the difficulty in solving the wave equation of various particles. Then via the improved brick-wall method, membrane model, we obtain that if we choose proper parameter, the entropy of black hole is proportional to the area of horizon. In our result, the stripped term and the divergent logarithmic term in the original brick-wall method no longer exist. In the whole process, we do not take any approximation. We offer a new simple and direct way of calculating the entropy of different complicated black holes.