Statistical entropy of a plane symmetry black hole
平面对称黑洞的统计熵

By using the method of quantum statistics, we directly derive the partition function of the bosonic and ermionic field on black plane and obtain the integral expression of the black plane's entropy, which avoids the difficulty in solving the wave equation of various particles. Then via the improved brick-wall method, membrane model, we calculate the black plane's entropy and find out that if we let the integral upper and lower limits both tend to the horizon, the entropy of the black plane 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.