Bosonic and fermionic entropy of black holes with different temperatures on horizon surface

作者：Ding TR^*; Wu YQ; Zhang LC

来源：Chinese Physics, 2004, 13(2): 268-272.

• quantum statistics
• membrane model
• statistical entropy
• brick-wall method

By using the method of quantum statistics, we derive directly the partition functions of bosonic and fermionic field in the black hole space-time with different temperatures on horizon surface. The statistical entropy of the black hole is obtained by an improved brick-wall method. When we choose a proper parameter in our results, we can obtain that the entropy of the black hole is proportional to the area of horizon. In our result, there do not exist any neglected term or divergent logarithmic term as given in the original brick-wall method. We have avoided the difficulty in solving the wave equation of the scalar and Dirac field. A simple and direct way of studying entropy of the black hole is given.

• 出版日期2004-2
• 单位南宁师范大学; 集宁师范学院