Sen黑洞熵与能斯特定理

The entropy of Sen black hole and the Nernst theorem

避开求解黑洞背景下波动方程的困难 ,应用量子统计方法 ,直接求解轴对称Sen黑洞背景下Bose场和Fermi场的配分函数 .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 .得到黑洞熵不但与黑洞的外视界面积有关 ,而且也是内视界面积的函数 .在所得结论中不存在对数发散项与舍去项 ,也不存在黑洞视界外标量场或Dirac场为什么是黑洞熵疑难 ,并且给出粒子的自旋简并度对黑洞熵的影响 .当黑洞的辐射温度趋于绝对零度时 ,由黑洞内外视界面积决定的黑洞熵也趋于零 ,它满足能斯特定理 。

By using the method of quantum statistics,we directly derive the partition functions of the bosonic field and fermionic field in the Sen black hole with an axial symmetry.Then via the improved brick_wall method and the membrane model,we calculate the entropies for the bosonic field and fermionic feld.We derive the entropy of the black hole which is not only related to the area of the outer horizon but also the function of the area of the inner horizon.In our results, there are no logarithmic divergent terms and left terms.There does not exist the question why the entropy of the scalar field or Dirac field outside the horizon is the entropy of the black hole.The influence of the spinning degeneracy of particles on the entropy of a black hole is studied.When the radiation temperature of the black hole approaches absolute zero,the entropy determined by the area of the inner and outer horizons also approaches zero.This satisfies the Nernst theorem.It can be taken as the Planck absolute entropy of a black hole.