二维黑洞的熵与能斯特定理

Nernst Theorem and Entropy of Two Dimensional Black Holes

利用砖墙模型,直接计算1+1维(时-空)黑洞背景下标量场的自由能和玻色子熵.结果表明,黑洞的熵与内外视界有关.如果计及内视界贡献,当辐射温度趋于零时,二维黑洞熵趋于零,满足能斯特定理,可看成Plank绝对熵.当不考虑内视界贡献时,黑洞熵具有对数发散项,与已有结论一致.

The brick wall model was used to directly calculate the Boson entropy of scalar field in the background of 1＋1 dimensional （space-time） black holes. The results show that the entropy is related to both the outer and inner horizons. If the contribution of the inner horizon is considered, the entropy approaches zero as the radiation temperature approaches zero. The entropy satisfies the Nernst ed as Plank absolute entropy. If the contribution of the inner horizon is not considered, the entropy has a logarithmically divergent term, which is the same with the known conclusion.