二维黑洞的熵与能斯特定理
Nernst Theorem and Entropy ofTwo DimensionalBlack Holes
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摘要: 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.Abstract: The brickwallmodelwas used to directly calculate the Boson entropy of scalar field in the background of1+1 dimensional(space-time) black holes. The results show that the entropy is related to both the outer and innerhorizons. If the contribution of the innerhorizon is considered, the entropy approaches zero as the radiation temperature approaches zero. The entropy satisfies the Nernst theorem, so itcan be regarded asPlank absolute entropy. If the contribution of the innerhorizon isnot considered, the entropy has a logarithmically divergent term, which is the same with the known conclusion.
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Key words:
- brickwallmodel /
- black hole /
- entropy /
- Nernst theorem /
- scalar field /
- innerhorizon
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