Chatterjee Ashok, Majumdar Parthasarathi
Theory Group, Saha Institute of Nuclear Physics, Kolkata 700 064, India.
Phys Rev Lett. 2004 Apr 9;92(14):141301. doi: 10.1103/PhysRevLett.92.141301. Epub 2004 Apr 6.
Nonrotating black holes in three and four dimensions are shown to possess a canonical entropy obeying the Bekenstein-Hawking area law together with a leading correction (for large horizon areas) given by the logarithm of the area with a universal finite negative coefficient, provided one assumes that the quantum black hole mass spectrum has a power-law relation with the quantum area spectrum found in nonperturbative canonical quantum general relativity. The thermal instability associated with asymptotically flat black holes appears in the appropriate domain for the index characterizing this power-law relation, where the canonical entropy (free energy) is seen to turn complex.
研究表明，三维和四维中的非旋转黑洞具有符合贝肯斯坦 - 霍金面积定律的正则熵，并且对于大视界面积存在一个主导修正，该修正由具有通用有限负系数的面积对数给出，前提是假设量子黑洞质量谱与在非微扰正则量子广义相对论中发现的量子面积谱具有幂律关系。与渐近平直黑洞相关的热不稳定性出现在表征此幂律关系的指数的适当范围内，在此范围内正则熵（自由能）会变得复数化。
