黑洞Bekenstein-Hawking 熵的统计力学起源

The real physical means of the entropies which are obtained by using various of methods, such as ``brick wall" model, Euclidean path integral method, heat kernel approach, covariant phase technique are found by analyzing, comparing and improving these approaches to study black hole Bekenstein-Hawking entropy. The quantum correction to entropies of the static and stationary black holes due to the scalar, electromagnetic, Dirac, Rarita-Schwinger fields and gravitational perturbation are investigated. The universal result for general black hole is found, that is, by adjusting the regulators, we can set the statistical-mechanical entropy of the general stationary axisymmetric black hole equal to the thermodynamical entropy since the statistical-mechanical entropy is related to the regulators. We should note that we only use the most general metric for the stationary axisymmetric spacetime and the conditions that the object described by the metric is a black hole in calculations of the statistical-mechanical and thermodynamic entropy. Therefore, the results are valid not only for static and stationary axisymmetric black holes that we have known, but also for the case that the quantum field possesses the back reaction to the gravitational field so long as the back reaction does not affect the symmetry of the spacetime. Therefore, the results obtained in this project present an important clue for the statistical explanation of the black hole Bekenstein-Hawking entropy.

建立起能正确描述黑洞bekenstein-hawking 熵与微观力学自由度关系的研究方法。用黑洞浞醋饔枚允笨詹伪淅垂叵址醋饔枚造氐挠跋炜悸恰Ｇ蟪龊诙捶浞醋饔糜跋臁⑹视糜诰蔡忍诙春土孔游镏食〉撵氐谋泶锸健Ｓ纱颂街诙挫厥怯赡男┪⒐哿ρё杂啥纫鸬模佣羁汤斫庖ξ锢硌е凶钪匾治唇饩龅暮诙碽ekens tein-hawking 熵的统计ρ鹪础