Near-Horizon Geometry and the Entropy of a Minimally Coupled Scalar Field in the Asymptotically Flat Black Holes

摘要

31.1 Introduction Since the four laws of black hole mechanics were formulated [1], there has been much effort to relate the laws of black hole mechanics to those of thermodynamics. The area theorem led Bekenstein to assign an entropy to a black hole [2]. Hawking established the thermodynamical aspects of black holes by showing that a black hole can radiate like a hot body at a temperature equal to a multiple of the surface gravity of the horizon [3]. The entropy of a black hole, considered as a thermodynamical system, was found to be j. Here A is the area of the horizon.