Some exact results on the CGHS black-hole radiation

Abstract

Theorems on the emission of massless scalar particles by the CGHS black hole are presented. The convergence of the mean number of particles created spontaneously in an arbitrary state is studied and shown to be strongly dependent on the infrared behavior of this state. A bound for this quantity is given and its asymptotic forms close to the horizon and far from the black hole are investigated. The physics of a wave packet is analysed in some detail in the black-hole background. It is also shown that for some states the mean number of created particles is not thermal close to the horizon. These states have a long queue extending far from the black hole, or are unlocalised in configuration space.