The distribution function as well as the fluctuation spectrum of the radiation emitted from a spherically symmetric black hole is derived within the basic framework of statistical mechanics from the fact that it is an entity endowed with a densely spaced quantum level spectrum. The fluctuation spectrum of the emitted radiation is thus found to exhibit deviations from that of pure thermal radiation.

• Received 15 March 1976

DOI:https://doi.org/10.1103/PhysRevD.14.3290