SELF-INTERACTION CORRECTION TO BLACK-HOLE RADIANCE

We consider the modification of the formulas for black hole radiation, due to the self-gravitation of the radiation. This is done by truncat ing the coupled particle-hole system to a small set of modes, that are plausibly the most significant ones, and quantizing the reduced syste m. In this way we find that the particles no longer move along geodesi cs, nor is the action along the rays zero for a massless particle. The radiation is no longer thermal, but is corrected in a definite way th at we calculate. Our methods can be extended in a straightforward mann er to discuss correlations in the radiation, or between incoming parti cles and the radiation.