Computation of the Early and Late Time Particle Production for a 4-D Non-Rotating Black Hole That Forms From Collapse*

Black hole evaporation is studied in the case of a 4-D non-rotating black hole that forms from the collapse of a null shell. Expressions for the exact Bogolubov coefficients for a massless minimally coupled scalar field are given and techniques used for their numerical computation are discussed. Results for the s-wave case are computed and analyzed in detail. These coefficients are used to compute the particle production which occurs during and after the collapse.