On the Hawking effect -: art. no. 024029

In terms of the Painleve-Gullstrand-Lemaitre coordinates a rather general scenario for the gravitational collapse of an object and the subsequent formation of a horizon is described by a manifest C-infinity metric. For a (1 + 1)-dimensional model of the collapse the leading contributions to the Bogoliubov coefficients are calculated explicitly and the Hawking temperature is recovered. But depending on the particular dynamics of the collapse the final stare represents either evaporation or antievaporation. The generalization of the calculation to 3 + 1 dimensions is outlined and possible implications are addressed.