AVERAGED ENERGY CONDITIONS IN 4D EVAPORATING BLACK-HOLE BACKGROUNDS -ART. NO. 064017

Using Visser's semianalytical model for the stress-energy tensor corre sponding to the conformally coupled massless scalar field in the Unruh vacuum, we examine, by explicitly evaluating the relevant integrals o ver half-complete geodesics, the averaged weak and averaged null energ y conditions along with Ford-Roman quantum inequality-type restriction s on negative energy in the context of four-dimensional evaporating bl ack hole backgrounds. We find that in all cases where the averaged ene rgy conditions fail, there exist quantum inequality bounds on the magn itude and duration of negative energy densities. [S0556-2821(98)02618- 6].