Physics
Scientific paper
Jun 1981
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981phrvd..23.2823h&link_type=abstract
Physical Review D (Particles and Fields), Volume 23, Issue 12, 15 June 1981, pp.2823-2827
Physics
39
Scientific paper
The two-dimensional stress-energy tensor of a quantized masssless scalar field is studied on fixed background evaporating-black-hole spacetimes (EBH's). The spherically symmetric EBH backgrounds are constructed by patching together ingoing- and outgoing-null-fluid Vaidya metrics along a timelike hypersurface which is near (but outside) the apparent horizon of the EBH. The timelike hypersurface on which the metrics are joined may be viewed as a shell of pair-creation events. It is found that a necessary (but not sufficient) condition for the quantized field's stress-energy to remain finite on the Cauchy horizon of the EBH is that lim(dMdu)=0 as M-->0, where u is the usual outgoing null coordinate defined on I+. This is particularly interesting because dMdu is in principle measurable by a distant observer. If lim(dMdu)≠0 as M-->0, then the quantized field's outgoing energy flux (Tuu) and its integral (the total energy radiated) both diverge as the Cauchy horizon is approached.
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