postscript
4 Black hole structure...
Abstract...
Acknowledgments...
The energy-momentum tensor of the massless scalar field is calculated from the
transformation 
:
if 
and 
(Vendrell (1997a)). The black hole emits thus
spontaneously a thermal radiation (Hawking (1975)) of temperature
To the first loop approximation, the back-reaction of the massless radiation on
space-time is analysed by adding to eq.1 the trace anomaly 
. One obtains
where 
. The mass and temperature of the black hole are renormalised and
become smaller
The radius 
of the black hole becomes larger.