Black hole mass spectrum vs spectrum of Hawking radiation

V.A. Berezin, A.M. Boyarsky, A.Yu. Neronov
1999 Physics Letters B  
We consider a massive selfgravitating shell as a model for collapsing body and a null selfgravitating shell as a model for quanta of Hawking radiation. It is show that the mass-energy spectra for the body and the radiation do not match. The way out of this difficulty is to consider not only out-going radiation but also the ingoing one. It means that the structure of black hole is changing during its evaporation resulting in the Bekenstein-Mukhanov spectrum for large masses.
doi:10.1016/s0370-2693(99)00452-9 fatcat:pwstx67d5zg7hmu2yyavtx74hi