Black hole mass spectrum vs spectrum of Hawking radiation

TL;DR

This paper models black hole evaporation using self-gravitating shells, revealing a mismatch between the mass spectrum of the collapsing body and Hawking radiation, and proposing that including ingoing radiation explains the Bekenstein-Mukhanov spectrum for large black holes.

Contribution

It introduces a shell-based model for black hole collapse and radiation, showing the necessity of ingoing radiation to reconcile the spectra and explaining the spectrum evolution during evaporation.

Findings

Mass-energy spectra of the body and radiation do not match.

Including ingoing radiation accounts for the Bekenstein-Mukhanov spectrum.

Black hole structure changes during evaporation.

Abstract

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.