On how energy conservation might prevent black hole explosions and violations of the third law

We claim that imposing energy conservation to the emission of Hawking radiation and to the modelling of black hole evaporation might prevent black hole explosions as well as violations of the third law of black hole thermodynamics. This is specifically shown for the general class of spherically symmetric quantum black holes described by an effective quantum vacuum invariant under boosts in the radial direction. No assumptions are made with regard to the specific framework from which the quantum black holes are derived.