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The purpose of this paper is to analyse the back reaction problem, betweenHawking radiation and the black hole, in a simplified model for the black holeevaporation in the quantum geometrodynamics context. The idea is to transcribethe most important characteristics of the Wheeler-DeWitt equation into aSchr\"odinger's type of equation. Subsequently, we consider Hawking radiationand black hole quantum states evolution under the influence of a potential thatincludes back reaction. Finally, entropy is estimated as a measure of theentanglement between the black hole and Hawking radiation states in this model.

Hawking radiation and black hole gravitational back reaction - A quantum geometrodynamical simplified model