Hawking Radiation and Black Hole Gravitational Back Reaction-A Quantum Geometrodynamical Simplified Model

The purpose of this paper is to analyse the back reaction problem, between Hawking radiation and the black hole, in a simplified model for the black hole evaporation in the quantum geometrodynamics context. The idea is to transcribe the most important characteristics of the Wheeler-DeWitt equation into a Schrodinger's type of equation. Subsequently, we consider Hawking radiation and black hole quantum states evolution under the influence of a potential that includes back reaction. Finally, entropy is estimated as a measure of the entanglement between the black hole and Hawking radiation states in this model.

Automated summary

This paper analyses the back reaction problem between Hawking radiation and black holes in a simplified model for black hole evaporation in the context of quantum geometrodynamics. The Wheeler-DeWitt equation characteristics are transcribed into a Schrodinger's type of equation, and Hawking radiation and black hole quantum states evolution are considered under the influence of a potential including back reaction. Finally, entropy is estimated as a measure of the entanglement between black hole and Hawking radiation states in this model.