Hawking radiation and black hole gravitational back reaction - A quantum geometrodynamical simplified model
arXiv:2108.06187 · doi:10.3390/universe7080297
Abstract
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 Schrödinger'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.
arXiv comment19 pages, 5 figures. Version accepted for publication in Universe, MDPI
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