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 i...

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Bibliographic Details
Main Author: Marto, João (author)
Format: article
Language:eng
Published: 2021
Subjects:
Online Access:http://hdl.handle.net/10400.6/11202
Country:Portugal
Oai:oai:ubibliorum.ubi.pt:10400.6/11202
Description
Summary: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.