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

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: João Marto
Format: Article
Language:English
Published: MDPI AG 2021-08-01
Series:Universe
Subjects:
quantum gravity
Hawking radiation
entanglement entropy
Online Access:https://www.mdpi.com/2218-1997/7/8/297
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spelling doaj-0414c2d894a54ae1ad9602470c6751f52021-08-26T14:25:23ZengMDPI AGUniverse2218-19972021-08-01729729710.3390/universe7080297Hawking Radiation and Black Hole Gravitational Back Reaction—A Quantum Geometrodynamical Simplified ModelJoão Marto0Departamento de Física, Universidade da Beira Interior, Rua Marquês D’Ávila e Bolama, 6200-001 Covilhã, PortugalThe 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.https://www.mdpi.com/2218-1997/7/8/297quantum gravityHawking radiationentanglement entropy
collection DOAJ
language English
format Article
sources DOAJ
author João Marto
spellingShingle João Marto
Hawking Radiation and Black Hole Gravitational Back Reaction—A Quantum Geometrodynamical Simplified Model
Universe
quantum gravity
Hawking radiation
entanglement entropy
author_facet João Marto
author_sort João Marto
title Hawking Radiation and Black Hole Gravitational Back Reaction—A Quantum Geometrodynamical Simplified Model
title_short Hawking Radiation and Black Hole Gravitational Back Reaction—A Quantum Geometrodynamical Simplified Model
title_full Hawking Radiation and Black Hole Gravitational Back Reaction—A Quantum Geometrodynamical Simplified Model
title_fullStr Hawking Radiation and Black Hole Gravitational Back Reaction—A Quantum Geometrodynamical Simplified Model
title_full_unstemmed Hawking Radiation and Black Hole Gravitational Back Reaction—A Quantum Geometrodynamical Simplified Model
title_sort hawking radiation and black hole gravitational back reaction—a quantum geometrodynamical simplified model
publisher MDPI AG
series Universe
issn 2218-1997
publishDate 2021-08-01
description 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.
topic quantum gravity
Hawking radiation
entanglement entropy
url https://www.mdpi.com/2218-1997/7/8/297
work_keys_str_mv AT joaomarto hawkingradiationandblackholegravitationalbackreactionaquantumgeometrodynamicalsimplifiedmodel
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