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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| Format: | Article |
| Language: | English |
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MDPI AG
2021-08-01
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| Series: | Universe |
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| Online Access: | https://www.mdpi.com/2218-1997/7/8/297 |
| _version_ | 1797521906916655104 |
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| author | João Marto |
| author_facet | João Marto |
| author_sort | João Marto |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-03-10T08:19:10Z |
| format | Article |
| id | doaj.art-0414c2d894a54ae1ad9602470c6751f5 |
| institution | Directory Open Access Journal |
| issn | 2218-1997 |
| language | English |
| last_indexed | 2024-03-10T08:19:10Z |
| publishDate | 2021-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Universe |
| spelling | doaj.art-0414c2d894a54ae1ad9602470c6751f52023-11-22T10:05:53ZengMDPI AGUniverse2218-19972021-08-017829710.3390/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 |
| spellingShingle | João Marto Hawking Radiation and Black Hole Gravitational Back Reaction—A Quantum Geometrodynamical Simplified Model Universe quantum gravity Hawking radiation entanglement entropy |
| title | 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_short | 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 |
| topic | quantum gravity Hawking radiation entanglement entropy |
| url | https://www.mdpi.com/2218-1997/7/8/297 |
| work_keys_str_mv | AT joaomarto hawkingradiationandblackholegravitationalbackreactionaquantumgeometrodynamicalsimplifiedmodel |