Quantum thermodynamics in the interior of a Reissner–Nordström black-hole

Autores
Musmarra, Juan Ignacio; Bellini, Mauricio
Año de publicación
2020
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We study the interior of a Reissner–Nordström Black-Hole (RNBH) using Relativistic Quantum Geometry, which was introduced in some previous works. We found discrete energy levels for a scalar field from a polynomial condition for the Heun Confluent functions expanded around the effective causal radius r∗. From the solutions it is obtained that the uncertainty principle is valid for each energy level of space–time, in the form: Enr∗,n=ħ∕2, and the charged mass is discretized and distributed in a finite number of states. The classical RNBH entropy is recovered as the limit case where the number of states is very large, and the RNBH quantum temperature depends on the number of states in the interior of the RNBH. This temperature, depending of the number of states of the RNBH, is related with the Bekenstein–Hawking (BH) temperature: TBH≤TN<2TBH.
Fil: Musmarra, Juan Ignacio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Físicas de Mar del Plata; Argentina
Fil: Bellini, Mauricio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Físicas de Mar del Plata; Argentina
Materia
INTERIOR OF CHARGED BLACK-HOLES
QUANTUM THERMODYNAMICS
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/143411
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Quantum thermodynamics in the interior of a Reissner–Nordström black-holeMusmarra, Juan IgnacioBellini, MauricioINTERIOR OF CHARGED BLACK-HOLESQUANTUM THERMODYNAMICShttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We study the interior of a Reissner–Nordström Black-Hole (RNBH) using Relativistic Quantum Geometry, which was introduced in some previous works. We found discrete energy levels for a scalar field from a polynomial condition for the Heun Confluent functions expanded around the effective causal radius r∗. From the solutions it is obtained that the uncertainty principle is valid for each energy level of space–time, in the form: Enr∗,n=ħ∕2, and the charged mass is discretized and distributed in a finite number of states. The classical RNBH entropy is recovered as the limit case where the number of states is very large, and the RNBH quantum temperature depends on the number of states in the interior of the RNBH. This temperature, depending of the number of states of the RNBH, is related with the Bekenstein–Hawking (BH) temperature: TBH≤TN<2TBH.Fil: Musmarra, Juan Ignacio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Físicas de Mar del Plata; ArgentinaFil: Bellini, Mauricio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Físicas de Mar del Plata; ArgentinaElsevier2020-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/143411Musmarra, Juan Ignacio; Bellini, Mauricio; Quantum thermodynamics in the interior of a Reissner–Nordström black-hole; Elsevier; Physics of the Dark Universe; 30; 100710; 12-2020; 1-52212-6864CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S2212686420304234info:eu-repo/semantics/altIdentifier/doi/10.1016/j.dark.2020.100710info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:48:30Zoai:ri.conicet.gov.ar:11336/143411instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-03 09:48:30.936CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Quantum thermodynamics in the interior of a Reissner–Nordström black-hole
title Quantum thermodynamics in the interior of a Reissner–Nordström black-hole
spellingShingle Quantum thermodynamics in the interior of a Reissner–Nordström black-hole
Musmarra, Juan Ignacio
INTERIOR OF CHARGED BLACK-HOLES
QUANTUM THERMODYNAMICS
title_short Quantum thermodynamics in the interior of a Reissner–Nordström black-hole
title_full Quantum thermodynamics in the interior of a Reissner–Nordström black-hole
title_fullStr Quantum thermodynamics in the interior of a Reissner–Nordström black-hole
title_full_unstemmed Quantum thermodynamics in the interior of a Reissner–Nordström black-hole
title_sort Quantum thermodynamics in the interior of a Reissner–Nordström black-hole
dc.creator.none.fl_str_mv Musmarra, Juan Ignacio
Bellini, Mauricio
author Musmarra, Juan Ignacio
author_facet Musmarra, Juan Ignacio
Bellini, Mauricio
author_role author
author2 Bellini, Mauricio
author2_role author
dc.subject.none.fl_str_mv INTERIOR OF CHARGED BLACK-HOLES
QUANTUM THERMODYNAMICS
topic INTERIOR OF CHARGED BLACK-HOLES
QUANTUM THERMODYNAMICS
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We study the interior of a Reissner–Nordström Black-Hole (RNBH) using Relativistic Quantum Geometry, which was introduced in some previous works. We found discrete energy levels for a scalar field from a polynomial condition for the Heun Confluent functions expanded around the effective causal radius r∗. From the solutions it is obtained that the uncertainty principle is valid for each energy level of space–time, in the form: Enr∗,n=ħ∕2, and the charged mass is discretized and distributed in a finite number of states. The classical RNBH entropy is recovered as the limit case where the number of states is very large, and the RNBH quantum temperature depends on the number of states in the interior of the RNBH. This temperature, depending of the number of states of the RNBH, is related with the Bekenstein–Hawking (BH) temperature: TBH≤TN<2TBH.
Fil: Musmarra, Juan Ignacio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Físicas de Mar del Plata; Argentina
Fil: Bellini, Mauricio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Físicas de Mar del Plata; Argentina
description We study the interior of a Reissner–Nordström Black-Hole (RNBH) using Relativistic Quantum Geometry, which was introduced in some previous works. We found discrete energy levels for a scalar field from a polynomial condition for the Heun Confluent functions expanded around the effective causal radius r∗. From the solutions it is obtained that the uncertainty principle is valid for each energy level of space–time, in the form: Enr∗,n=ħ∕2, and the charged mass is discretized and distributed in a finite number of states. The classical RNBH entropy is recovered as the limit case where the number of states is very large, and the RNBH quantum temperature depends on the number of states in the interior of the RNBH. This temperature, depending of the number of states of the RNBH, is related with the Bekenstein–Hawking (BH) temperature: TBH≤TN<2TBH.
publishDate 2020
dc.date.none.fl_str_mv 2020-12
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/143411
Musmarra, Juan Ignacio; Bellini, Mauricio; Quantum thermodynamics in the interior of a Reissner–Nordström black-hole; Elsevier; Physics of the Dark Universe; 30; 100710; 12-2020; 1-5
2212-6864
CONICET Digital
CONICET
url http://hdl.handle.net/11336/143411
identifier_str_mv Musmarra, Juan Ignacio; Bellini, Mauricio; Quantum thermodynamics in the interior of a Reissner–Nordström black-hole; Elsevier; Physics of the Dark Universe; 30; 100710; 12-2020; 1-5
2212-6864
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S2212686420304234
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.dark.2020.100710
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.13397

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