Extended phase space quantization of a black hole interior model in Loop Quantum Cosmology

16 pages

Detalles Bibliográficos
Autores: Elizaga Navascués, Beatriz, Mena Marugán, Guillermo A., Mínguez-Sánchez, Andrés
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2023
País:España
Institución:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/345714
Acceso en línea:http://hdl.handle.net/10261/345714
http://arxiv.org/abs/2306.06090v2
Access Level:acceso abierto
Palabra clave:General relativity
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spelling Extended phase space quantization of a black hole interior model in Loop Quantum CosmologyElizaga Navascués, BeatrizMena Marugán, Guillermo A.Mínguez-Sánchez, AndrésGeneral relativity16 pagesConsiderable attention has been paid to the study of the quantum geometry of nonrotating black holes within the framework of Loop Quantum Cosmology. This interest has been reinvigorated since the introduction of a novel effective model by Ashtekar, Olmedo, and Singh. Despite recent advances in its foundation, there are certain questions about its quantization that still remain open. Here we complete this quantization taking as starting point an extended phase space formalism suggested by several authors, including the proposers of the model. Adopting a prescription that has proven successful in Loop Quantum Cosmology, we construct an operator representation of the Hamiltonian constraint. By searching for solutions to this constraint operator in a sufficiently large set of dual states, we show that it can be solved for a continuous range of the black hole mass. This fact seems in favour of a conventional classical limit (at least for large masses) and contrasts with recent works that advocate a discrete spectrum. We present an algorithm that determines the solutions in closed form. To build the corresponding physical Hilbert space and conclude the quantization, we carry out an asymptotic analysis of those solutions, which allows us to introduce a suitable inner product on them.This work was partially supported by Project No. MICINN PID2020–118159GB-C41 from Spain, Grants No. NSF-PHY-1903799, No. NSF-PHY-2206557, and funds of the Hearne Institute for Theoretical Physics.Peer reviewedAmerican Physical SocietyMinisterio de Ciencia e Innovación (España)Horace Hearne InstituteNational Science Foundation (US)Elizaga Navascués, Beatriz [0000-0002-6242-7814]Mena Marugán, Guillermo A. [0000-0003-3378-9610]Mínguez-Sánchez, Andrés [0000-0003-3103-3182]Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]202420242023info:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501Publisher's versioninfo:eu-repo/semantics/publishedVersionhttp://hdl.handle.net/10261/345714http://arxiv.org/abs/2306.06090v2reponame:DIGITAL.CSIC. Repositorio Institucional del CSICinstname:Consejo Superior de Investigaciones Científicas (CSIC)Inglés#PLACEHOLDER_PARENT_METADATA_VALUE#info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-118159GB-C41Phys. Rev. D 108, 106001 (2023)https://doi.org/10.1103/PhysRevD.108.106001Síinfo:eu-repo/semantics/openAccessoai:digital.csic.es:10261/3457142026-05-22T06:33:51Z
dc.title.none.fl_str_mv Extended phase space quantization of a black hole interior model in Loop Quantum Cosmology
title Extended phase space quantization of a black hole interior model in Loop Quantum Cosmology
spellingShingle Extended phase space quantization of a black hole interior model in Loop Quantum Cosmology
Elizaga Navascués, Beatriz
General relativity
title_short Extended phase space quantization of a black hole interior model in Loop Quantum Cosmology
title_full Extended phase space quantization of a black hole interior model in Loop Quantum Cosmology
title_fullStr Extended phase space quantization of a black hole interior model in Loop Quantum Cosmology
title_full_unstemmed Extended phase space quantization of a black hole interior model in Loop Quantum Cosmology
title_sort Extended phase space quantization of a black hole interior model in Loop Quantum Cosmology
dc.creator.none.fl_str_mv Elizaga Navascués, Beatriz
Mena Marugán, Guillermo A.
Mínguez-Sánchez, Andrés
author Elizaga Navascués, Beatriz
author_facet Elizaga Navascués, Beatriz
Mena Marugán, Guillermo A.
Mínguez-Sánchez, Andrés
author_role author
author2 Mena Marugán, Guillermo A.
Mínguez-Sánchez, Andrés
author2_role author
author
dc.contributor.none.fl_str_mv Ministerio de Ciencia e Innovación (España)
Horace Hearne Institute
National Science Foundation (US)
Elizaga Navascués, Beatriz [0000-0002-6242-7814]
Mena Marugán, Guillermo A. [0000-0003-3378-9610]
Mínguez-Sánchez, Andrés [0000-0003-3103-3182]
Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]
dc.subject.none.fl_str_mv General relativity
topic General relativity
description 16 pages
publishDate 2023
dc.date.none.fl_str_mv 2023
2024
2024
dc.type.none.fl_str_mv info:eu-repo/semantics/article
http://purl.org/coar/resource_type/c_6501
Publisher's version
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10261/345714
http://arxiv.org/abs/2306.06090v2
url http://hdl.handle.net/10261/345714
http://arxiv.org/abs/2306.06090v2
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv #PLACEHOLDER_PARENT_METADATA_VALUE#
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-118159GB-C41
Phys. Rev. D 108, 106001 (2023)
https://doi.org/10.1103/PhysRevD.108.106001
Sí
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv reponame:DIGITAL.CSIC. Repositorio Institucional del CSIC
instname:Consejo Superior de Investigaciones Científicas (CSIC)
instname_str Consejo Superior de Investigaciones Científicas (CSIC)
reponame_str DIGITAL.CSIC. Repositorio Institucional del CSIC
collection DIGITAL.CSIC. Repositorio Institucional del CSIC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,811543

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