Spherically symmetric loop quantum gravity: analysis of improved dynamics

Gambini, Rodolfo H. - Olmedo, J. - Pullin, J.

Resumen:

We study the 'improved dynamics' for the treatment of spherically symmetric space-times in loop quantum gravity introduced by Chiou et al in analogy with the one that has been constructed by Ashtekar, Pawlowski and Singh for the homogeneous space-times. In this dynamics the polymerization parameter is a well motivated function of the dynamical variables, reflecting the fact that the quantum of area depends on them. Contrary to the homogeneous case, its implementation does not trigger undesirable physical properties. We identify semiclassical physical states in the quantum theory and derive the corresponding effective semiclassical metrics. We then discuss some of their properties. Concretely, the space-time approaches sufficiently fast the Schwarzschild geometry at low curvatures. Besides, regions where the singularity is in the classical theory get replaced by a regular but discrete effective geometry with finite and Planck order curvature, regardless of the mass of the black hole. This circumvents trans-Planckian curvatures that appeared for astrophysical black holes in the quantization scheme without the improvement. It makes the resolution of the singularity more in line with the one observed in models that use the isometry of the interior of a Schwarzschild black hole with the Kantowski–Sachs loop quantum cosmologies. One can observe the emergence of effective violations of the null energy condition in the interior of the black hole as part of the mechanism of the elimination of the singularity.


Detalles Bibliográficos
2020
ANII: FCE_1_2019_1_155865
Spherically symmetric spacetimes
Loop quantum gravity
Improved dynamics
Inglés
Universidad de la República
COLIBRI
https://hdl.handle.net/20.500.12008/31792
Acceso abierto
Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)
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author Gambini, Rodolfo H.
author2 Olmedo, J.
Pullin, J.
author2_role author
author
author_facet Gambini, Rodolfo H.
Olmedo, J.
Pullin, J.
author_role author
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collection COLIBRI
dc.contributor.filiacion.none.fl_str_mv Gambini Rodolfo H., Universidad de la República (Uruguay). Facultad de Ciencias. Instituto de Física.
Olmedo J.
Pullin J.
dc.creator.none.fl_str_mv Gambini, Rodolfo H.
Olmedo, J.
Pullin, J.
dc.date.accessioned.none.fl_str_mv 2022-06-02T11:58:49Z
dc.date.available.none.fl_str_mv 2022-06-02T11:58:49Z
dc.date.issued.none.fl_str_mv 2020
dc.description.abstract.none.fl_txt_mv We study the 'improved dynamics' for the treatment of spherically symmetric space-times in loop quantum gravity introduced by Chiou et al in analogy with the one that has been constructed by Ashtekar, Pawlowski and Singh for the homogeneous space-times. In this dynamics the polymerization parameter is a well motivated function of the dynamical variables, reflecting the fact that the quantum of area depends on them. Contrary to the homogeneous case, its implementation does not trigger undesirable physical properties. We identify semiclassical physical states in the quantum theory and derive the corresponding effective semiclassical metrics. We then discuss some of their properties. Concretely, the space-time approaches sufficiently fast the Schwarzschild geometry at low curvatures. Besides, regions where the singularity is in the classical theory get replaced by a regular but discrete effective geometry with finite and Planck order curvature, regardless of the mass of the black hole. This circumvents trans-Planckian curvatures that appeared for astrophysical black holes in the quantization scheme without the improvement. It makes the resolution of the singularity more in line with the one observed in models that use the isometry of the interior of a Schwarzschild black hole with the Kantowski–Sachs loop quantum cosmologies. One can observe the emergence of effective violations of the null energy condition in the interior of the black hole as part of the mechanism of the elimination of the singularity.
dc.description.es.fl_txt_mv Versión permitida: preprint. IOP Publishing
dc.description.sponsorship.none.fl_txt_mv ANII: FCE_1_2019_1_155865
dc.format.extent.es.fl_str_mv 26 h.
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dc.identifier.citation.es.fl_str_mv Gambini, R, Olmedo, J y Pullin, J. "Spherically symmetric loop quantum gravity: analysis of improved dynamics" [Preprint]. Publicado en: Classical and Quantum Gravity, 2020, 37(20): 205012 DOI: 10.1088/1361-6382/aba842
dc.identifier.uri.none.fl_str_mv https://hdl.handle.net/20.500.12008/31792
dc.language.iso.none.fl_str_mv en
eng
dc.rights.license.none.fl_str_mv Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
dc.source.none.fl_str_mv reponame:COLIBRI
instname:Universidad de la República
instacron:Universidad de la República
dc.subject.es.fl_str_mv Spherically symmetric spacetimes
Loop quantum gravity
Improved dynamics
dc.title.none.fl_str_mv Spherically symmetric loop quantum gravity: analysis of improved dynamics
dc.type.es.fl_str_mv Preprint
dc.type.none.fl_str_mv info:eu-repo/semantics/preprint
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description Versión permitida: preprint. IOP Publishing
eu_rights_str_mv openAccess
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identifier_str_mv Gambini, R, Olmedo, J y Pullin, J. "Spherically symmetric loop quantum gravity: analysis of improved dynamics" [Preprint]. Publicado en: Classical and Quantum Gravity, 2020, 37(20): 205012 DOI: 10.1088/1361-6382/aba842
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publishDate 2020
reponame_str COLIBRI
repository.mail.fl_str_mv mabel.seroubian@seciu.edu.uy
repository.name.fl_str_mv COLIBRI - Universidad de la República
repository_id_str 4771
rights_invalid_str_mv Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)
spelling Gambini Rodolfo H., Universidad de la República (Uruguay). Facultad de Ciencias. Instituto de Física.Olmedo J.Pullin J.2022-06-02T11:58:49Z2022-06-02T11:58:49Z2020Gambini, R, Olmedo, J y Pullin, J. "Spherically symmetric loop quantum gravity: analysis of improved dynamics" [Preprint]. Publicado en: Classical and Quantum Gravity, 2020, 37(20): 205012 DOI: 10.1088/1361-6382/aba842https://hdl.handle.net/20.500.12008/31792Versión permitida: preprint. IOP PublishingWe study the 'improved dynamics' for the treatment of spherically symmetric space-times in loop quantum gravity introduced by Chiou et al in analogy with the one that has been constructed by Ashtekar, Pawlowski and Singh for the homogeneous space-times. In this dynamics the polymerization parameter is a well motivated function of the dynamical variables, reflecting the fact that the quantum of area depends on them. Contrary to the homogeneous case, its implementation does not trigger undesirable physical properties. We identify semiclassical physical states in the quantum theory and derive the corresponding effective semiclassical metrics. We then discuss some of their properties. Concretely, the space-time approaches sufficiently fast the Schwarzschild geometry at low curvatures. Besides, regions where the singularity is in the classical theory get replaced by a regular but discrete effective geometry with finite and Planck order curvature, regardless of the mass of the black hole. This circumvents trans-Planckian curvatures that appeared for astrophysical black holes in the quantization scheme without the improvement. It makes the resolution of the singularity more in line with the one observed in models that use the isometry of the interior of a Schwarzschild black hole with the Kantowski–Sachs loop quantum cosmologies. One can observe the emergence of effective violations of the null energy condition in the interior of the black hole as part of the mechanism of the elimination of the singularity.Submitted by Faget Cecilia (lfaget@fcien.edu.uy) on 2022-06-01T17:29:34Z No. of bitstreams: 2 license_rdf: 23149 bytes, checksum: 1996b8461bc290aef6a27d78c67b6b52 (MD5) 10.10881361-6382aba842.pdf: 749524 bytes, checksum: 097b7985ffc9d60c76e35bcb192bb9f2 (MD5)Approved for entry into archive by Faget Cecilia (lfaget@fcien.edu.uy) on 2022-06-01T17:29:49Z (GMT) No. of bitstreams: 2 license_rdf: 23149 bytes, checksum: 1996b8461bc290aef6a27d78c67b6b52 (MD5) 10.10881361-6382aba842.pdf: 749524 bytes, checksum: 097b7985ffc9d60c76e35bcb192bb9f2 (MD5)Made available in DSpace by Luna Fabiana (fabiana.luna@seciu.edu.uy) on 2022-06-02T11:58:49Z (GMT). No. of bitstreams: 2 license_rdf: 23149 bytes, checksum: 1996b8461bc290aef6a27d78c67b6b52 (MD5) 10.10881361-6382aba842.pdf: 749524 bytes, checksum: 097b7985ffc9d60c76e35bcb192bb9f2 (MD5) Previous issue date: 2020ANII: FCE_1_2019_1_15586526 h.application/pdfenengLas obras depositadas en el Repositorio se rigen por la Ordenanza de los Derechos de la Propiedad Intelectual de la Universidad de la República.(Res. Nº 91 de C.D.C. de 8/III/1994 – D.O. 7/IV/1994) y por la Ordenanza del Repositorio Abierto de la Universidad de la República (Res. 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- Universidad de la Repúblicafalse
spellingShingle Spherically symmetric loop quantum gravity: analysis of improved dynamics
Gambini, Rodolfo H.
Spherically symmetric spacetimes
Loop quantum gravity
Improved dynamics
status_str submittedVersion
title Spherically symmetric loop quantum gravity: analysis of improved dynamics
title_full Spherically symmetric loop quantum gravity: analysis of improved dynamics
title_fullStr Spherically symmetric loop quantum gravity: analysis of improved dynamics
title_full_unstemmed Spherically symmetric loop quantum gravity: analysis of improved dynamics
title_short Spherically symmetric loop quantum gravity: analysis of improved dynamics
title_sort Spherically symmetric loop quantum gravity: analysis of improved dynamics
topic Spherically symmetric spacetimes
Loop quantum gravity
Improved dynamics
url https://hdl.handle.net/20.500.12008/31792