Spherically symmetric loop quantum gravity: analysis of improved dynamics
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.
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) |
_version_ | 1807522790391152640 |
---|---|
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. |
dc.format.mimetype.es.fl_str_mv | application/pdf |
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 |
dc.type.version.none.fl_str_mv | info:eu-repo/semantics/submittedVersion |
description | Versión permitida: preprint. IOP Publishing |
eu_rights_str_mv | openAccess |
format | preprint |
id | COLIBRI_54dd310b2dc3b1ea6f7c6e44b3dc4a41 |
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 |
instacron_str | Universidad de la República |
institution | Universidad de la República |
instname_str | Universidad de la República |
language | eng |
language_invalid_str_mv | en |
network_acronym_str | COLIBRI |
network_name_str | COLIBRI |
oai_identifier_str | oai:colibri.udelar.edu.uy:20.500.12008/31792 |
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. Nº 16 de C.D.C. de 07/10/2014)info:eu-repo/semantics/openAccessLicencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)Spherically symmetric spacetimesLoop quantum gravityImproved dynamicsSpherically symmetric loop quantum gravity: analysis of improved dynamicsPreprintinfo:eu-repo/semantics/preprintinfo:eu-repo/semantics/submittedVersionreponame:COLIBRIinstname:Universidad de la Repúblicainstacron:Universidad de la RepúblicaGambini, Rodolfo H.Olmedo, J.Pullin, J.LICENSElicense.txtlicense.txttext/plain; charset=utf-84267http://localhost:8080/xmlui/bitstream/20.500.12008/31792/5/license.txt6429389a7df7277b72b7924fdc7d47a9MD55CC-LICENSElicense_urllicense_urltext/plain; charset=utf-850http://localhost:8080/xmlui/bitstream/20.500.12008/31792/2/license_urla006180e3f5b2ad0b88185d14284c0e0MD52license_textlicense_texttext/html; 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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 |