Loop quantum gravity of a spherically symmetric scalar field coupled to gravity with a clock
Resumen:
The inclusion of matter fields in spherically symmetric loop quantum gravity has proved problematic at the level of implementing the constraint algebra including the Hamiltonian constraint. Here we consider the system with the introduction of a clock. Using the abelianizaton technique we introduced in previous papers in the case of gravity coupled to matter, the system can be gauge fixed and rewritten in terms of a restricted set of dynamical variables that satisfy simple Poisson bracket relations. This creates a true Hamiltonian and therefore one bypasses the issue of the constraint algebra. We show how loop quantum gravity techniques may be applied for the vacuum case and show that the Hamiltonian system reproduces previous results for the physical space of states and the observables of a Schwarzchild black hole.
| 2023 | |
| ANII: FCE_1_2019_1_155865 | |
|
Spherical symmetry Loop quantum gravity Gravity coupled to a clock General Relativity and Quantum Cosmology |
|
| Inglés | |
| Universidad de la República | |
| COLIBRI | |
| https://hdl.handle.net/20.500.12008/44922 | |
| Acceso abierto | |
| Licencia Creative Commons Atribución (CC - By 4.0) |
| _version_ | 1807522930335154176 |
|---|---|
| author | Gambini, Rodolfo H. |
| author2 | Pullin, Jorge |
| author2_role | author |
| author_facet | Gambini, Rodolfo H. Pullin, Jorge |
| author_role | author |
| bitstream.checksum.fl_str_mv | 6429389a7df7277b72b7924fdc7d47a9 a0ebbeafb9d2ec7cbb19d7137ebc392c a34a400dd0046b3aef60f72471c4f991 71ed42ef0a0b648670f707320be37b90 ca7644279d6d6094be33606a7cf7110f |
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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. Pullin Jorge, Louisiana State University |
| dc.creator.none.fl_str_mv | Gambini, Rodolfo H. Pullin, Jorge |
| dc.date.accessioned.none.fl_str_mv | 2024-07-25T17:39:30Z |
| dc.date.available.none.fl_str_mv | 2024-07-25T17:39:30Z |
| dc.date.issued.none.fl_str_mv | 2023 |
| dc.description.abstract.none.fl_txt_mv | The inclusion of matter fields in spherically symmetric loop quantum gravity has proved problematic at the level of implementing the constraint algebra including the Hamiltonian constraint. Here we consider the system with the introduction of a clock. Using the abelianizaton technique we introduced in previous papers in the case of gravity coupled to matter, the system can be gauge fixed and rewritten in terms of a restricted set of dynamical variables that satisfy simple Poisson bracket relations. This creates a true Hamiltonian and therefore one bypasses the issue of the constraint algebra. We show how loop quantum gravity techniques may be applied for the vacuum case and show that the Hamiltonian system reproduces previous results for the physical space of states and the observables of a Schwarzchild black hole. |
| dc.description.es.fl_txt_mv | Publicado también en: Classical en Quantom Gravity, 2023, 40(8): 085016. DOI: 10.1088/1361-6382/acc510 Versión permitida preprint. |
| dc.description.sponsorship.none.fl_txt_mv | ANII: FCE_1_2019_1_155865 |
| dc.format.mimetype.es.fl_str_mv | application/pdf |
| dc.identifier.citation.es.fl_str_mv | Gambini, R y Pullin, J. "Loop quantum gravity of a spherically symmetric scalar field coupled to gravity with a clock" [Preprint]. Publicado en: General Relativity and Quantum Cosmology, arXiv:2303.09392. DOI: 10.48550/arXiv.2303.09392. |
| dc.identifier.doi.none.fl_str_mv | 10.48550/arXiv.2303.09392 |
| dc.identifier.uri.none.fl_str_mv | https://hdl.handle.net/20.500.12008/44922 |
| dc.language.iso.none.fl_str_mv | en eng |
| dc.publisher.es.fl_str_mv | arXiv |
| dc.relation.ispartof.es.fl_str_mv | General Relativity and Quantum Cosmology, arXiv:2303.09392 |
| dc.rights.license.none.fl_str_mv | Licencia Creative Commons Atribución (CC - By 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 | Spherical symmetry Loop quantum gravity Gravity coupled to a clock General Relativity and Quantum Cosmology |
| dc.title.none.fl_str_mv | Loop quantum gravity of a spherically symmetric scalar field coupled to gravity with a clock |
| 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 | Publicado también en: Classical en Quantom Gravity, 2023, 40(8): 085016. DOI: 10.1088/1361-6382/acc510 |
| eu_rights_str_mv | openAccess |
| format | preprint |
| id | COLIBRI_5aad836705ec8fb74f93c2cfbb255fbc |
| identifier_str_mv | Gambini, R y Pullin, J. "Loop quantum gravity of a spherically symmetric scalar field coupled to gravity with a clock" [Preprint]. Publicado en: General Relativity and Quantum Cosmology, arXiv:2303.09392. DOI: 10.48550/arXiv.2303.09392. 10.48550/arXiv.2303.09392 |
| 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:20.500.12008/44922 |
| publishDate | 2023 |
| 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 (CC - By 4.0) |
| spelling | Gambini Rodolfo H., Universidad de la República (Uruguay). Facultad de Ciencias. Instituto de Física.Pullin Jorge, Louisiana State University2024-07-25T17:39:30Z2024-07-25T17:39:30Z2023Gambini, R y Pullin, J. "Loop quantum gravity of a spherically symmetric scalar field coupled to gravity with a clock" [Preprint]. Publicado en: General Relativity and Quantum Cosmology, arXiv:2303.09392. DOI: 10.48550/arXiv.2303.09392.https://hdl.handle.net/20.500.12008/4492210.48550/arXiv.2303.09392Publicado también en: Classical en Quantom Gravity, 2023, 40(8): 085016. DOI: 10.1088/1361-6382/acc510Versión permitida preprint.The inclusion of matter fields in spherically symmetric loop quantum gravity has proved problematic at the level of implementing the constraint algebra including the Hamiltonian constraint. Here we consider the system with the introduction of a clock. Using the abelianizaton technique we introduced in previous papers in the case of gravity coupled to matter, the system can be gauge fixed and rewritten in terms of a restricted set of dynamical variables that satisfy simple Poisson bracket relations. This creates a true Hamiltonian and therefore one bypasses the issue of the constraint algebra. We show how loop quantum gravity techniques may be applied for the vacuum case and show that the Hamiltonian system reproduces previous results for the physical space of states and the observables of a Schwarzchild black hole.Submitted by Boretto Ana Laura (eumiba2009@gmail.com) on 2024-07-25T15:32:59Z No. of bitstreams: 2 license_rdf: 24251 bytes, checksum: 71ed42ef0a0b648670f707320be37b90 (MD5) 2303.09392v1.pdf: 166124 bytes, checksum: ca7644279d6d6094be33606a7cf7110f (MD5)Approved for entry into archive by Faget Cecilia (lfaget@fcien.edu.uy) on 2024-07-25T17:35:21Z (GMT) No. of bitstreams: 2 license_rdf: 24251 bytes, checksum: 71ed42ef0a0b648670f707320be37b90 (MD5) 2303.09392v1.pdf: 166124 bytes, checksum: ca7644279d6d6094be33606a7cf7110f (MD5)Made available in DSpace by Luna Fabiana (fabiana.luna@seciu.edu.uy) on 2024-07-25T17:39:30Z (GMT). No. of bitstreams: 2 license_rdf: 24251 bytes, checksum: 71ed42ef0a0b648670f707320be37b90 (MD5) 2303.09392v1.pdf: 166124 bytes, checksum: ca7644279d6d6094be33606a7cf7110f (MD5) Previous issue date: 2023ANII: FCE_1_2019_1_155865application/pdfenengarXivGeneral Relativity and Quantum Cosmology, arXiv:2303.09392Las 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 (CC - By 4.0)Spherical symmetryLoop quantum gravityGravity coupled to a clockGeneral Relativity and Quantum CosmologyLoop quantum gravity of a spherically symmetric scalar field coupled to gravity with a clockPreprintinfo:eu-repo/semantics/preprintinfo:eu-repo/semantics/submittedVersionreponame:COLIBRIinstname:Universidad de la Repúblicainstacron:Universidad de la RepúblicaGambini, Rodolfo H.Pullin, JorgeLICENSElicense.txtlicense.txttext/plain; charset=utf-84267http://localhost:8080/xmlui/bitstream/20.500.12008/44922/5/license.txt6429389a7df7277b72b7924fdc7d47a9MD55CC-LICENSElicense_urllicense_urltext/plain; charset=utf-844http://localhost:8080/xmlui/bitstream/20.500.12008/44922/2/license_urla0ebbeafb9d2ec7cbb19d7137ebc392cMD52license_textlicense_texttext/html; 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- Universidad de la Repúblicafalse |
| spellingShingle | Loop quantum gravity of a spherically symmetric scalar field coupled to gravity with a clock Gambini, Rodolfo H. Spherical symmetry Loop quantum gravity Gravity coupled to a clock General Relativity and Quantum Cosmology |
| status_str | submittedVersion |
| title | Loop quantum gravity of a spherically symmetric scalar field coupled to gravity with a clock |
| title_full | Loop quantum gravity of a spherically symmetric scalar field coupled to gravity with a clock |
| title_fullStr | Loop quantum gravity of a spherically symmetric scalar field coupled to gravity with a clock |
| title_full_unstemmed | Loop quantum gravity of a spherically symmetric scalar field coupled to gravity with a clock |
| title_short | Loop quantum gravity of a spherically symmetric scalar field coupled to gravity with a clock |
| title_sort | Loop quantum gravity of a spherically symmetric scalar field coupled to gravity with a clock |
| topic | Spherical symmetry Loop quantum gravity Gravity coupled to a clock General Relativity and Quantum Cosmology |
| url | https://hdl.handle.net/20.500.12008/44922 |
