Classical axisymmetric gravity in real Ashtekar variables

Gambini, Rodolfo H. - Mato Capurro, Esteban - Olmedo, Javier - Pullin, Jorge

Resumen:

We formulate axisymmetric general relativity in terms of real Ashtekar–Barbero variables. We study the constraints and equations of motion and show how the Kerr, Schwarzschild and Minkowski solutions arise. We also discuss boundary conditions. This opens the possibility of a midisuperspace quantization using loop quantum gravity techniques for spacetimes with axial symmetry and time dependence.


Detalles Bibliográficos
2019
ANII: FCE_1_2019_1_155865
AXIAL SYMMETRY
BOUNDARY CONDITIONS
EQUATIONS OF MOTION
GENERAL RELATIVITY THEORY
GRAVITATION
LIMITING VALUES
LOOP QUANTUM GRAVITY
MINKOWSKI SPACE
QUANTIZATION
SPACE-TIME
Inglés
Universidad de la República
COLIBRI
https://hdl.handle.net/20.500.12008/39889
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 Mato Capurro, Esteban
Olmedo, Javier
Pullin, Jorge
author2_role author
author
author
author_facet Gambini, Rodolfo H.
Mato Capurro, Esteban
Olmedo, Javier
Pullin, Jorge
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.
Mato Capurro Esteban, Universidad de la República (Uruguay). Facultad de Ciencias. Instituto de Física.
Olmedo Javier, Penn State University
Pullin Jorge, Louisiana State University
dc.creator.none.fl_str_mv Gambini, Rodolfo H.
Mato Capurro, Esteban
Olmedo, Javier
Pullin, Jorge
dc.date.accessioned.none.fl_str_mv 2023-09-13T17:02:27Z
dc.date.available.none.fl_str_mv 2023-09-13T17:02:27Z
dc.date.issued.none.fl_str_mv 2019
dc.description.abstract.none.fl_txt_mv We formulate axisymmetric general relativity in terms of real Ashtekar–Barbero variables. We study the constraints and equations of motion and show how the Kerr, Schwarzschild and Minkowski solutions arise. We also discuss boundary conditions. This opens the possibility of a midisuperspace quantization using loop quantum gravity techniques for spacetimes with axial symmetry and time dependence.
dc.description.es.fl_txt_mv Publicado también en: Classical and Quantum Gravity, 2022, 36(12): 125009. DOI: 0.1088/1361-6382/ab1d82
dc.description.sponsorship.none.fl_txt_mv ANII: FCE_1_2019_1_155865
dc.format.extent.es.fl_str_mv 15 h.
dc.format.mimetype.es.fl_str_mv application/pdf
dc.identifier.citation.es.fl_str_mv Gambini, R, Mato Capurro, E, Olmedo, J [y otro autor]. "Classical axisymmetric gravity in real Ashtekar variables". General Relativity and Quantum Cosmology. [en línea] 2019 2019, arXiv:1812.05403, Mayy 2019. 15 h. DOI: 10.48550/arXiv.1812.05403
dc.identifier.doi.none.fl_str_mv 10.48550/arXiv.1812.05403
dc.identifier.uri.none.fl_str_mv https://hdl.handle.net/20.500.12008/39889
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, 2019, arXiv:1812.05403, Mayy 2019
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.other.es.fl_str_mv AXIAL SYMMETRY
BOUNDARY CONDITIONS
EQUATIONS OF MOTION
GENERAL RELATIVITY THEORY
GRAVITATION
LIMITING VALUES
LOOP QUANTUM GRAVITY
MINKOWSKI SPACE
QUANTIZATION
SPACE-TIME
dc.title.none.fl_str_mv Classical axisymmetric gravity in real Ashtekar variables
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 and Quantum Gravity, 2022, 36(12): 125009. DOI: 0.1088/1361-6382/ab1d82
eu_rights_str_mv openAccess
format preprint
id COLIBRI_c737e97dcdc62ad6c4c2e9a0293a5343
identifier_str_mv Gambini, R, Mato Capurro, E, Olmedo, J [y otro autor]. "Classical axisymmetric gravity in real Ashtekar variables". General Relativity and Quantum Cosmology. [en línea] 2019 2019, arXiv:1812.05403, Mayy 2019. 15 h. DOI: 10.48550/arXiv.1812.05403
10.48550/arXiv.1812.05403
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
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publishDate 2019
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.Mato Capurro Esteban, Universidad de la República (Uruguay). Facultad de Ciencias. Instituto de Física.Olmedo Javier, Penn State UniversityPullin Jorge, Louisiana State University2023-09-13T17:02:27Z2023-09-13T17:02:27Z2019Gambini, R, Mato Capurro, E, Olmedo, J [y otro autor]. "Classical axisymmetric gravity in real Ashtekar variables". General Relativity and Quantum Cosmology. [en línea] 2019 2019, arXiv:1812.05403, Mayy 2019. 15 h. DOI: 10.48550/arXiv.1812.05403https://hdl.handle.net/20.500.12008/3988910.48550/arXiv.1812.05403Publicado también en: Classical and Quantum Gravity, 2022, 36(12): 125009. DOI: 0.1088/1361-6382/ab1d82We formulate axisymmetric general relativity in terms of real Ashtekar–Barbero variables. We study the constraints and equations of motion and show how the Kerr, Schwarzschild and Minkowski solutions arise. We also discuss boundary conditions. This opens the possibility of a midisuperspace quantization using loop quantum gravity techniques for spacetimes with axial symmetry and time dependence.Submitted by Faget Cecilia (lfaget@fcien.edu.uy) on 2023-09-13T16:53:04Z No. of bitstreams: 2 license_rdf: 23149 bytes, checksum: 1996b8461bc290aef6a27d78c67b6b52 (MD5) 1812.05403.pdf: 170411 bytes, checksum: 1d552ee375ebf31526d0973d58d4489f (MD5)Approved for entry into archive by Faget Cecilia (lfaget@fcien.edu.uy) on 2023-09-13T16:53:28Z (GMT) No. of bitstreams: 2 license_rdf: 23149 bytes, checksum: 1996b8461bc290aef6a27d78c67b6b52 (MD5) 1812.05403.pdf: 170411 bytes, checksum: 1d552ee375ebf31526d0973d58d4489f (MD5)Made available in DSpace by Luna Fabiana (fabiana.luna@seciu.edu.uy) on 2023-09-13T17:02:27Z (GMT). No. of bitstreams: 2 license_rdf: 23149 bytes, checksum: 1996b8461bc290aef6a27d78c67b6b52 (MD5) 1812.05403.pdf: 170411 bytes, checksum: 1d552ee375ebf31526d0973d58d4489f (MD5) Previous issue date: 2019ANII: FCE_1_2019_1_15586515 h.application/pdfenengarXivGeneral Relativity and Quantum Cosmology, 2019, arXiv:1812.05403, Mayy 2019Las 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)AXIAL SYMMETRYBOUNDARY CONDITIONSEQUATIONS OF MOTIONGENERAL RELATIVITY THEORYGRAVITATIONLIMITING VALUESLOOP QUANTUM GRAVITYMINKOWSKI SPACEQUANTIZATIONSPACE-TIMEClassical axisymmetric gravity in real Ashtekar variablesPreprintinfo:eu-repo/semantics/preprintinfo:eu-repo/semantics/submittedVersionreponame:COLIBRIinstname:Universidad de la Repúblicainstacron:Universidad de la RepúblicaGambini, Rodolfo H.Mato Capurro, EstebanOlmedo, JavierPullin, JorgeLICENSElicense.txtlicense.txttext/plain; charset=utf-84267http://localhost:8080/xmlui/bitstream/20.500.12008/39889/5/license.txt6429389a7df7277b72b7924fdc7d47a9MD55CC-LICENSElicense_urllicense_urltext/plain; charset=utf-850http://localhost:8080/xmlui/bitstream/20.500.12008/39889/2/license_urla006180e3f5b2ad0b88185d14284c0e0MD52license_textlicense_texttext/html; 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- Universidad de la Repúblicafalse
spellingShingle Classical axisymmetric gravity in real Ashtekar variables
Gambini, Rodolfo H.
AXIAL SYMMETRY
BOUNDARY CONDITIONS
EQUATIONS OF MOTION
GENERAL RELATIVITY THEORY
GRAVITATION
LIMITING VALUES
LOOP QUANTUM GRAVITY
MINKOWSKI SPACE
QUANTIZATION
SPACE-TIME
status_str submittedVersion
title Classical axisymmetric gravity in real Ashtekar variables
title_full Classical axisymmetric gravity in real Ashtekar variables
title_fullStr Classical axisymmetric gravity in real Ashtekar variables
title_full_unstemmed Classical axisymmetric gravity in real Ashtekar variables
title_short Classical axisymmetric gravity in real Ashtekar variables
title_sort Classical axisymmetric gravity in real Ashtekar variables
topic AXIAL SYMMETRY
BOUNDARY CONDITIONS
EQUATIONS OF MOTION
GENERAL RELATIVITY THEORY
GRAVITATION
LIMITING VALUES
LOOP QUANTUM GRAVITY
MINKOWSKI SPACE
QUANTIZATION
SPACE-TIME
url https://hdl.handle.net/20.500.12008/39889

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