Routh reduction of palatini gravity in vacuum

Autores
Capriotti, Santiago
Año de publicación
2020
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
An interpretation of Einstein–Hilbert gravity equations as Lagrangian reduction of Palatini gravity is made. The main technique involved in this task consists in representing the equations of motion as a set of differential forms on a suitable bundle. In this setting Einstein–Hilbert gravity can be considered as a kind of Routh reduction of the underlying field theory for Palatini gravity. As a byproduct of this approach, a novel set of conditions for the existence of a vielbein for a given metric is found.
Fil: Capriotti, Santiago. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; Argentina
Materia
FRAME BUNDLE
PALATINI GRAVITY
SYMMETRY REDUCTION
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/129860
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Routh reduction of palatini gravity in vacuumCapriotti, SantiagoFRAME BUNDLEPALATINI GRAVITYSYMMETRY REDUCTIONhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1An interpretation of Einstein–Hilbert gravity equations as Lagrangian reduction of Palatini gravity is made. The main technique involved in this task consists in representing the equations of motion as a set of differential forms on a suitable bundle. In this setting Einstein–Hilbert gravity can be considered as a kind of Routh reduction of the underlying field theory for Palatini gravity. As a byproduct of this approach, a novel set of conditions for the existence of a vielbein for a given metric is found.Fil: Capriotti, Santiago. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; ArgentinaNational Academy of Sciences of Ukraine2020-05-30info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/129860Capriotti, Santiago; Routh reduction of palatini gravity in vacuum; National Academy of Sciences of Ukraine; Symmetry, Integrability And Geometry; 16; 30-5-2020; 1-501815-0659CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.3842/SIGMA.2020.046info:eu-repo/semantics/altIdentifier/url/https://www.emis.de/journals/SIGMA/2020/046/info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1909.10088info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:45:32Zoai:ri.conicet.gov.ar:11336/129860instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 09:45:32.638CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Routh reduction of palatini gravity in vacuum
title Routh reduction of palatini gravity in vacuum
spellingShingle Routh reduction of palatini gravity in vacuum
Capriotti, Santiago
FRAME BUNDLE
PALATINI GRAVITY
SYMMETRY REDUCTION
title_short Routh reduction of palatini gravity in vacuum
title_full Routh reduction of palatini gravity in vacuum
title_fullStr Routh reduction of palatini gravity in vacuum
title_full_unstemmed Routh reduction of palatini gravity in vacuum
title_sort Routh reduction of palatini gravity in vacuum
dc.creator.none.fl_str_mv Capriotti, Santiago
author Capriotti, Santiago
author_facet Capriotti, Santiago
author_role author
dc.subject.none.fl_str_mv FRAME BUNDLE
PALATINI GRAVITY
SYMMETRY REDUCTION
topic FRAME BUNDLE
PALATINI GRAVITY
SYMMETRY REDUCTION
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv An interpretation of Einstein–Hilbert gravity equations as Lagrangian reduction of Palatini gravity is made. The main technique involved in this task consists in representing the equations of motion as a set of differential forms on a suitable bundle. In this setting Einstein–Hilbert gravity can be considered as a kind of Routh reduction of the underlying field theory for Palatini gravity. As a byproduct of this approach, a novel set of conditions for the existence of a vielbein for a given metric is found.
Fil: Capriotti, Santiago. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; Argentina
description An interpretation of Einstein–Hilbert gravity equations as Lagrangian reduction of Palatini gravity is made. The main technique involved in this task consists in representing the equations of motion as a set of differential forms on a suitable bundle. In this setting Einstein–Hilbert gravity can be considered as a kind of Routh reduction of the underlying field theory for Palatini gravity. As a byproduct of this approach, a novel set of conditions for the existence of a vielbein for a given metric is found.
publishDate 2020
dc.date.none.fl_str_mv 2020-05-30
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/129860
Capriotti, Santiago; Routh reduction of palatini gravity in vacuum; National Academy of Sciences of Ukraine; Symmetry, Integrability And Geometry; 16; 30-5-2020; 1-50
1815-0659
CONICET Digital
CONICET
url http://hdl.handle.net/11336/129860
identifier_str_mv Capriotti, Santiago; Routh reduction of palatini gravity in vacuum; National Academy of Sciences of Ukraine; Symmetry, Integrability And Geometry; 16; 30-5-2020; 1-50
1815-0659
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.3842/SIGMA.2020.046
info:eu-repo/semantics/altIdentifier/url/https://www.emis.de/journals/SIGMA/2020/046/
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1909.10088
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv National Academy of Sciences of Ukraine
publisher.none.fl_str_mv National Academy of Sciences of Ukraine
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1844613426795511808
score 13.070432

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