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
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/129860
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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 Técnicas2025-09-03T09:50:32Zoai: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:34982025-09-03 09:50:32.605CONICET 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 |
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1842269036860145664 |
score |
13.13397 |