Griffiths variational multisymplectic formulation for Lovelock gravity

Autores
Capriotti, Santiago; Gaset, Jordi; Román Roy, Narciso; Salomone, Leandro Martin
Año de publicación
2020
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
This work is mainly devoted to constructing a multisymplectic description of Lovelock’s gravity, which is an extension of General Relativity. We establish the Griffiths variational problem for the Lovelock Lagrangian, obtaining the geometric form of the corresponding field equations. We give the unified Lagrangian-Hamiltonian formulation of this model and we study the correspondence between the unified formulations for the Einstein-Hilbert and the Einstein-Palatini models of gravity.
Fil: Capriotti, Santiago. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina. Universidad Nacional del Sur. Departamento de Matemática; Argentina
Fil: Gaset, Jordi. Universitat Autònoma de Barcelona; España
Fil: Román Roy, Narciso. Universidad Politécnica de Catalunya; España
Fil: Salomone, Leandro Martin. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Centro de Matemática de la Plata; Argentina
Materia
EINSTEIN EQUATIONS
FIELD THEORY
GRIFFITHS VARIATIONAL PROBLEM
HILBERT–EINSTEIN AND EINSTEIN–PALATINI ACTIONS
JET BUNDLES
LAGRANGIAN AND HAMILTONIAN FORMALISMS
LOVELOCK GRAVITY
MULTISYMPLECTIC MANIFOLDS
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/135198
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/135198
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Griffiths variational multisymplectic formulation for Lovelock gravityCapriotti, SantiagoGaset, JordiRomán Roy, NarcisoSalomone, Leandro MartinEINSTEIN EQUATIONSFIELD THEORYGRIFFITHS VARIATIONAL PROBLEMHILBERT–EINSTEIN AND EINSTEIN–PALATINI ACTIONSJET BUNDLESLAGRANGIAN AND HAMILTONIAN FORMALISMSLOVELOCK GRAVITYMULTISYMPLECTIC MANIFOLDShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1This work is mainly devoted to constructing a multisymplectic description of Lovelock’s gravity, which is an extension of General Relativity. We establish the Griffiths variational problem for the Lovelock Lagrangian, obtaining the geometric form of the corresponding field equations. We give the unified Lagrangian-Hamiltonian formulation of this model and we study the correspondence between the unified formulations for the Einstein-Hilbert and the Einstein-Palatini models of gravity.Fil: Capriotti, Santiago. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina. Universidad Nacional del Sur. Departamento de Matemática; ArgentinaFil: Gaset, Jordi. Universitat Autònoma de Barcelona; EspañaFil: Román Roy, Narciso. Universidad Politécnica de Catalunya; EspañaFil: Salomone, Leandro Martin. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Centro de Matemática de la Plata; ArgentinaSpringer/Plenum Publishers2020-08-24info: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/11336/135198Capriotti, Santiago; Gaset, Jordi; Román Roy, Narciso; Salomone, Leandro Martin; Griffiths variational multisymplectic formulation for Lovelock gravity; Springer/Plenum Publishers; General Relativity And Gravitation; 52; 8; 24-8-2020; 1-370001-77011572-9532CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs10714-020-02725-8info:eu-repo/semantics/altIdentifier/doi/10.1007/s10714-020-02725-8info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1911.07278v2info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-10T13:24:40Zoai:ri.conicet.gov.ar:11336/135198instacron: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:34982025-09-10 13:24:40.999CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Griffiths variational multisymplectic formulation for Lovelock gravity
title Griffiths variational multisymplectic formulation for Lovelock gravity
spellingShingle Griffiths variational multisymplectic formulation for Lovelock gravity
Capriotti, Santiago
EINSTEIN EQUATIONS
FIELD THEORY
GRIFFITHS VARIATIONAL PROBLEM
HILBERT–EINSTEIN AND EINSTEIN–PALATINI ACTIONS
JET BUNDLES
LAGRANGIAN AND HAMILTONIAN FORMALISMS
LOVELOCK GRAVITY
MULTISYMPLECTIC MANIFOLDS
title_short Griffiths variational multisymplectic formulation for Lovelock gravity
title_full Griffiths variational multisymplectic formulation for Lovelock gravity
title_fullStr Griffiths variational multisymplectic formulation for Lovelock gravity
title_full_unstemmed Griffiths variational multisymplectic formulation for Lovelock gravity
title_sort Griffiths variational multisymplectic formulation for Lovelock gravity
dc.creator.none.fl_str_mv Capriotti, Santiago
Gaset, Jordi
Román Roy, Narciso
Salomone, Leandro Martin
author Capriotti, Santiago
author_facet Capriotti, Santiago
Gaset, Jordi
Román Roy, Narciso
Salomone, Leandro Martin
author_role author
author2 Gaset, Jordi
Román Roy, Narciso
Salomone, Leandro Martin
author2_role author
author
author
dc.subject.none.fl_str_mv EINSTEIN EQUATIONS
FIELD THEORY
GRIFFITHS VARIATIONAL PROBLEM
HILBERT–EINSTEIN AND EINSTEIN–PALATINI ACTIONS
JET BUNDLES
LAGRANGIAN AND HAMILTONIAN FORMALISMS
LOVELOCK GRAVITY
MULTISYMPLECTIC MANIFOLDS
topic EINSTEIN EQUATIONS
FIELD THEORY
GRIFFITHS VARIATIONAL PROBLEM
HILBERT–EINSTEIN AND EINSTEIN–PALATINI ACTIONS
JET BUNDLES
LAGRANGIAN AND HAMILTONIAN FORMALISMS
LOVELOCK GRAVITY
MULTISYMPLECTIC MANIFOLDS
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv This work is mainly devoted to constructing a multisymplectic description of Lovelock’s gravity, which is an extension of General Relativity. We establish the Griffiths variational problem for the Lovelock Lagrangian, obtaining the geometric form of the corresponding field equations. We give the unified Lagrangian-Hamiltonian formulation of this model and we study the correspondence between the unified formulations for the Einstein-Hilbert and the Einstein-Palatini models of gravity.
Fil: Capriotti, Santiago. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina. Universidad Nacional del Sur. Departamento de Matemática; Argentina
Fil: Gaset, Jordi. Universitat Autònoma de Barcelona; España
Fil: Román Roy, Narciso. Universidad Politécnica de Catalunya; España
Fil: Salomone, Leandro Martin. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Centro de Matemática de la Plata; Argentina
description This work is mainly devoted to constructing a multisymplectic description of Lovelock’s gravity, which is an extension of General Relativity. We establish the Griffiths variational problem for the Lovelock Lagrangian, obtaining the geometric form of the corresponding field equations. We give the unified Lagrangian-Hamiltonian formulation of this model and we study the correspondence between the unified formulations for the Einstein-Hilbert and the Einstein-Palatini models of gravity.
publishDate 2020
dc.date.none.fl_str_mv 2020-08-24
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/11336/135198
Capriotti, Santiago; Gaset, Jordi; Román Roy, Narciso; Salomone, Leandro Martin; Griffiths variational multisymplectic formulation for Lovelock gravity; Springer/Plenum Publishers; General Relativity And Gravitation; 52; 8; 24-8-2020; 1-37
0001-7701
1572-9532
CONICET Digital
CONICET
url http://hdl.handle.net/11336/135198
identifier_str_mv Capriotti, Santiago; Gaset, Jordi; Román Roy, Narciso; Salomone, Leandro Martin; Griffiths variational multisymplectic formulation for Lovelock gravity; Springer/Plenum Publishers; General Relativity And Gravitation; 52; 8; 24-8-2020; 1-37
0001-7701
1572-9532
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs10714-020-02725-8
info:eu-repo/semantics/altIdentifier/doi/10.1007/s10714-020-02725-8
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1911.07278v2
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Springer/Plenum Publishers
publisher.none.fl_str_mv Springer/Plenum Publishers
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_ 1842981370798800896
score 12.48226

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