Hamilton–Jacobi analysis of the Freidel–Starodubtsev BF (A)dS gravity action

Detalhes bibliográficos
Autor(a) principal: de Gracia, G. B. [UNESP]
Data de Publicação: 2020
Outros Autores: Pimentel, B. M. [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1140/epjp/s13360-020-00447-z
http://hdl.handle.net/11449/200569
Resumo: In this work, we perform the Hamilton–Jacobi analysis of a modified gravity action, the so-called Freidel–Starodubtsev model. The complete set of involutive Hamiltonians that guarantee the system’s integrability is obtained. The generalized Poisson brackets are calculated in the metric phase by means of a suitable constraint matrix inversion. We also present a discussion about the metric and non-metric degrees of freedom. From the fundamental differential we recover the equations of motion and explicitly obtain the generators of local Lorentz transformations and also diffeomorphisms for the tetrad and the spin connection fields.
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spelling Hamilton–Jacobi analysis of the Freidel–Starodubtsev BF (A)dS gravity actionIn this work, we perform the Hamilton–Jacobi analysis of a modified gravity action, the so-called Freidel–Starodubtsev model. The complete set of involutive Hamiltonians that guarantee the system’s integrability is obtained. The generalized Poisson brackets are calculated in the metric phase by means of a suitable constraint matrix inversion. We also present a discussion about the metric and non-metric degrees of freedom. From the fundamental differential we recover the equations of motion and explicitly obtain the generators of local Lorentz transformations and also diffeomorphisms for the tetrad and the spin connection fields.Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Institute of Theoretical Physics São Paulo State University (UNESP), P.O. Box 01140-070Institute of Theoretical Physics São Paulo State University (UNESP), P.O. Box 01140-070Universidade Estadual Paulista (Unesp)de Gracia, G. B. [UNESP]Pimentel, B. M. [UNESP]2020-12-12T02:10:05Z2020-12-12T02:10:05Z2020-06-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1140/epjp/s13360-020-00447-zEuropean Physical Journal Plus, v. 135, n. 6, 2020.2190-5444http://hdl.handle.net/11449/20056910.1140/epjp/s13360-020-00447-z2-s2.0-85085984435Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengEuropean Physical Journal Plusinfo:eu-repo/semantics/openAccess2021-10-23T14:40:59Zoai:repositorio.unesp.br:11449/200569Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T15:06:30.864131Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Hamilton–Jacobi analysis of the Freidel–Starodubtsev BF (A)dS gravity action
title Hamilton–Jacobi analysis of the Freidel–Starodubtsev BF (A)dS gravity action
spellingShingle Hamilton–Jacobi analysis of the Freidel–Starodubtsev BF (A)dS gravity action
de Gracia, G. B. [UNESP]
title_short Hamilton–Jacobi analysis of the Freidel–Starodubtsev BF (A)dS gravity action
title_full Hamilton–Jacobi analysis of the Freidel–Starodubtsev BF (A)dS gravity action
title_fullStr Hamilton–Jacobi analysis of the Freidel–Starodubtsev BF (A)dS gravity action
title_full_unstemmed Hamilton–Jacobi analysis of the Freidel–Starodubtsev BF (A)dS gravity action
title_sort Hamilton–Jacobi analysis of the Freidel–Starodubtsev BF (A)dS gravity action
author de Gracia, G. B. [UNESP]
author_facet de Gracia, G. B. [UNESP]
Pimentel, B. M. [UNESP]
author_role author
author2 Pimentel, B. M. [UNESP]
author2_role author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv de Gracia, G. B. [UNESP]
Pimentel, B. M. [UNESP]
description In this work, we perform the Hamilton–Jacobi analysis of a modified gravity action, the so-called Freidel–Starodubtsev model. The complete set of involutive Hamiltonians that guarantee the system’s integrability is obtained. The generalized Poisson brackets are calculated in the metric phase by means of a suitable constraint matrix inversion. We also present a discussion about the metric and non-metric degrees of freedom. From the fundamental differential we recover the equations of motion and explicitly obtain the generators of local Lorentz transformations and also diffeomorphisms for the tetrad and the spin connection fields.
publishDate 2020
dc.date.none.fl_str_mv 2020-12-12T02:10:05Z
2020-12-12T02:10:05Z
2020-06-01
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1140/epjp/s13360-020-00447-z
European Physical Journal Plus, v. 135, n. 6, 2020.
2190-5444
http://hdl.handle.net/11449/200569
10.1140/epjp/s13360-020-00447-z
2-s2.0-85085984435
url http://dx.doi.org/10.1140/epjp/s13360-020-00447-z
http://hdl.handle.net/11449/200569
identifier_str_mv European Physical Journal Plus, v. 135, n. 6, 2020.
2190-5444
10.1140/epjp/s13360-020-00447-z
2-s2.0-85085984435
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv European Physical Journal Plus
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1808128462754414592

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