Three-dimensional background field gravity: A Hamilton - Jacobi analysis

Detalhes bibliográficos
Autor(a) principal: Maia, N. T. [UNESP]
Data de Publicação: 2015
Outros Autores: Pimentel, B. M. [UNESP], Valcárcel, C. E.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1088/0264-9381/32/18/185013
http://hdl.handle.net/11449/172039
Resumo: We analyse the constraint structure of the background field model for three-dimensional gravity including a cosmological term via the Hamilton - Jacobi formalism. We find the complete set of involutive Hamiltonians that assures the integrability of the system and calculate the characteristic equations of the system. We established the equivalence between these equations and the field equations and also obtain the generators of canonical and gauge transformations.
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spelling Three-dimensional background field gravity: A Hamilton - Jacobi analysisbackground fieldconstrained systemsHamilton-Jacobi formalismWe analyse the constraint structure of the background field model for three-dimensional gravity including a cosmological term via the Hamilton - Jacobi formalism. We find the complete set of involutive Hamiltonians that assures the integrability of the system and calculate the characteristic equations of the system. We established the equivalence between these equations and the field equations and also obtain the generators of canonical and gauge transformations.Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Instituto de Física Teórica UNESP - São Paulo State University, PO Box 70532-2Centro de Matemática Computação e Cognição Universidade Federal Do ABCInstituto de Física Teórica UNESP - São Paulo State University, PO Box 70532-2Universidade Estadual Paulista (Unesp)Universidade Federal do ABC (UFABC)Maia, N. T. [UNESP]Pimentel, B. M. [UNESP]Valcárcel, C. E.2018-12-11T16:58:16Z2018-12-11T16:58:16Z2015-09-24info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://dx.doi.org/10.1088/0264-9381/32/18/185013Classical and Quantum Gravity, v. 32, n. 18, 2015.1361-63820264-9381http://hdl.handle.net/11449/17203910.1088/0264-9381/32/18/1850132-s2.0-849407497522-s2.0-84940749752.pdfScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengClassical and Quantum Gravity1,809info:eu-repo/semantics/openAccess2024-01-04T06:26:28Zoai:repositorio.unesp.br:11449/172039Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-01-04T06:26:28Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Three-dimensional background field gravity: A Hamilton - Jacobi analysis
title Three-dimensional background field gravity: A Hamilton - Jacobi analysis
spellingShingle Three-dimensional background field gravity: A Hamilton - Jacobi analysis
Maia, N. T. [UNESP]
background field
constrained systems
Hamilton-Jacobi formalism
title_short Three-dimensional background field gravity: A Hamilton - Jacobi analysis
title_full Three-dimensional background field gravity: A Hamilton - Jacobi analysis
title_fullStr Three-dimensional background field gravity: A Hamilton - Jacobi analysis
title_full_unstemmed Three-dimensional background field gravity: A Hamilton - Jacobi analysis
title_sort Three-dimensional background field gravity: A Hamilton - Jacobi analysis
author Maia, N. T. [UNESP]
author_facet Maia, N. T. [UNESP]
Pimentel, B. M. [UNESP]
Valcárcel, C. E.
author_role author
author2 Pimentel, B. M. [UNESP]
Valcárcel, C. E.
author2_role author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
Universidade Federal do ABC (UFABC)
dc.contributor.author.fl_str_mv Maia, N. T. [UNESP]
Pimentel, B. M. [UNESP]
Valcárcel, C. E.
dc.subject.por.fl_str_mv background field
constrained systems
Hamilton-Jacobi formalism
topic background field
constrained systems
Hamilton-Jacobi formalism
description We analyse the constraint structure of the background field model for three-dimensional gravity including a cosmological term via the Hamilton - Jacobi formalism. We find the complete set of involutive Hamiltonians that assures the integrability of the system and calculate the characteristic equations of the system. We established the equivalence between these equations and the field equations and also obtain the generators of canonical and gauge transformations.
publishDate 2015
dc.date.none.fl_str_mv 2015-09-24
2018-12-11T16:58:16Z
2018-12-11T16:58:16Z
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/10.1088/0264-9381/32/18/185013
Classical and Quantum Gravity, v. 32, n. 18, 2015.
1361-6382
0264-9381
http://hdl.handle.net/11449/172039
10.1088/0264-9381/32/18/185013
2-s2.0-84940749752
2-s2.0-84940749752.pdf
url http://dx.doi.org/10.1088/0264-9381/32/18/185013
http://hdl.handle.net/11449/172039
identifier_str_mv Classical and Quantum Gravity, v. 32, n. 18, 2015.
1361-6382
0264-9381
10.1088/0264-9381/32/18/185013
2-s2.0-84940749752
2-s2.0-84940749752.pdf
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Classical and Quantum Gravity
1,809
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
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_ 1803650168017387520

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