Invariant conserved currents in gravity theories with local Lorentz and diffeomorphism symmetry

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dc.contributor.authorObukhov, Yuri N. [UNESP]
dc.contributor.authorRubilar, Guillermo F. [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionMoscow State University
dc.contributor.institutionUniversidad de Concepción
dc.date.accessioned2014-05-27T11:21:58Z
dc.date.available2014-05-27T11:21:58Z
dc.date.issued2006-09-07
dc.description.abstractWe discuss conservation laws for gravity theories invariant under general coordinate and local Lorentz transformations. We demonstrate the possibility to formulate these conservation laws in many covariant and noncovariant(ly looking) ways. An interesting mathematical fact underlies such a diversity: there is a certain ambiguity in a definition of the (Lorentz-) covariant generalization of the usual Lie derivative. Using this freedom, we develop a general approach to the construction of invariant conserved currents generated by an arbitrary vector field on the spacetime. This is done in any dimension, for any Lagrangian of the gravitational field and of a (minimally or nonminimally) coupled matter field. A development of the regularization via relocalization scheme is used to obtain finite conserved quantities for asymptotically nonflat solutions. We illustrate how our formalism works by some explicit examples. © 2006 The American Physical Society.en
dc.description.affiliationInstituto de Física Teórica Universidade Estadual Paulista, Rua Pamplona 145, 01405-900 São Paulo
dc.description.affiliationDepartment of Theoretical Physics Moscow State University, 117234 Moscow
dc.description.affiliationDepartamento de Física Universidad de Concepción, Casilla 160-C, Concepción
dc.description.affiliationUnespInstituto de Física Teórica Universidade Estadual Paulista, Rua Pamplona 145, 01405-900 São Paulo
dc.identifierhttp://dx.doi.org/10.1103/PhysRevD.74.064002
dc.identifier.citationPhysical Review D - Particles, Fields, Gravitation and Cosmology, v. 74, n. 6, 2006.
dc.identifier.doi10.1103/PhysRevD.74.064002
dc.identifier.file2-s2.0-33748185290.pdf
dc.identifier.issn1550-7998
dc.identifier.issn1550-2368
dc.identifier.scopus2-s2.0-33748185290
dc.identifier.urihttp://hdl.handle.net/11449/69086
dc.identifier.wosWOS:000240874500043
dc.language.isoeng
dc.relation.ispartofPhysical Review D: Particles, Fields, Gravitation and Cosmology
dc.rights.accessRightsAcesso restrito
dc.sourceScopus
dc.titleInvariant conserved currents in gravity theories with local Lorentz and diffeomorphism symmetryen
dc.typeArtigo
dcterms.licensehttp://publish.aps.org/authors/transfer-of-copyright-agreement
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Física Teórica (IFT), São Paulopt

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