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On-shell equivalence of general relativity and Holst theories with nonmetricity, torsion, and boundaries

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Modelización, Simulación Numérica y Matemática Industriales
dc.affiliation.institutoUC3M. Instituto Universitario sobre Modelización y Simulación en Fluidodinámica, Nanociencia y Matemática Industrial Gregorio Millán Barbanyes
dc.contributor.authorBarbero G., J. Fernando
dc.contributor.authorMargalef Bentabol, Juan
dc.contributor.authorVaro, Valle
dc.contributor.authorSánchez Villaseñor, Eduardo Jesús
dc.contributor.funderComunidad de Madrides
dc.contributor.funderUniversidad Carlos III de Madrides
dc.contributor.funderAgencia Estatal de Investigación (España)es
dc.date.accessioned2022-10-28T10:00:07Z
dc.date.available2022-10-28T10:00:07Z
dc.date.issued2022-03-30
dc.description.abstractWe study a generalization of the Holst action where we admit nonmetricity and torsion in manifolds with timelike boundaries (both in the metric and tetrad formalism). We prove that its space of solutions is equal to the one of the Palatini action. Therefore, we conclude that the metric sector is in fact identical to general relativity (GR), which is defined by the Einstein-Hilbert action. We further prove that, despite defining the same space of solutions, the Palatini and (the generalized) Holst Lagrangians are not cohomologically equal. Thus, the presymplectic structure and charges provided by the covariant phase space method might differ. However, using the relative bicomplex framework, we show the covariant phase spaces of both theories are equivalent (and in fact equivalent to GR), as well as their charges, clarifying some open problems regarding dual charges and their equivalence in different formulations.en
dc.description.sponsorshipThis work has been supported by the Spanish Ministerio de Ciencia Innovación y Universidades-Agencia Estatal de Investigación FIS2017-84440-C2-2-P and PID2020-116567GB-C22 grants. Juan Margalef-Bentabol is supported by the AARMS postdoctoral fellowship, by the NSERC Discovery Grant No. 2018-04873, and the NSERC Grant RGPIN-2018-04887. E.J.S. Villaseñor is supported by the Madrid Government (Comunidad de Madrid-Spain) under the Multiannual Agreement with UC3M in the line of Excellence of University Professors (EPUC3M23), and in the context of the V PRICIT (Regional Programme of Research and Technological Innovation).en
dc.format.extent19es
dc.identifier.bibliographicCitationBarbero G., J. Fernando, et al. On-shell equivalence of general relativity and Holst theories with nonmetricity, torsion, and boundaries. In: Physical Review D 105, 064066, March 2022en
dc.identifier.doihttps://doi.org/10.1103/PhysRevD.105.064066
dc.identifier.issn2470-0010
dc.identifier.issn2470-0029 (online)
dc.identifier.publicationfirstpage1es
dc.identifier.publicationissue6, 064066es
dc.identifier.publicationlastpage19es
dc.identifier.publicationtitlePhysical review Den
dc.identifier.publicationvolume105es
dc.identifier.urihttps://hdl.handle.net/10016/35949
dc.identifier.uxxiAR/0000030437
dc.language.isoengen
dc.publisherAmerican Physical Society (APS)en
dc.relation.projectIDGobierno de España. FIS2017-84440-C2-2-Pes
dc.relation.projectIDGobierno de España. PID2020-116567GB-C22es
dc.rights© 2022 American Physical Societyen
dc.rights.accessRightsopen accessen
dc.subject.ecienciaFísicaes
dc.subject.ecienciaMatemáticases
dc.subject.otherFirst order gravityen
dc.subject.otherHolst actionen
dc.subject.otherBoundariesen
dc.subject.otherCovariant methodsen
dc.titleOn-shell equivalence of general relativity and Holst theories with nonmetricity, torsion, and boundariesen
dc.typeresearch article*
dc.type.hasVersionAM*
dspace.entity.typePublication
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