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Covariant phase space for gravity with boundaries: Metric versus tetrad formulations

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Modelización, Simulación Numérica y Matemática Industriales
dc.contributor.authorBarbero G., J. Fernando
dc.contributor.authorMargalef Bentabol, Juan
dc.contributor.authorVaro, Valle
dc.contributor.authorSánchez Villaseñor, Eduardo Jesús
dc.contributor.funderMinisterio de Ciencia e Innovación (España)es
dc.date.accessioned2021-09-10T09:58:36Z
dc.date.available2021-09-10T09:58:36Z
dc.date.issued2021-08-15
dc.description.abstractWe use covariant phase space methods to study the metric and tetrad formulations of general relativity in a manifold with boundary and compare the results obtained in both approaches. Proving their equivalence has been a long-lasting problem that we solve here by using the cohomological approach provided by the relative bicomplex framework. This setting provides a clean and ambiguity-free way to describe the solution spaces and associated symplectic structures. We also compute several relevant charges in both schemes and show that they are equivalent, as expected.en
dc.description.sponsorshipThe authors wish to thank Abhay Ashtekar, Laurent Freidel, and Simone Speziale for correspondence that prompted us to clarify some of the points discussed in the paper. This work has been supported by the Spanish Ministerio de Ciencia Innovación y Universidades-Agencia Estatal de Investigación FIS2017-84440-C2-2-P grant. J. M. -B. is supported by the Eberly Research Funds of Penn State, by the NSF Grant No. PHY-1806356 and by the Urania Stott fund of Pittsburgh foundation UN2017-92945. E. J. S. V. 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.extent16
dc.identifier.bibliographicCitationFernando Barbero G., J., Margalef-Bentabol, J., Varo, V. & Villaseñor, E. J. (2021). Covariant phase space for gravity with boundaries: Metric versus tetrad formulations. Physical Review D, 104(4), 044048.en
dc.identifier.doihttps://doi.org/10.1103/PhysRevD.104.044048
dc.identifier.issn2470-0010
dc.identifier.publicationfirstpage044048
dc.identifier.publicationissue4
dc.identifier.publicationtitlePhysical Review Den
dc.identifier.publicationvolume104
dc.identifier.urihttps://hdl.handle.net/10016/33258
dc.identifier.uxxiAR/0000028258
dc.language.isoeng
dc.publisherAmerican Physical Societyen
dc.relation.projectIDGobierno de España. FIS2017-84440-C2-2-Pes
dc.rights© 2021 American Physical Societyen
dc.rights.accessRightsopen accessen
dc.subject.ecienciaMatemáticases
dc.subject.otherGeneral relativityen
dc.subject.otherGeneral relativity formalismen
dc.subject.otherGravitationen
dc.titleCovariant phase space for gravity with boundaries: Metric versus tetrad formulationsen
dc.typeresearch article*
dc.type.hasVersionVoR*
dspace.entity.typePublication
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