Hamiltonian Gotay-Nester-Hinds analysis of the parametrized unimodular extension of the Holst action

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Hamiltonian Gotay-Nester-Hinds analysis of the parametrized unimodular extension of the Holst action

Author(s): Barbero G., J. Fernando; Díaz Jiménez, Bogar; Margalef Bentabol, Juan; Sánchez Villaseñor, Eduardo Jesús
Publisher: American Physical Society (APS)
Issued date: 2021
Citation: Barbero G., J. F., Díaz, B., Margalef-Bentabol, J. & Villaseñor, E. J. (2021). Hamiltonian Gotay-Nester-Hinds analysis of the parametrized unimodular extension of the Holst action. Physical Review D, 103(6), 064062
ISSN: 2470-0010
DOI: https://doi.org/10.1103/PhysRevD.103.064062
xmlui.dri2xhtml.METS-1.0.item-contributor-funder: Ministerio de Ciencia, Innovación y Universidades (España)
European Commission
Sponsor: This work has been supported by the Spanish Ministerio de Ciencia Innovación y Universidades-Agencia Estatal de Investigación/FIS2017-84440-C2-2-P grant. Bogar Díaz was partially supported by a DGAPA-UNAM postdoctoral fellowship and acknowledges support from the CONEX-Plus program funded by Universidad Carlos III de Madrid and the European Union’s Horizon 2020 program under the Marie Sklodowska-Curie grant agreement No. 801538. Juan Margalef-Bentabol is supported by the Eberly Research Funds of Penn State, by the NSFgrant PHY-1806356 and by the Urania Stott fund of Pittsburgh foundation UN2017-92945.
Project: Gobierno de España. FIS2017-84440-C2-2-P
info:eu-repo/grantAgreement/EC/H2020/801538
Keywords: Gauge theories , General relativity , Gravitation , Geometry , Mathematical physics methods , Holst action , GNH method , Hamiltonian formulation , Unimodular gravity , Parametrized field theory
URI: http://hdl.handle.net/10016/32683
Rights: © 2021 American Physical Society

Abstract:

We give a detailed account of the Hamiltonian Gotay-Nester-Hinds (GNH) analysis of the parametrized unimodular extension of the Holst action. The purpose of the paper is to derive, through the clear geometric picture furnished by the GNH method, a simple Hamil [+]

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