RT Journal Article T1 Hamiltonian Gotay-Nester-Hinds analysis of the parametrized unimodular extension of the Holst action A1 Barbero G., J. Fernando A1 Díaz Jiménez, Bogar A1 Margalef Bentabol, Juan A1 Sánchez Villaseñor, Eduardo Jesús AB 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 Hamiltonian formulation for this model and explain why it is difficult to arrive at it in other approaches. We will also show how to take advantage of the field equations to anticipate the simple form of the constraints that we find in the paper. PB American Physical Society (APS) SN 2470-0010 YR 2021 FD 2021 LK https://hdl.handle.net/10016/32683 UL https://hdl.handle.net/10016/32683 LA eng NO 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. DS e-Archivo RD 18 may. 2024