Física

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http://repositorio.ufes.br/handle/10/17492
Programa de Pós-Graduação em Física

Centro: CCE
Telefone: (27) 4009 2488
URL do programa: http://www.fisica.ufes.br/pos-graduacao/PPGFis

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    Análise Hamiltoniana de Teorias de Gravitação pela Abordagem Simplética.
    (Universidade Federal do Espírito Santo, 2021-06-17) Galvão Junior, Mariniel Souza; Rodrigues, Davi Cabral; https://orcid.org/0000000316835443; http://lattes.cnpq.br/5465449494182034; https://orcid.org/0000-0003-2260-5222; http://lattes.cnpq.br/2242425021389961; Fabris, Júlio César; https://orcid.org/000000018880107X; http://lattes.cnpq.br/5193649615872035; Neto, Nelson Pinto; https://orcid.org/0000-0001-6713-5290; http://lattes.cnpq.br/6196081550581346; Rocha Junior, Roldão da; https://orcid.org/0000-0003-3978-532X; http://lattes.cnpq.br/6017951215928479; Guimarães, Marcelo Santos; https://orcid.org/0000-0003-0057-148X; http://lattes.cnpq.br/5257334599729020; Sotkov, Galen Mihaylov; https://orcid.org/0000-0002-7276-016X; http://lattes.cnpq.br/6372536076880230
    We show how to systematically apply the Faddeev-Jackiw symplectic method to General Relativity (GR), GR extensions and tetrad gravity coupled to fermions. We also develop a completely symplectic analysis for the computing of gauge symmetries and apply the results for GR. This provides a new coherent frame for Hamiltonian analyses of gravitational theories. The emphasis is on the classical dynamics, uncovering the constraints, the gauge transformations, in and off-shell, and the number of degrees of freedom; but the method results are also relevant for canonical quantization approaches. We clarify subtleties of the symplectic approach and comment on previous symplectic-based Hamiltonian analyses of extended theories of gravity, pointing out that the present approach is systematic, complete and robust.