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dc.creatorSouza, Pedro Moreira Machado de-
dc.date.accessioned2025-03-24T11:37:12Z-
dc.date.available2025-03-24T11:37:12Z-
dc.date.issued2024-02-23-
dc.identifier.citationSOUZA, Pedro Moreira Machado de. Uma introdução à gravitação em 3D como uma teoria de Gauge: soluções e simetrias. 2024. 88 f. TCC (Bacharel em Física) - Instituto de Física, Universidade Federal da Bahia, Salvador (Bahia), 2024.pt_BR
dc.identifier.urihttps://repositorio.ufba.br/handle/ri/41546-
dc.description.abstractLower dimensional gravity provides a toy model capable of helping in the understanding of open questions in physics, such as quantum gravity. Three dimensional gravity is equivalent to the Chern-Simons (gauge) theory, seeming when explicitly written in the first order formalism. The goal of this project is to investigate gravity in three dimensions under a gauge theory aspect, focusing on the solutions and symmetries of the model. Thus, it is intended to study the first-order action equivalent to Einstein-Hilbert action expressed in terms of the Dreibein and the spin connection, explore the constraint structure of the Chern-Simons theory via Dirac procedure, and, in the particular case of Anti-de Sitter space, obtain the BTZ black hole solution and the asymptotic symmetries.pt_BR
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico, CNPqpt_BR
dc.languageporpt_BR
dc.publisherUniversidade Federal da Bahiapt_BR
dc.rightsAcesso Abertopt_BR
dc.subjectGravitaçãopt_BR
dc.subjectAnálise assintóticapt_BR
dc.subjectFísicapt_BR
dc.subjectBuraco Negropt_BR
dc.subject.otherGravitationpt_BR
dc.subject.otherAsymptotic analysispt_BR
dc.subject.otherPhysicspt_BR
dc.subject.otherBlack holept_BR
dc.titleUma introdução à gravitação em 3D como uma teoria de Gauge: soluções e simetrias.pt_BR
dc.title.alternativeAn introduction to 3D gravity as a Gauge theory: solutions and symmetries.pt_BR
dc.typeTrabalho de Conclusão de Cursopt_BR
dc.publisher.initialsUFBApt_BR
dc.publisher.countryBrasilpt_BR
dc.subject.cnpqCNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::FISICA DAS PARTICULAS ELEMENTARES E CAMPOS::TEORIA GERAL DE PARTICULAS E CAMPOSpt_BR
dc.contributor.advisor1Valcarcel Flores, Carlos Enrique-
dc.contributor.advisor1IDhttps://orcid.org/0000-0002-5916-4865pt_BR
dc.contributor.advisor1Latteshttp://lattes.cnpq.br/4800704535611181pt_BR
dc.contributor.referee1Valcárcel Flores, Carlos Enrique-
dc.contributor.referee1IDhttps://orcid.org/0000-0002-5916-4865pt_BR
dc.contributor.referee1Latteshttp://lattes.cnpq.br/4800704535611181pt_BR
dc.contributor.referee2Vasilevich, Dmitry-
dc.contributor.referee2Latteshttp://lattes.cnpq.br/3497305821646721pt_BR
dc.contributor.referee3Bertin, Mario Cezar Ferreira Gomes-
dc.contributor.referee3IDhttps://orcid.org/0000-0001-5547-026Xpt_BR
dc.contributor.referee3Latteshttp://lattes.cnpq.br/6556912951714188pt_BR
dc.creator.Latteshttp://lattes.cnpq.br/3474124170441400pt_BR
dc.description.resumoGravitação em baixas dimensões fornece um “toy model" capaz de ajudar na compreensão de questões ainda em aberto na física, como a gravitação quântica. Em três dimensões, a gravitação é equivalente à teoria de "gauge" de Chern-Simons, aparente quando aquela é escrita explicitamente no formalismo de primeira ordem. Este trabalho tem como objetivo investigar a gravitação em três dimensões sob o aspecto de uma teoria de calibre, com foco nas soluções e simetrias do modelo. Para tanto, pretende-se estudar a ação de primeira ordem equivalente à ação de Einstein-Hilbert expressa na linguagem dos Dreibein e da conexão de spin, explorar a estrutura de vínculos da teoria de Chern-Simons através do método de Dirac, e, no caso particular do espaço anti-de Sitter, obter a solução de buraco negro BTZ e as simetrias assintóticas.pt_BR
dc.publisher.departmentInstituto de Físicapt_BR
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dc.type.degreeBachareladopt_BR
dc.publisher.courseFÍSICApt_BR
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