Gravitação Canônica no Formalismo Simplético

• Ano de defesa: 2016
• Autor(a) principal: Galvão Junior, Mariniel Souza
• Tipo de documento: Dissertação
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: Universidade Federal do Espírito Santo; BR; Mestrado em Física; Centro de Ciências Exatas; UFES; Programa de Pós-Graduação em Física
• Palavras-chave em Português: General Relativity; Hamiltonian Formalism; Constrained Systems; Modified Gravity; Relatividade Geral; Cosmologia; Sistemas Hamiltonianos; Física; 53
• Link de acesso: http://repositorio.ufes.br/handle/10/7362

The Hamiltonian formalism in theories of gravitation, also known as ADM formalism, is used in a wide variety of aplications, from obtaining numerical solutions to searching quantum gravity theories. Despite various non-trivial and typical particularities of General Relativity, it is known that the ADM formalism may be understood from Dirac’s treatment of constrained systems. In this work is presented a review of Dirac’s method, a review of the symplectic method, which constitutes another method of Hamiltonian function analysis, a review of the ADM formalism and, finally, we present a new development of the ADM formalism from the symplectic method. Aplications for General Relativity and Brans-Dicke are presented here in details.