Evolução numérica de espaços-tempos radiativos

• Ano de defesa: 2008
• Autor(a) principal: Rodrigues, Eduardo Lima
• Orientador(a): Oliveira, Henrique Pereira de
• Banca de defesa: Sotomayor, Patricio Anibal Letelier , Skea, James Ewan Faskin , Salim, José Martins , Silva, Maria de Fátima Alves da
• Tipo de documento: Tese
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: Universidade do Estado do Rio de Janeiro
• Programa de Pós-Graduação: Programa de Pós-Graduação em Física
• Departamento: Centro de Tecnologia e Ciências::Instituto de Física Armando Dias Tavares
• País: BR
• Palavras-chave em Português: Relatividade numérica; Métodos especiais; Ondas gravitacionais; Colapso gravitacional
• Palavras-chave em Inglês: Numerical relativity; Spectral methods; Gravitacional waves; Gravitacional colapse
• Área do conhecimento CNPq: CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::FISICA GERAL::RELATIVIDADE E GRAVITACAO
• Link de acesso: http://www.bdtd.uerj.br/handle/1/12856

This work consists of applying spectral methods to obtain the evolution of isolated systems that can emit gravitational waves in the full nonlinear regime of General Relativity. The perspective of detection of gravitational waves in the next years means that the construction of angular and temporal patterns of gravitational waves emitted by systems that are strong candidates for intense sources of gravitational waves has become pressing.The evolution of spheroids of matter emitting gravitational waves and a null radiation field is studied in the realm of radiative Robinson-Trautman spacetimes. The null radiation field is expected in realistic gravitational collapse and can be either an incoherent superposition of waves of electromagnetic, neutrino or massless scalar fields. We studied the evolution of the angular pattern of gravitational wave emission and the mass extraction of the bounded configuration through the emission of both types of radiations. We present the first numerical code based on the Galerkin method to integrate the field equations of the Bondi problem. Several numerical tests were performed to verify the issues of convergence, stability and accuracy with promising results. This code opens up several possibilities of applications in more general scenarios for studying the evolution of spacetimes with gravitational waves.