Construction of new solutions of the electro-vacuum Einstein equation

• Ano de defesa: 2020
• Autor(a) principal: Costa Filho, Etevaldo dos Santos
• Tipo de documento: Dissertação
• Tipo de acesso: Acesso aberto
• Idioma: eng
• Instituição de defesa: Biblioteca Digitais de Teses e Dissertações da USP
• Palavras-chave em Português: Black holes; Buracos negros; Equações de Ernst; Ernst´s equations; Integrable systems; Método de Sibgatullin; Momentos multipolares; Multipole moments; Sibgatullin´s method; Sistemas integráveis
• Link de acesso: https://www.teses.usp.br/teses/disponiveis/76/76131/tde-25082021-085139/

In this dissertation, we review the Sibgatullin method, discuss its construction and application in the case of N-Solitons interest in time space in the vacuum. Having made this discussion, we introduce the relationship between multipole moments in general relativity and the solutions of the coupled Einstein-Maxwell system of equations. We were able to generalize well known results in the literature. There was also a brief discussion about the multipolar moments and even more, we corrected a canonical result in the literature.