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Master's Dissertation
DOI
https://doi.org/10.11606/D.76.2020.tde-25082021-085139
Document
Author
Full name
Etevaldo dos Santos Costa Filho
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 2020
Supervisor
Committee
Hartmann, Betti (President)
Brihaye, Yves
Zakrzewski, Wojciech Jerzy Maria
Title in English
Construction of new solutions of the electro-vacuum Einstein equation
Keywords in English
Black holes
Ernst´s equations
Integrable systems
Multipole moments
Sibgatullin´s method
Abstract in English
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.
Title in Portuguese
Construção de novas soluções das equações de Einstein no eletrovácuo
Keywords in Portuguese
Buracos negros
Equações de Ernst
Método de Sibgatullin
Momentos multipolares
Sistemas integráveis
Abstract in Portuguese
Nesta dissertação, introduzimos o método de Sibgatullin, discutimos sua construção e aplicação no caso de interesse de N-Solitons em espaçostempo no eletrovácuo. Tendo feito essa discussão, introduzimos a relação entre os momentos de multipolo em relatividade geral e as soluções do sistema acoplado de equações de Einstein-Maxwell. Fomos capazes de generalizar resultados já conhecidos na literatura. Fez-se também uma breve discussão sobre os momentos multipolares em si e mais ainda, corrigimos um resultado já conhecido da literatura.
 
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Publishing Date
2021-08-27
 
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