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Doctoral Thesis
DOI
https://doi.org/10.11606/T.43.2020.tde-01092020-014914
Document
Author
Full name
Leonardo Rosa Werneck
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2020
Supervisor
Committee
Abdalla, Elcio (President)
Chirenti, Cecilia Bertoni Martha Hadler
Gammal, Arnaldo
Saa, Alberto Vazquez
Vanzela, Daniel Augusto Turolla
Title in Portuguese
Aspectos de relatividade numérica: campos escalares e estrelas de nêutrons
Keywords in Portuguese
campo escalar
equações diferenciais parciais
estrelas de nêutrons
fenômeno crítico
relatividade numérica
Abstract in Portuguese
Nesta tese apresentamos os resultados de nossa pesquisa no campo de relatividade numérica. Inicialmente, focaremos no estudo de fenômenos críticos no colapso gravitacional de cam- pos escalares não massivos, mostrando que conseguimos obter a solução crítica correta utilizando tanto o formalismo ADM quanto o BSSN. Nosso estudo se concentra no caso esfericamente simétrico, onde encontramos valores para o expoente crítico e período de eco em excelente concordância com a literatura. A universalidade da solução crítica tam- bém é verificada. Posteriormente, apresentamos os resultados de nossas implementações de equações de estado avançadas que melhor descrevem estrelas de nêutrons. Validamos nossos códigos realizando o teste de hidrodinâmica sem hidrodinâmica e calculando as relações massa vs raio para as estrelas de nêutrons. Finalmente, aplicamos a nova implementação para o estudo de uma simulação de fusão de um binário de estrelas de nêutrons.
Title in English
Aspects of Numerical Relativity: scalar fields and neutron stars
Keywords in English
critical phenomena
neutron stars
numerical relativity
partial differential equations
scalar field
Abstract in English
In this thesis we present the results from our research in the field of numerical relativity. We initially focus on critical phenomena in the gravitational collapse of massless scalar fields, showing that we are able to obtain the correct critical solution using both the ADM and BSSN formalisms. We study the spherically symmetric case to great extent, finding critical exponents and echoing periods in excellent agreement with the literature. The universality of the critical solution has also been explored and verified. Then, we present results from our implementations of advanced equations of state that more accurately describe neutron stars. We validate our codes by performing the hydro without hydro test and computing mass vs radius relations for the neutron stars. Finally, we apply the new implementation to the study of a binary neutron star merger simulation.
 
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Publishing Date
2020-09-15
 
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