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Doctoral Thesis
DOI
10.11606/T.43.2005.tde-14112013-141225
Document
Author
Full name
Fabio Cabral Carvalho
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2005
Supervisor
Committee
Saa, Alberto Vazquez (President)
Abdalla, Elcio
Abramo, Luis Raul Weber
Alcaniz, Jailson Souza de
Bezerra, Valdir Barbosa
Title in Portuguese
Teorias escalares-tensoriais e o regime superacelerado do universo: aspectos dinâmicos
Keywords in Portuguese
Cosmologia
Física de partículas
Relatividade
Teoria de campos
Abstract in Portuguese
Analisamos, em particular, a estabilidade das soluções tipo tracker. Nossa análise é global, baseando-se na existência de funções de Lyapunov para pontos críticos previamente identificados na literatura e já estudados no regime linear local. Aplicamos a metodologia desenvolvida no contexto cosmológico para encontrar soluções superaceleradas, definidas quando a equação de estado é muito negativa ( = p/ < -1), e estimar a bacia de atração em torno dos pontos fixos estáveis. Baseado nestes resultados, propomos um modelo livre de instabilidades clássicas e/ou quânticas capaz de descrever a recentemente descoberta fase de expansão acelerada do Universo, incluindo os eventuais regimes superacelerados levemente favorecidos pelos dados observacionais disponíveis atualmente.
Title in English
Scalar-tensor theories and the superaccelerated regime of the universe: Dynamic aspects
Keywords in English
Cosmology
Field theory
Particle physics
Relativity
Abstract in English
We analyzes, in particular, the stability of tracker solutions. Our analyzes is global, based in the existence of Lyapunov functions for fixed points previously identified in the literature and studied in the local linear regime. The methodology developed in the cosmological context is applied to find superaccelerated solutions, defined when the equation of state is very negative ( = p/ < -1), and to obtain the attraction basin around the stable fixed point. Based in these results, we propose a model free of classical and/or quantum instabilities, capable of describing the recently discovered fase of accelerated expantion of the Universe, including the possible superaccelerated regime slightly favored by the available observational data.
 
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RE47202Carvalho.pdf (948.90 Kbytes)
Publishing Date
2013-12-17
 
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