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Doctoral Thesis
DOI
10.11606/T.43.2011.tde-26042012-125553
Document
Author
Full name
Alan Maciel da Silva
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2011
Supervisor
Committee
Abdalla, Elcio (President)
Barata, Joao Carlos Alves
Saa, Alberto Vazquez
Teotonio Sobrinho, Paulo
Zhydenko, Olexandr
Title in Portuguese
Gravidade quântica com simetria de Lifshitz
Keywords in Portuguese
Cosmologia
Física teórica
Gravitação
Teoria de campos
Abstract in Portuguese
Nesta tese apresentamos vários aspectos das teorias de gravidade quântica anisotrópica. Introduzimos a simetria de Lifshitz, que promove a ansitropia entre espaço e tempo e mostramos como esta ansitropia melhora o comportamento das teorias em altas energias, quando comparadas com teorias relativísticas. Mostramos também o mecanismo pelo qual teorias anisotrópicas podem ser efetivamente relativísticas em baixas energias. Construímos a teoria de gravidade quântica anisotrópica (gravidade HL) e discutimos suas variações. Mostramos as principais consequências físicas da versão projetável da teoria, como soluções esfericamente simétricas e cosmológicas. Apontamos para o aparecimento de um grau de liberdade extra na teoria, quando comparada à Relatividade Geral, o gráviton escalar, e discutimos os problemas a ele associados. Apresentamos a proposta de Horava e Melby-Thompson da gravidade anisotrópica covariante, que é livre do gráviton escalar. Em seguida, mostramos a nossa contribuição para a área, que é formalismo de acoplamento mínimo, que generaliza o procedimento de Horava e Melby-Thompson e aponta para possíveis termos de acoplamento entre gravitação e matéria. Questões em aberto são apontadas e discutidas.
Title in English
Quantum gravity with Lifshitz symmetry
Keywords in English
Cosmology
Field theory
Gravity
Theoretical physics
Abstract in English
In this thesis we present some aspects of anisotropic gravity theories. We introduce the Lifshitz symmetry, which produces an anisotropy between space and time and show how this anisotropy improves the high energy behavior of theories when compared with their relativistic counterparts. We also show the mechanism that ensures anisotropic theories can be effectively relativistic at low energies. We build the anisotropic gravity theory (HL theory) and discuss some of its versions. We show the major physical consequences of projectable version of HL theory, as spherically symmetric solutions and cosmology. We point out to the appearance of an extra degree of freedom in HL theory when compared to General Relativity, the scalar graviton, and discuss the issues it presents. We present the proposal of Horava and Melby-Thompson of co variant anisotropic gravity, which is scalar graviton free. Subsequently, we show our proposal of a minimal coupling formalism, which generalizes the Horava and Melby-Thompsons procedure and leads to possible couplings between gravity and matter. Open issues are pointed out and discussed.
 
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TeseAlanSilva.pdf (574.55 Kbytes)
Publishing Date
2012-05-21
 
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