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Doctoral Thesis
DOI
10.11606/T.43.2003.tde-18072012-093537
Document
Author
Full name
Bertha María Cuadros Melgar
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2003
Supervisor
Committee
Abdalla, Elcio (President)
Brandt, Fernando Tadeu Caldeira
Frenkel, Josif
Matsas, George Emanuel Avraam
Sotomayor, Patricio Aníbal Letelier
Title in Portuguese
Atalhos Gravitacionais em Cosmologia de Branas
Keywords in Portuguese
Branas
Cosmologia
Dimensões extra
Gravitação
Abstract in Portuguese
Consideramos quatro modelos de branas, a saber, o modelo de Binétruy, Deffayet e Langlois com uma brana estática em um bulk dinâmico, o modelo de Chamblin e Reall para paredes de domínio dinâmicas, o modelo de brana estática em um espaço-tempo AdS contendo uma singularidade, e a generalização do último caso, isto é, o modelo de brana dinâmica em um bulk AdS ou dS contendo uma singularidade nua ou protegida. Das equações de Einstein e das condições de Darmois-Israel, estudamos a dinâmica da 4-brana nos casos pertinentes. Usando o formalismo de Euler-Lagrange, derivamos uma equação para o caminho mais curto em 5 e 6 dimensões. Aplicando esta equação, investigamos a possibilidade de se ter atalhos, verificando sua existência nos três últimos modelos. Calculamos os atrasos relevantes entre os sinais de gráviton e do fóton e a razão dos horizontes subentendidos correspondentes. As consequências são discutidas.
Title in English
Gravitational Shortcuts in Cosmology of Branas
Keywords in English
Branas
Cosmology
Extra Dimensions
Gravitation
Abstract in English
We consider four brane world models, namely, the modelo f Binétruy, Deffayet and Langlois with a static brane in a dynamical bulk, the modelo f Chamblin and Reall for dynamic domain dilatonic domain walls, the static brane model in na AdS spacetime containing a shielded singularity, and the generalization of the latter case, i.e., the dynamic brane model in na AdS or dS bulk containing a naked or shielded singularity. From the Einstein equations and the Darmois-Israel conditions we study the 4-brane dynamics in the pertinent cases. Using the Euler-Lagrange formalism we derive na equation for the shortest path in 5 and 6 dimensions. Applying this equation we investigate the possibility of having shortcuts verifying its existence in the three last models. We calculate the relevant delay between gráviton and photon sinals and the ratio of the corresponding subtended horizons. Consequences are discussed.
 
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Publishing Date
2012-07-18
 
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