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Doctoral Thesis
DOI
10.11606/T.43.2010.tde-21102010-134722
Document
Author
Full name
Jéferson de Oliveira
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2010
Supervisor
Committee
Abdalla, Elcio (President)
Chirenti, Cecilia Bertoni Martha Hadler
Gomes, Marcelo Otavio Caminha
Matsas, George Emanuel Avraam
Saa, Alberto Vazquez
Title in Portuguese
Estudo das frequências quasinormais das p-branas negras
Keywords in Portuguese
Buracos negros
Modos quasinormais
Teoria de cordel
Abstract in Portuguese
Esta tese visa realizar um estudo acerca das freqüências quasinormais das p-branas negras utilizando um campo escalar de teste. No contexto da correspondência AdS/CFT estudamos alguns aspectos da formação de estados supercondutores na teoria de campos definida na borda do espaço-tempo de Gauss-Bonnet AdS d-dimensional. Apresentamos a derivação das soluções das p-branas negras, bem como a análise de sua estrutura causal. Revisamos o regime perturbativo da Relatividade Geral e a interpretação dos modos quasinormais de um buraco negro em termos dos elementos que compõem a correspondência AdS/CFT. Estudamos a evolução de um campo escalar sem massa na geometria das p-branas negras em detalhe, sendo que utilizamos o método semianalítico WKB e a integração característica (Problema de Goursat) para calcular as freqüências quasinormais correspondentes. Por fim, apresentamos uma expressão aproximada de um estado supercondutor na teoria de campos definida na borda do buraco negro de Gauss-Bonnet AdS através do dicionário AdS/CFT.
Title in English
Study of quasinormal frequency of black p-branas
Keywords in English
Black holes
Quasinormal modes
String theory
Abstract in English
This thesis aims at studying the quasinormal frequencies of black p-branes using a scalar field in the probe limit. In the context of AdS/CFT correspondence we study some aspects regarding the formation of superconductor states in the field theory set on the AdS boundary of the Gauss-Bonnet AdS spacetime. We present the derivation of black p-brane solutions, as well as the analysis of its causal structure. We review the perturbative regime of General Relativity and the interpretation of the black hole quasinormal modes in terms of the correspondence AdS/CFT. We study the evolution of a massless scalar field in the geometry of black p-branes in detail, and we use the WKB method and the characteristic integration (Goursats problem) in order to calculate the corresponding quasinormal frequencies. Ultimately, we present an approximate expression for a superconductor state in the field theory defined in the AdS boundary of Gauss-Bonnet AdS spacetime.
 
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tese_ver1.pdf (1.09 Mbytes)
Publishing Date
2010-10-22
 
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