Study of quasinormal frequency of black p-branas

Author(s)

Jéferson de Oliveira

• Document type: Doctoral Thesis
• Press: São Paulo.
• Institution: Universidade de São Paulo (USP). Instituto de Física (IF/SBI)
• Defense date: 2010-06-07

Examining board members

Elcio Abdalla; Cecilia Bertoni Martha Hadler Chirenti; Marcelo Otavio Caminha Gomes; George Emanuel Avraam Matsas; Alberto Vazquez Saa

• Advisor: Elcio Abdalla

Abstract

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. (AU)