Transport coefficients for a family of extensions of AdS Reissner-Nordström black brane
In this work we develop the necessary methodology to calculate transport coefficients using the AdS/CFT correspondence. The first three chapters are a review of General Relativity, AdS/CFT correspondence and its applications on how to compute correlation functions, which turn out to be related to transport coefficients. Some examples are given along the way, including computation of transport coefficients associated to the AdS-Reissner-Nordstrom black brane. The fourth chapter is where a family of extensions to AdS-Reissner-Nordstrom black brane is derived, via ADM formalism. Some of its properties are discussed and the procedure to compute transport coefficients are outlined. Some perspectives are given at the end, including how to formulate a model of holographic superconductor, expected unusual behaviour of thermo-electric conductivity (i.e. violation of Wiedeman,-Franz law) and possible extensions to higher dimensions, corresponding to a dual field theory describing a quark-gluon plasma.