Uma introdução à gravitação em 3D como uma teoria de Gauge: soluções e simetrias.

Abstract

Lower dimensional gravity provides a toy model capable of helping in the understanding of open questions in physics, such as quantum gravity. Three dimensional gravity is equivalent to the Chern-Simons (gauge) theory, seeming when explicitly written in the first order formalism. The goal of this project is to investigate gravity in three dimensions under a gauge theory aspect, focusing on the solutions and symmetries of the model. Thus, it is intended to study the first-order action equivalent to Einstein-Hilbert action expressed in terms of the Dreibein and the spin connection, explore the constraint structure of the Chern-Simons theory via Dirac procedure, and, in the particular case of Anti-de Sitter space, obtain the BTZ black hole solution and the asymptotic symmetries.