O estudo da equação de Dirac no espaço curvo na métrica de Schwarzschild

Abstract

This work presents the study of the reasons for the need for the introduction of gravitation, General Relativity, whose foundation is based on Differential Geometry, together with theories that describe matter. We are going to establish the objects of this geometry and build the Einstein equation, then obtaining a result of this equation, which is the Schwarzschild space-time metric. With that we will look for ways through the gauge theories to describe the spin in the curved space and to describe a Dirac particle in that metric