The study of the Dirac equation in curved space in the Schwarzschild metric.

Name: Wesllen Hammet Rupf Ferreira
Type: MSc dissertation
Publication date: 30/10/2020

Namesort ascending Role
Humberto Belich Junior Advisor *

Examining board:

Namesort ascending Role
Wesley Spalenza Co advisor *
José Abdalla Helayel Neto External Examiner *
Humberto Belich Junior Advisor *
Gabriel Luchini Martins Internal Examiner *

Summary: 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.

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