Formulação covariante da relatividade especial com aplicação em hidrodinâmica relativística

Abstract

This paper addresses the Covariant Formulation of Special Relativity (SR), with its application in the description of Relativistic Fluids (Relativistic Hydrodynamics). A study of Lorentz transformation is made focusing on the geometric aspects of Minkowski space-time. Einstein’s notation is used to find the invariants of the theory. This tensor calculus is applied to the problem of the perfect fluid. It is presented as a support material for undergraduate students who are interested in delving deeper into the subject. The main mathematical aspects were developed in a clear and concise way, which should allow a faster learning of the fundamental concepts of the theory.