Treballs finals del Màster en Matemàtica Avançada, Facultat de matemàtiques, Universitat de Barcelona, Any: 2014, Director: Carlos Currás Bosch
The aim of this project is to outline the Special Relativity and the General Relativity
theory, paying special attention to some mathematical concepts, such as Lorentz transformations and the Ricci tensor, which happen to be key points to this theory which
revolutionated Physics in the beginning of last century. We assume that the reader have
some previous mathematical knowledge, specially about Differential Geometry, and will
therefore skip definitions and theorems regarding this area of Mathematics (such as the
definition of connexion, Riemannian metrics or curvature). We shall give some notions of
classical Physics in the first chapter, in order to look over them in Chapters 2 and 3 at light
of Special Relativity and General Relativity theories, respectively.