Electrodinámica relativista con el lenguaje de las formas diferenciales

Abstract

One of the objectives of this thesis is to formulate electrodynamics in a geometrically oriented manner. Why this geometric approach? The strengths of the geometric approach are more of conceptual nature (but not its only one). It will enable us to understand the framework of physical foundations to formulate electrodynamics. ¿Do we need a metric to formulate electrodynamics? How does the structure of electrodynamics emerge from the condition of relativistic invariance? These types of questions are best addressed in a geometry oriented framework. Another is to formulate the equations of electrodynamics in a very concise manner. This compact formulation is not only of aesthetic value, rather, it connects to the third and perhaps most important aspect: understand electrodynamics as a representative of a family of theories known as gauge theories.