Campos de Killing y aplicaciones

Abstract

The purpose of this thesis is to make a rigorous and approachable introduction to Killing fields and their applications to any undergrad that is studying or has studied a general relativity course. Applications range from direct treatment of geodesics in usual metrics like the Schwarzschild, Kerr or FLRW metrics to applications to optics as an effective theory passing through the more geometrical sides of general relativity and maximally symmetric spaces. Additionally, as part of the agreement with Brown university, there is a dedicated section talking about the internship results on the study of a certain quantum inflationary model and the validity and asymptotic behaviors of the model.