Black Holes and Hidden Symmetries - Solution Generating Techniques with Dimensional Reduction and Group Theory

Abstract

In this bachelor thesis we have studied a technique of generating solutions for the curvature of black holes. In order to understand the underlying theory of this method we have studied the fundamentals of general relativity and group theory. The technique utilizes dimensional reduction to expose hidden symmetries of black holes, which enables us to find new solutions. This type of solution-generating technique is currently subject to heavy research, with hope of exposing deeper symmetries of spacetime and black holes.