The BMS group and its applications to the theory of relativity
Summary
In special relativity one is frequently interested in the Poincaré group. The Poincaré group consists of transformations on R^4 that leave the laws of nature invariant. In general relativity there exists a similar group of transformations called the BMS group. The BMS group consists of specific transformations at infinity. In this thesis we set out to understand the BMS group, starting from the knowledge level of a bachelor degree in mathematics and a basic course in special relativity. Our end goal will be a basic understanding of the BMS group from both a mathematical and physical perspective. In our journey to achieve this we will develop an understanding of pseudo-Riemannian geometry.
Prerequisites are an understanding of group theory, differential geometry and special relativity. Minor reference will be made to a variety of other topics in mathematics.