The Cosmological Principle

This Bachelor of Science thesis details the mathematical foundations of cosmology. It reviews the fundamental concepts of differential and Riemannian geometry, including manifolds, one-forms, tensors, connections, and the Levi-Civita connection. The thesis then applies these concepts to cosmology by examining spacetime manifolds, the Cosmological Principle, and the Friedman-Lemaitre-Robertson-Walker metric. Finally, it discusses the Hubble-Lemaitre Law, the Hubble constant, and cosmological redshift.