Cosmological models from a geometric point of view

TL;DR

This paper provides a pedagogical overview of cosmological models, focusing on Bianchi cosmologies, isometry groups, and the orthonormal tetrad method, based on lecture notes from a 1971 summer school.

Contribution

It offers an accessible introduction to the geometric aspects of cosmological models and the mathematical tools used to analyze them, such as isometry groups and tetrads.

Findings

Survey of known cosmological models as of 1971

Explanation of isometry groups in spacetime

Introduction to the orthonormal tetrad method

Abstract

(There is no original abstract.) These are lecture notes from a 1971 summer school surveying the then known cosmological models in particular the properties of Bianchi cosmologies, and giving a pedagogical introduction to groups of isometries in spacetime and to the orthonormal tetrad method.