# The gauge theoretical underpinnings of general relativity

## TL;DR

This paper presents a gauge theoretical formulation of general relativity focusing on local intrinsic geometry, using gauge groups like the general linear, Lorentz, and spin groups to describe spacetime structure.

## Contribution

It introduces a gauge theoretical framework for general relativity based on local intrinsic geometry and specific gauge groups, offering a new perspective on spacetime structure.

## Key findings

- Formulation of GR as a gauge theory using differentiable maps
- Identification of relevant gauge groups: GL(4), Lorentz, and spin groups
- Focus on local intrinsic geometry of spacetime

## Abstract

The gauge theoretical formulation of general relativity is presented. We are only concerned with local intrinsic geometry, i.e. our space-time is an open subset of a four-dimensional real vector space. Then the gauge group is the set of differentiable maps from this open subset into the general linear group or into the Lorentz group or into its spin cover.