# The General Linear Cartan Khronon

## TL;DR

This paper formulates a Cartan geometry with General Linear symmetry, resulting in a quadratic curvature action that reproduces General Relativity with dark matter in a symmetry-broken phase.

## Contribution

It introduces a novel Cartan geometric framework based on the General Linear group, linking it to gravitational physics and dark matter phenomena.

## Key findings

- Quadratic curvature action derived from the geometry.
- Reproduces General Relativity predictions with dark matter effects.
- Provides a new geometric perspective on gravity and dark matter.

## Abstract

A Cartan geometry of the General Linear symmetry is formulated by dividing out the displacements from the group. The resulting action is quadratic in curvature, polynomial in all the (minimal) variables, and describes an observer space that, in the symmetry-broken phase, reproduces the predictions of General Relativity in the presence of dark matter.