The General Linear Cartan Khronon

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.

Keywords

• conformal and metric-affine gauge theories of gravitation
• Cartan geometry