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.
Funder
Estonian Research Competency Council
European Regional Development Fund
Subject
General Physics and Astronomy
Reference27 articles.
1. Feynman Lectures on Gravitation;Feynman,1996
2. Gravity and the Poincaré group
3. On Manifolds with an Affine Connection and the Theory of General Relativity;Cartan,1986
4. Teleparallel Gravity;Aldrovandi,2013
5. Spacetime and dark matter from spontaneous breaking of Lorentz symmetry
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