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The General Linear Cartan Khronon

Nordita, KTH Royal Institute of Technology and Stockholm University, Roslagstullsbacken 23, SE-10691 Stockholm, Sweden
Laboratory of Theoretical Physics, Institute of Physics, University of Tartu, W. Ostwaldi 1, 50411 Tartu, Estonia
National Institute of Chemical Physics and Biophysics, Rävala pst. 10, 10143 Tallinn, Estonia
CEICO, Institute of Physics of the Czech Academy of Sciences, Na Slovance 1999/2, 182 21 Prague, Czech Republic
Author to whom correspondence should be addressed.
This paper is based on the discussions at the Teleparallel Universes in Salamanca, Salamanca, Spain, 26–28 November 2018.
Universe 2019, 5(7), 168;
Received: 7 May 2019 / Revised: 28 June 2019 / Accepted: 1 July 2019 / Published: 8 July 2019
(This article belongs to the Special Issue Selected Papers from Teleparallel Universes in Salamanca)
PDF [254 KB, uploaded 11 July 2019]


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. View Full-Text
Keywords: conformal and metric-affine gauge theories of gravitation; Cartan geometry conformal and metric-affine gauge theories of gravitation; Cartan geometry
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

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Koivisto, T.; Hohmann, M.; Złośnik, T. The General Linear Cartan Khronon. Universe 2019, 5, 168.

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