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Disformal Transformations in Scalar–Torsion Gravity

Laboratory of Theoretical Physics, Institute of Physics, University of Tartu, W. Ostwaldi 1, 50411 Tartu, Estonia
This paper is based on the talk at the Teleparallel Universes in Salamanca, Salamanca, Spain, 26–28 November 2018.
Universe 2019, 5(7), 167;
Received: 4 May 2019 / Revised: 4 July 2019 / Accepted: 5 July 2019 / Published: 7 July 2019
(This article belongs to the Special Issue Selected Papers from Teleparallel Universes in Salamanca)
PDF [224 KB, uploaded 7 July 2019]


We study disformal transformations in the context of scalar extensions to teleparallel gravity, in which the gravitational interaction is mediated by the torsion of a flat, metric compatible connection. We find a generic class of scalar–torsion actions which is invariant under disformal transformations, and which possesses different invariant subclasses. For the most simple of these subclasses we explicitly derive all terms that may appear in the action. We propose to study actions from this class as possible teleparallel analogues of healthy beyond Horndeski theories. View Full-Text
Keywords: teleparallel gravity; scalar–torsion gravity; disformal transformations teleparallel gravity; scalar–torsion gravity; disformal transformations
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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Hohmann, M. Disformal Transformations in Scalar–Torsion Gravity. Universe 2019, 5, 167.

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