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Post-Newtonian limit of teleparallel Horndeski gravity

Sebastián BahamondeDepartment of Mathematics, University College London, Gower Street, London, WC1E 6BT, United KingdomKonstantinos F. DialektopoulosCenter for Gravitation and Cosmology, College of Physical Science and Technology, Yangzhou University, Yangzhou 225009, People’s Republic of ChinaManuel HohmannLaboratory of Theoretical Physics, Institute of Physics, University of Tartu, W. Ostwaldi 1, 50411 Tartu, EstoniaJackson Levi SaidDepartment of Physics, University of Malta, Msida, MSD 2080, Malta
2020en
ABI

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Abstract We consider the newly proposed Bahamonde–Dialektopoulos–Levi Said (BDLS) theory, that is the Horndeski analog in the teleparallel framework and thus contains a non-minimally coupled scalar field, including higher order derivatives, that leads however to second order field equations both for the tetrad and the scalar field. This theory was mostly constructed to revive those models that were severely constrained in the scalar–tensor version of the theory from the GW170817, but includes also much richer phenomenology because of the nature of the torsion tensor. For this theory we determine the parameterized post-Newtonian (PPN) limit, calculate the full set of post-Newtonian parameters and highlight some special cases.

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