Parameterized post Newtonian approximation in a teleparallel model of dark energy with a boundary term

Abstract

We study the parameterized post-Newtonian approximation in teleparallel model of gravity with a scalar field. The scalar field is non-minimally coupled to the scalar torsion as well as to the boundary term introduced in [1]. We show that, in contrast to the case where the scalar field is only coupled to the scalar torsion, the presence of the new coupling affects the parameterized post-Newtonian parameters. These parameters for different situations are obtained and discussed.

15 pages, typos corrected, title slightly changed, discussions added, accepted by EPJC

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• FRW in quadratic form of $f(T)$ gravitational theories
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• Interacting Quintessence in a New Scalar-Torsion Gravity