Paper detail

Post-Newtonian limit of generalized scalar-torsion theories of gravity

In this article we derive the post-Newtonian limit of a class of teleparallel theories of gravity, where the action is a free function $L(T,X,Y,ϕ)$ of the Torsion scalar $T$ and scalar quantities $X$ and $Y$ built from the dynamical scalar field $ϕ$. We restrict the analysis to a massless scalar field in order to use the parameterized post-Newtonian formalism without modifications, such as introducing an effective gravitational constant which depends on the distance between the interacting masses. In particular the results show a class of fully-conservative theories of gravity, where the only non-vanishing parameters are $γ$ and $β$. For a particular choice of the function $L(T,X,Y,ϕ)$ the theory cannot be distinguished from General Relativity in its post-Newtonian approximation.