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 parametrized post-Newtonian limit, calculate the full set of post-Newtonian parameters and highlight some special cases.

中文翻译：

---

遥平行 Horndeski 引力的后牛顿极限

我们考虑新提出的 Bahamonde-Dialektopoulos-Levi Said (BDLS) 理论，即远程平行框架中的 Horndeski 模拟，因此包含非最小耦合标量场，包括高阶导数，但导致二阶场方程对于四分体和标量场。该理论主要是为了恢复那些在 GW170817 理论的标量张量版本中受到严重限制的模型，但由于扭转张量的性质，还包括更丰富的现象学。对于这个理论，我们确定参数化后牛顿极限，计算全套后牛顿参数并突出一些特殊情况。