标题： 高阶扭力引力中的参数化后牛顿形式 显示英文标题

标题： Parametrized post-Newtonian formalism in higher-order Teleparallel Gravity

摘要： 我们研究了高阶导数扭力修正的全等引力理论的参数化后牛顿（PPN）极限。 我们从通过恢复该理论的自旋连接的修正全等引力的协变形式开始。 然后，我们在闵可夫斯基背景周围对四维标架场进行后牛顿展开，并找到扰动场方程。 我们计算了允许我们证明在后牛顿极限下，这种更一般的理论类别是完全保守的，并且与广义相对论无法区分的高阶全等引力理论的PPN度规。 通过这种方式，我们将之前工作中对$F(T)$引力得到的结果进行了扩展。 此外，我们的计算揭示了考虑二阶后牛顿（2PN）近似或参数化后牛顿宇宙学（PPNC）框架的重要性，在其中来自全等引力一般修正的额外微扰模式可能导致新的可观测印记。 显示英文摘要

摘要： We study the parametrized post-Newtonian (PPN) limit of higher-derivative-torsion Modified Teleparallel Gravity. We start from the covariant formulation of modified Teleparallel Gravity by restoring the spin connection of the theory. Then, we perform the post-Newtonian expansion of the tetrad field around the Minkowski background and find the perturbed field equations. We compute the PPN metric for the higher-order Teleparallel Gravity theories which allows us to show that at the post-Newtonian limit this more general class of theories are fully conservative and indistinguishable from General Relativity . In this way, we extend the results that were already found for $F(T)$ gravity in previous works. Furthermore, our calculations reveal the importance of considering a second post-Newtonian (2PN) order approximation or a parametrized post-Newtonian cosmology (PPNC) framework where additional perturbative modes coming from general modifications of Teleparallel Gravity could lead to new observable imprints.