In this paper, we study different Solar System tests in a modified Teleparallel gravity theory based on an arbitrary function $f(T,B)$ which depends on the scalar torsion $T$ and the boundary term $B$. To do this, we first find new perturbed spherically symmetric solutions around Schwarzschild for different power-law forms of the arbitrary Lagrangian. Then, for each model we calculated the photon sphere, perihelion shift, deflection of light, Cassini experiment, Shapiro delay and the gravitational redshift. Finally, we confront these computations with different known experiments from these Solar System tests to put different bounds on the mentioned models. We then conclude that $f(T,B)$ is compatible with these Solar System experiments with a wide range of parameters which are relevant for cosmology.

中文翻译：

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太阳系在修正的远平行引力中的测试

在本文中，我们研究了基于任意函数 $f(T,B)$ 的修正 Teleparallel 引力理论中的不同太阳系测试，该函数取决于标量扭转 $T$ 和边界项 $B$。为此，我们首先针对任意拉格朗日函数的不同幂律形式在 Schwarzschild 周围找到新的扰动球对称解。然后，对于每个模型，我们计算了光子球、近日点偏移、光偏转、卡西尼号实验、夏皮罗延迟和引力红移。最后，我们用来自这些太阳系测试的不同已知实验来面对这些计算，以对上述模型设置不同的界限。然后我们得出结论，$f(T,B)$ 与这些太阳系实验兼容，具有广泛的与宇宙学相关的参数。