In this work, the cosmological inflationary parameters in the correspondence of teleparallel gravity for the scalar–tensor theory are investigated. After the review of [Formula: see text] and [Formula: see text] gravity cosmology, we use the slow-roll approximations to study the behavior of the inflationary parameters namely the spectral index [Formula: see text] and tensor-to-scalar ratio [Formula: see text], and a comparison with observational data for different paradigmatic [Formula: see text] gravity models such as exponential, Linder and power-law models is considered. We also consider the boundary term [Formula: see text] associated with these three models. The obtained behavior of the parameters under consideration shows that it is possible to constrain [Formula: see text] and [Formula: see text] models based on observational data.

中文翻译：

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遥平行引力理论中的膨胀约束

在这项工作中，研究了标量张量理论的远平行引力对应的宇宙膨胀参数。在回顾了[公式：见文]和[公式：见文]重力宇宙学之后，我们使用慢滚近似来研究暴胀参数的行为，即光谱指数[公式：见文]和张量到-标量比[公式：见文本]，并考虑与不同范式[公式：见文本]重力模型（如指数、Linder 和幂律模型）的观测数据进行比较。我们还考虑了与这三个模型相关的边界项 [公式：见正文]。所考虑的参数的获得行为表明，可以根据观测数据约束 [公式：参见文本] 和 [公式：参见文本] 模型。