We investigate alternative candidates to dark energy that can explain the current state of the universe in the framework of the generalized teleparallel theory of gravity $f(T)$ where $T$ denotes the torsion scalar. To achieve this, we carried out a series of reconstruction taking into account to the ordinary and entropy-corrected versions of the holographic and new agegraphic dark energy models. These models used as alternative to dark energy in the literature in order describe the current state of our universe. It is remarked that the models reconstructed indicates behaviors like phantom or quintessence models. Furthermore, we also generated the EoS parameters associated to entropy-corrected models and we observed a transition phase between quintessence state and phantom state as showed by recent observational data. We also investigated on the stability theses models and we created the $\{r-s\}$. The behavior of certains physical parameters as speed of sound and the Statefinder parameters are compatible with current observational data.

中文翻译：

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从 ECHDE 和 ECNADE 模型重建 f(T) 修正重力

我们研究了暗能量的替代候选者，这些候选者可以在广义远程平行引力理论 $f(T)$ 的框架内解释宇宙的当前状态，其中 $T$ 表示扭转标量。为了实现这一点，我们考虑到全息和新年龄暗能量模型的普通版本和熵校正版本，进行了一系列重建。这些模型在文献中用作暗能​​量的替代品，以描述我们宇宙的当前状态。需要注意的是，重建的模型表示像幻影或精华模型这样的行为。此外，我们还生成了与熵校正模型相关的 EoS 参数，并且我们观察到了最近观察数据显示的典型状态和幻像状态之间的过渡阶段。我们还研究了稳定性论文模型，并创建了 $\{rs\}$。某些物理参数如声速和 Statefinder 参数的行为与当前的观测数据兼容。