Dynamical models for dark energy are an alternative to the cosmological constant. It is important to investigate properties of perturbations in these models and go beyond the smooth FRLW cosmology. This allows us to distinguish different dark energy models with the same expansion history. For this, one often needs the potential for a particular expansion history. We study how such potentials can be reconstructed obtaining closed formulae for potential or reducing the problem to quadrature. We consider three classes of models here: tachyons, quintessence, and, interacting dark energy. We present results for constant w and the CPL parameterization. The method given here can be generalized to any arbitrary form of w(z).

中文翻译：

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动态暗能量势的重建：精髓、快子和相互作用模型

暗能量的动力学模型是宇宙常数的替代方案。研究这些模型中扰动的特性并超越平滑的 FRLW 宇宙学是很重要的。这使我们能够区分具有相同膨胀历史的不同暗能量模型。为此，人们通常需要特定扩张历史的潜力。我们研究如何重建这些势，以获得势的封闭公式或将问题简化为正交。我们在这里考虑三类模型：快子、精华和相互作用的暗能量。我们给出了常数 w 和 CPL 参数化的结果。这里给出的方法可以推广到任意形式的 w(z)。