We explore the mimetic gravity formulation with the inclusion of a scalar field potential namely, $V\left(\varphi \right)$. However, we are not considering any a priori specific form this term. By means of the Chevallier–Polarski–Linder parametrization for the parameter state of the fluid we can construct an explicit function for such potential in terms of the cosmological redshift and obtain analytical solutions in the mimetic gravity approach. We revise some cosmological implications of these results and additionally we perform a numerical reconstruction for the potential $V$ as a function of the mimetic scalar field, $\varphi$.

中文翻译：

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重建模拟宇宙学

我们探索了包含标量场势的模拟重力公式，即 $V（\varphi ）$。但是，我们不考虑此术语的任何先验特定形式。通过对液体的参数状态进行Chevallier–Polarski–Linder参数化，我们可以在宇宙学红移方面为这种势能构造一个显式函数，并在模拟重力方法中获得解析解。我们修改了这些结果的一些宇宙学含义，此外，我们还对潜在的数值进行了数值重建$V$ 作为模拟标量场的函数， $\varphi$。