We show that the extended cosmological equation-of-state developed starting from a Chaplygin equation-of-state, recently applied to stellar modelling, is a viable dark energy model consistent with standard scalar potentials. Moreover we find a Lagrangian formulation based on a canonical scalar field with the appropriate self-interaction potential. Finally, we fit the scalar potential obtained numerically with concrete functions well studied in the literature. Our results may be of interest to model builders and particle physicists.

中文翻译：

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拉格朗日公式用于扩展的宇宙状态方程

我们表明，从夏普利金状态方程开始发展的扩展宇宙学状态方程，是最近应用于恒星建模的，是与标准标量势一致的可行暗能量模型。此外，我们发现了基于正则标量场的拉格朗日公式，并具有适当的自相互作用势。最后，我们将数字获得的标量势与文献中充分研究的具体函数进行拟合。我们的结果可能对模型构建者和粒子物理学家感兴趣。