We investigate the existence of Liouville integrable cosmological models in hybrid metric-Palatini theory. Specifically, we use the symmetry conditions for the existence of quadratic in the momentum conservation laws for the field equations as constraint conditions for the determination of the unknown functional form of the theory. The exact and analytic solutions of the integrable systems found in this study are presented in terms of quadratics and Laurent expansions.

中文翻译：

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来自动态对称性的混合度量-帕拉蒂尼引力的新宇宙学解决方案

我们研究了混合度量-帕拉蒂尼理论中刘维尔可积宇宙模型的存在。具体而言，我们利用场方程的动量守恒定律中二次方程存在的对称性条件作为确定该理论未知泛函形式的约束条件。本研究中发现的可积系统的精确解和解析解以二次和 Laurent 展开的形式呈现。