New cosmological solutions in hybrid metric-Palatini gravity from dynamical symmetries

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.

Automated summary

In this study, we investigate the existence of Liouville integrable cosmological models in hybrid metric-Palatini theory by using symmetry conditions and conservation laws for the field equations. The exact and analytic solutions of the integrable systems found in this research are presented in terms of quadratics and Laurent expansions.