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

TL;DR

This paper explores new integrable cosmological models within hybrid metric-Palatini gravity, identifying specific functional forms through symmetry conditions and deriving exact solutions using quadratic and Laurent series expansions.

Contribution

It introduces a method to determine functional forms of hybrid metric-Palatini gravity models via symmetry constraints, leading to new exact solutions.

Findings

Identified conditions for Liouville integrability in hybrid gravity models.

Derived explicit solutions in quadratic and Laurent series forms.

Demonstrated the existence of new cosmological solutions in the theory.

Abstract

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 which found in this study are presented in terms of quadratics and Laurent expansions.