Dynamical interplay between coupled scalar dark sectors and gravity

In this paper, we explore a novel cosmological model based on coupled fields in the framework of scalar–tensor theories, considering the specific interplay between gravity and scalar fields. The model further extends a recent axion–dilaton system by introducing viable couplings with the spacetime geometry encoded into the scalar curvature. After briefly introducing the action and the corresponding field equations, we employ linear stability theory to investigate the physical properties. The analysis showed the mathematical compatibility of the current theoretical model with the recent history of the Universe, obtaining possible constraints for the model’s parameters in some specific cases. In this paper, the axion–dilaton system is non-minimally coupled with gravity in an independent manner, leading to distinct physical features in the phase space structure, possible alleviating the cosmic coincidence problem.