Dynamical interplay between coupled scalar dark sectors and gravity

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 space–time 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 R3-P1: mathematical compatibility of the current theoretical model with the recent history of the Universe, obtaining R3-P1 possible constraints for the model’s parameters in some specific cases. In the present setup, 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.