No-chaos theorem for non-minimally coupled scalar field cosmology and a new cosmogenesis scenario

A general dynamical system approach to classical sell-consistent scaler fie ld cosmology is presented in the framework of spatially flat FLRW space-tim es, for arbitrary potentials and arbitrary non-minimal coupling. We show th at these universes cannot undergo chaotic behaviors, thus suggesting a poss ible new role of inflation in cosmology. An unexpectedly involved topology of the phase-portrait of the cosmological dynamics is exhibited: Dynamicall y forbidden regions, playing a crucial dynamical role, appear. A new exact critical solution, a heteroclinic orbit, connects two de Sitter inflationar y regimes. We suggest a novel intriguing semiclassical cosmogenesis scenari o in which the quantized scalar field could tunnel through the classically forbidden region, from the Minkowski space-time towards the nearest classic ally allowed solution: The critical one.