A no-chaos theorem for non-minimally coupled scalar field cosmology and a new cosmogenesis scenario
2000
Citations per year
Abstract: (WSP)
A general dynamical system approach to classical self-consistent scalar field cosmology is presented in the framework of spatially flat FLRW space–times, for arbitrary potentials and arbitrary non-minimal coupling. We show that these universes cannot undergo chaotic behaviors, thus suggesting a possible new role of inflation in cosmology. An unexpectedly involved topology of the phase-portrait of the cosmological dynamics is exhibited: Dynamically forbidden regions, playing a crucial dynamical role, appear. A new exact critical solution, a heteroclinic orbit, connects two de Sitter inflationary regimes. We suggest a novel intriguing semiclassical cosmogenesis scenario in which the quantized scalar field could tunnel through the classically forbidden region, from the Minkowski space–time towards the nearest classically allowed solution: The critical one.- cosmological model
- field theory: scalar
- space-time: Robertson-Walker
- dynamical system
- inflation
- chaos
- approximation: semiclassical
References(0)
Figures(0)
0 References