Certain aspects of regularity in scalar field cosmological dynamics
arXiv:0705.4036 · doi:10.1134/S1560354707040016
Abstract
We consider dynamics of the FRW Universe with a scalar field. Using Maupertuis principle we find a curvature of geodesics flow and show that zones of positive curvature exist for all considered types of scalar field potential. Usually, phase space of systems with the positive curvature contains islands of regular motion. We find these islands numerically for shallow scalar field potentials. It is shown also that beyond the physical domain the islands of regularity exist for quadratic potentials as well.
15 pages with 4 figures; typos corrected, final version to appear in Regular and Chaotic Dynamics
References in corpus (7)
- Bouncing Universes with Varying Constants
- Bulk effects in the cosmological dynamics of brane-world scenarios
- Inflation without Slow Roll
- Chaos, Fractals and Inflation
- Chaos in Quantum Cosmology
- Non-Singular Cosmological Models in String Gravity with Second Order Curvature Corrections
- Regular and Chaotic Regimes in Scalar Field Cosmology