Certain aspects of regularity in scalar field cosmological dynamics

Details Certain aspects of regularity in scalar field cosmological dynamics Certain aspects of regularity in scalar field cosmological dynamics

2007-05-28

arxiv.org/abs/0705.4036v3

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages with 4 figures; typos corrected, final version to appear in Regular and Chaotic Dynamics

Scientific paper

10.1134/S1560354707040016

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.

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