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.
Keywords:
islands of regular motion, scalar field cosmology.
Citation:
A. Toporensky, P. Tretyakov, “Certain Aspects of Regularity in Scalar Field Cosmological Dynamics”, Regul. Chaotic Dyn., 12:4 (2007), 357–364
\Bibitem{TopTre07}
\by A. Toporensky, P.~Tretyakov
\paper Certain Aspects of Regularity in Scalar Field Cosmological Dynamics
\jour Regul. Chaotic Dyn.
\yr 2007
\vol 12
\issue 4
\pages 357--364
\mathnet{http://mi.mathnet.ru/rcd628}
\crossref{https://doi.org/10.1134/S1560354707040016}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2350329}
\zmath{https://zbmath.org/?q=an:1229.37124}
Linking options:
https://www.mathnet.ru/eng/rcd628
https://www.mathnet.ru/eng/rcd/v12/i4/p357
This publication is cited in the following 2 articles:
L. A. León Andonayre, M. A. Skugoreva, A. V. Toporensky, T. Vargas, “A Note on the Arrow of Time in Nonminimally Coupled Scalar Field FRW Cosmology”, Gravit. Cosmol., 29:4 (2023), 404
Giovanni Acquaviva, Georgios Lukes-Gerakopoulos, “Dynamics and chaos in the unified scalar field cosmology. II. System in a finite box”, Phys. Rev. D, 95:4 (2017)
Citation in format AMSBIB
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