Cosmological Dynamics in the Case of Positive Spatial Curvature
A.Yu. Kamenshchik1, I.M. Khalatnikov2 and A.V. Toporensky3
(1) L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences Kosygin St. 2, Moscow 117334, Russia
(2) L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences Kosygin St. 2, Moscow 117334, Russia
(3) Sternberg Astronomical Institute, Moscow University, Moscow 119899, Russia
Abstract
We investigate the simplest cosmological model with a massive real scalar non-interacting inflaton field minimally coupled to gravity. The classification of trajectories in a closed minisuperspace Friedmann-Robertson-Walker model is presented. The possible fractal nature of the set of bounced trajectories in the case of vanishing cosmological constant is discussed. The modification of this picture in the presence of a nonzero cosmological constant is presented.
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