Simplest cosmological model with the scalar field

Abstract

We investigate the simplest cosmological model with the massive real scalar non-interacting inflaton field minimally coupled to gravity. The classification of trajectories in closed minisuperspace Friedmann-Robertson-Walker model is presented.The fractal nature of a set of infinitely bounced trajectories is discussed. The results of numerical calculations are compared with those obtained byperturbative analytical calculations around the exactly solvable minisuperspace cosmological model with massless scalar field.

24 pages with 2 gif figures and 4 eps figures, mprocl.sty, To appear in International Journal of Modern Physics D

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