Abstract

Inflationary homogeneous isotropic cosmological models filled by scalar fields and ultrarelativistic matter are examined in the framework of gauge theories of gravitation. By using a quadratic scalar field potential, a numerical analysis of flat, open and closed models is carried out. Properties of cosmological models are investigated in dependence on an indefinite parameter of cosmological equations and initial conditions at a bounce. A fulfilled analysis demonstrates the regular character of all cosmological models.

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