Solution of the geodesic equation in the induced theory of modified gravity for the case of cosmological models

The work is a continuation of a series of works in which a modified theory of induced gravity (MTIG) was proposed. A model with matter in the form of an ideal fluid interacting with a scalar field is considered. Based on the obtained solutions for the scale factor and the scalar field for the Friedmann-Lemaitre-Robertson-Walker metric, the equations of geodesic lines are solved for various parameter values. The purpose of this article is to study geodesic lines in a model with an oscillatory nature of cosmological parameters such as the scale factor and the Hubble parameter.