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2023, no. 1

SOLUTION OF THE GEODESIC EQUATION IN THE INDUCED THEORY OF MODIFIED GRAVITY FOR THE CASE OF COSMOLOGICAL MODELS

Zaripov F.Sh., Ulyanova E.S.

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.

Keywords: dark matter, gravity, galaxy, star formation.

UDC: 517.917

PACS: 34D08, 93C15

DOI: 10.17238/issn2226-8812.2023.1.6064

Please cite this article in English as:
Zaripov F.Sh., Ulyanova E.S. Solution of the Geodesic Equation in the Induced Theory of Modified Gravity for the Case of Cosmological Models. Space, Time and Fundamental Interactions, 2023, no. 1, pp. 6064.