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2024, no. 1

EVOLUTION OF THE OPEN UNIVERSE IN THE FIFTH DIMENSION AS A TASK ON A PARTICLE MOVEMENT IN A FORCE FIELD

Baranov A.M., Saveljev E.V.

The reduction of modeling the evolution problem of the open Universe is demonstrated. The cosmological model is discribed by a conformally flat metric of a five-dimensional space-time in Fock’s form. The discription of such model is reduced to an equivalent task of the mechanical motion of a unit mass particle in a some "force field". Exact cosmological five-dimensional analogs 4D of the Universe’s open models are obtained by introducing mechanical force potentials in five-dimensional space-time. There are the Friedman model and as well as cosmological models filled with matter and radiation in the approximation of the perfect fluid.

Keywords: the open universe models, a "mechanical" approach to the construction of cosmological models, the cosmological constant.

UDC: 530.12; 530.51

PACS: 04.20.-q; 98.80.Jk

DOI: 10.17238/issn2226-8812.2024.1.17-21

Please cite this article in English as:
Baranov A.M., Saveljev E.V. Evolution of the open Universe in the fifth dimension as a task on a particle movement in a force field. Space, Time and Fundamental Interactions, 2024, no. 1, pp. 17-21.