Evolution of the open universe in the fifth dimension as a task on a particle movement in a force field

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.