Open cosmological model as the oscillator with viscosity

The reduction of a problem the evolution modeling of the open cosmological model of the Universe to an equivalent problem of behavior of the linear harmonic oscillator with viscosity is demonstrated for the four-dimensional conformally flat space-time with a metric in Fock's form. The corresponding cosmological model is the exact solution of the Einstein equations. It is shown that the parameter corresponding to coefficient of viscosity influences evolution of this model. The function of state behavior is graphically shown depending on parameters entering in model. In turn, function of state in each instant represents an equation of state. On the asymptotics such model becomes the open cosmological model Friedman.