  A new approach to obtaining open Universes models as exact solutions of
gravitational equations is considered. The proposed method is based on an
analogy between electrostatics of conductors and open cosmological models which
have a conformally-flat 4-metric in the Fock form. These cosmological models
are solutions of the Einstein equations with the energy-momentum tensor of a
Pascal perfect fluid. As a result, it is shown that the capacity of the
multidimensional "ball" electric capacitor in multidimensional Euclidean
auxiliary space is connected with harmonic functions by which the potentials of
multidimensional capacitors are described. In turn, the conformal factor of the
metric describing an open universe model in the Fock representation is a power
function of this potential for each dimensionality of the Euclidean space. In
particular, for 3D auxiliary Euclidean space in 4D space-time, there is the
Friedman solution for an open universe filled with incoherent dust (with flat
metric at spatial infinity). Further for 4D Euclidean space, we have an
analogue of the open cosmological model with the equation of state of an
ultra-relativistic gas. Other cases are listed in a table. A table of the
matter states which generalizes this approach to multidimensional space-times
is also constructed. Thus, the possibility of replacing the modelling problem
in cosmology with the equivalent electrostatic problem for finding the capacity
of capacitors is shown under specified boundary conditions. Exceptions from the
general approach are also presented in the article.
