The existence of an analytic solution of Einstein's equations, which contains a maximum number of physically arbitrary functions, in which scale factor R of the co-moving space passes through a regular minimum, corresponding to the finite density, is shown. Cases of an ideal and a viscous medium upon complete specification of the law of viscosity are considered separately. The nature of the distortion of the comoving space, variation in the volume and density of the ideal and viscous fluids are examined near the regular minimum of R.
Sternberg Astronomical Institute, Moscow State University. Universitetsky pr., 13, Moscow, 119991,Russia