Conditions of Collapse of a Spherically Distributed Condensed Matter

Space-time inside a sphere of incompressible liquid is studied by the mathematical methods of chronometric invariants (physical observable quantities in General Relativity). We have obtained exact solutions to the field equations in the cases: 1) the sphere models planet or star; 2) the sphere is a cosmological model. Conditions of collapse have been obtained for both cases. It is shown that in the cosmological model the surface of a liquid universe (filled inside by an incompressible liquid consisting of galaxies and stars) is not coinciding with the surface of collapse calculated for the liquid sphere: a spherical liquid universe of a radius of 10$^{28}$ cm (size of the Metagalaxy we observe) is surrounded by a collapse surface whose radius is ten times bigger, 10$^{29}$ cm, while the large layer between the liquid sphere and the collapse surface is filled with only gravitational field (we refer to it as a galaxy-free and star-free layer). It is shown that in this model the four-dimensional curvature of space-time is positive, the three-dimensional curvature of space is negative, and Hubble redshift in three-dimensional (observable) space is proportional to the square of distance.