The vacuum pressure inside a sphere with a substance of constant density and the corresponding space-time metric

The pressure of the vacuum is detected as per the geometry of the space around the local gravity system according to Sakharov's idea of a "metrical elasticity" of space, i.e., of the emergence of a generalized force, preventing distortion of space. It is assumed that energy equivalent to the gravitational defect of masses is spent on vacuum deformation. We determine the gravitational impact of matter on the vacuum in case of weakly gravitating static centrally symmetric distribution of matter. Opposite in the sign pressure of vacuum corresponds to appropriate solution of Einstein's equations. It can be used to determine the course of time below the Earth's surface.