Vacuum pressure and the flow of time beneath the Earth's surface

In the standard cosmological model, the acceleration of the Universe expansion depends on the vacuum pressure. This work considers the possibility of determining it from the properties of a local gravitational system. Mechanism of vacuum pressure occurrence based on gravitational defect of masses is studied. Its value is obtained for the inner region of a weakly gravitating spherical static gravity source with constant density. The equation of state corresponds to the solution of Einstein's equations for a sphere within which time flows equally everywhere. This solution is used to estimate the flow of time under the Earth's surface. The results are compared with the values obtained on the basis on the dependence of its flow only on the gravitational potential.