The Self-Consistent Field Method and the Macroscopic Universe Consisting of a Fluid and Black Holes

Abstract

© 2019, Pleiades Publishing, Ltd. The article discusses and substantiates a self-consistent approach to the macroscopic description of systems with gravitational interaction. Corrections to the equation of state of the fluid are found, based on the macroscopic Einstein equations which were obtained by averaging over microscopic spherically symmetric metric fluctuations created by primordial black holes in a fluid medium. It is shown that these corrections are effectively equivalent to addition to the system of a fluid with the equation of state p = −ε. In addition, it is shown that, in this case, the mass of black holes can grow at a modern stage of evolution to very large values.