Quantum gravitational processes in a hot ultrarelativistic gas and their effect on the isotropic Universe evolution

Abstract

The variant of quasiclassical (half-quantum) theory of gravity in strong gravitational field is presented. The exact solution of the problem of the renormalized energy-momentum tensor calculation is performed in terms of non-local operator-signed function. The procedure of quasilocalization is proposed, which leads to the equations of non-equilibrium thermodynamics for temperature and curvature. The effects of induced particle creation and media polarization are taking into account and used to solve the problem of non-Einstein's branches damping. The problem of Universe creation from "nothing" is also discussed.