Short-Wave Approximation for Macroscopic Cosmology with Higgs Scalar Field

Abstract

Based on the macroscopic equations of cosmological evolution obtained earlier by the Author, a closed system of macroscopic Einstein equations in the short-wave approximation for perturbations of the scalar Higgs and gravitational fields has been obtained and examined. The obtained exact solutions of macroscopic equations are determined by three microscopic parameters, depending on the spectrum of perturbations.

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

“…Let us suggest that exact microscopic metrics of Riemann space -time V 4 can be written in form [3,4]:…”

“…How should we obtain the equations that would describe the macroscopic metrics in this case? The general principles of averaging of microscopic metrics in WKB -approximation and at derivation of macroscopic Einstein equations were stated in the works of Isaacson [20,21] (1968), and later used for the construction of the theory of relativistic statistical systems with gravitational interaction in the Author's works [1], [2], [3]. So, let us perform averaging of the Einstein equations and corresponding equations of physical fields.…”

“…This paper is devoted to this problem. 3 We will consider classical model of the Universe filled with fluid with barotropic equation of state p = kε,…”

“…see English version[3], details in monograph[4] 2. it is incorrectly called an extremely rigid in[6] 3.…”

“…see English version[3], details in monograph[4] 2. it is incorrectly called an extremely rigid in[6] 3. This work was funded by the subsidy allocated to Kazan Federal University for the state assignment in the sphere of scientific activities.…”