The self-consistent field method and macroscopic Einstein equations for the early universe

Stability of the cosmological system of degenerated scalar charged fermions and Higgs scalar fields. I. Mathematical model of linear plane perturbations

“…From the remaining equations we choose 3 independent ones: (57), ( 60) and (61) in order to maximize the approximation of the mathematical model to the standard Lifshitz theory. In this case, the equation (60) coincides with the corresponding equation of the Lifshitz theory, and the equation (61) differs from the corresponding equation from the work [6] only by the material term δp p . In the capacity of the equation defining the scalar function δ(η) one can choose the equation ( 59).…”

“…This equation differs from the similar one for perturbations of the vacuum scalar field only by the term with the source of the scalar field on the righthand side (see [6]).…”

“…It can be shown (see e.g, [6]), that the differentialalgebraic consequences of the equations ( 58) -( 61) are the equations for the perturbations of the scalar field (57) and the equations of motion of the first approximation of degenerate matter. The last ones, obviously, are excessive, since the perturbations of the speed and energy density of matter are directly determined by the equations ( 58) and (59).…”