Single-Field Model of Gravitational-Scalar Instability. I. Evolution of Perturbations
Yu. G. Ignat’ev
Abstract
On the basis of the previously formulated mathematical model of a statistical system with a scalar interaction of fermions and the theory of gravitational-scalar instability of a cosmological model based on a two-component statistical system of scalarly charged degenerate fermions, a numerical model of the cosmological evolution of gravitational-scalar perturbations for a one-component cosmological system with a canonical scalar interaction is constructed and studied. The influence of the magnitude of the scalar charge of fermions on differential and integral parameters of the instability is revealed. It is shown that the gravitational-scalar instability at early stages of expansion in the model under study arises at sufficiently small scalar charges. Four fundamentally different types of perturbations are identified, as well as four types of gravitational-scalar instability, determined by the fundamental parameters of the model. Examples of numerical models are given that provide large values of the increments of the increase in the perturbation magnitudes.