Single-field model of gravitational-scalar instability. I. Evolution of perturbations

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 the differential and integral parameters of the instability is revealed. It is shown that the gravitational-scalar instability in the early stages of expansion in the model under study arises at sufficiently small scalar charges. 4 fundamentally different types of perturbations are identified, as well as 4 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 amplitude of perturbations.

arXiv comment18 pages, 23 figures, 16 references

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Cited by in corpus (7)

• Evolution of spherical perturbations in the cosmological environment of degenerate scalarly charged fermions with the Higgs scalar interaction
• Single-Field Model of Gravitational-Scalar Instability. II. Black Hole Formation
• Two-field model of gravitational-scalar instability and the formation of supermassive black holes in the early Universe
• Formation of supermassive nuclei of Black holes in the early Universe by the mechanism of scalar-gravitational instability. I. Local picture
• Scalarly charged particles and interparticle interaction with the Higgs potential
• Evolution of plane perturbations in the cosmological environment of the Higgs scalar field and an ideal scalar charged fluid
• Evolution of spherical perturbations in the cosmological environment of the Higgs scalar field and an ideal scalar charged fluid