Cosmological evolution of a statistical system of degenerate scalar-charged fermions with an asymmetric scalar doublet. I. Two-component system of assorted charges

Abstract

Based on the mathematical model of a statistical system with scalar interaction of fermions formulated earlier, a cosmological model based on a two-component statistical system of scalar charged degenerate fermions interacting with an asymmetric scalar doublet, canonical and phantom scalar fields, is investigated. The asymptotic and limiting properties of the cosmological model are investigated, and it is shown that among all models there is a class of models with a finite lifetime. The asymptotic behavior of models near the corresponding singularities is investigated and numerical implementations of such models are constructed.

14 pages, 15 figures, 29 references

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• 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
• Cosmological evolution of a statistical system of degenerate scalar charged fermions with an asymmetric scalar doublet. II. One-component system of doubly charged fermions
• Cosmological models based on an asymmetric scalar doublet with kinetic coupling of components. I. General properties of the cosmological model
• Cosmological models based on an asymmetric scalar doublet with kinetic coupling of components. II. Numerical modeling