Cosmological Evolution of a Statistical System of Degenerate Scalarly Charged Fermions with an Asymmetric Scalar Doublet. II. One-Component System of Doubly Charged Fermions$${}^{a}$$

Ignat'ev, Yu. G.; Agathonov, A. A.; Ignatyev, D. Yu.

doi:10.1134/s0202289322010066

Gravit. Cosmol.

2022

DOI: 10.1134/s0202289322010066

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Cosmological Evolution of a Statistical System of Degenerate Scalarly Charged Fermions with an Asymmetric Scalar Doublet. II. One-Component System of Doubly Charged Fermions$${}^{a}$$

Yu. G. Ignat'ev

A. A. Agathonov

D. Yu. Ignatyev

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Cited by 6 publications

References 16 publications

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Evolution of spherical perturbations in the cosmological environment of degenerate scalar-charged fermions with a scalar Higgs coupling

Ignat'ev

2023

Theor Math Phys

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A mathematical model is constructed for the evolution of spherical perturbations in a cosmological onecomponent statistical system of completely degenerate scalarly charged fermions with a scalar Higgs interaction. A complete system of self-consistent equations for small perturbations describing the evolution of spherical perturbations is constructed. Singular parts in perturbation modes corresponding to point mass and scalar charge are singled out. Systems of ordinary differential equations are obtained that describe the evolution of the mass and charge of a singular source, and systems of partial differential equations that describe the evolution of non-singular parts of perturbations. In this case, the coefficients of partial differential equations are described by solutions of evolutionary equations for mass and charge. The problem of spatially localized perturbations for solutions polynomial in the radial coordinate is reduced to a recurrent system of ordinary linear differential equations for the coefficients of these polynomials. The properties of solutions in the case of cubic polynomials are studied, in particular, it is shown that the radii of localization of gravitational and scalar perturbations coincide and evolve in proportion to the scale factor. Numerical modeling of the evolution of perturbations was carried out, in particular, it confirmed the exponential growth of the central mass of the perturbation, and also revealed the oscillatory nature of the evolution of the scalar charge.

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Evolution of spherical perturbations in the cosmological environment of degenerate scalar-charged fermions with a scalar Higgs coupling

Ignat'ev

2023

Theor Math Phys

Self Cite

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Similarity of cosmological models and its application to the analysis of cosmological evolution

Ignat’ev

2024

Theor Math Phys

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Cosmological Models Based on an Asymmetric Scalar Doublet with Kinetic Coupling of Components. I. General Properties of the Cosmological Model

Ignat’ev,

Kokh

2024

Gravit. Cosmol.

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Cosmological Evolution of a Statistical System of Degenerate Scalarly Charged Fermions with an Asymmetric Scalar Doublet. II. One-Component System of Doubly Charged Fermions$${}^{a}$$

Cited by 6 publications

References 16 publications

Evolution of spherical perturbations in the cosmological environment of degenerate scalar-charged fermions with a scalar Higgs coupling

Evolution of spherical perturbations in the cosmological environment of degenerate scalar-charged fermions with a scalar Higgs coupling

Similarity of cosmological models and its application to the analysis of cosmological evolution

Cosmological Models Based on an Asymmetric Scalar Doublet with Kinetic Coupling of Components. I. General Properties of the Cosmological Model

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