Gravitational-scalar instability of a cosmological model based on a two-component system of degenerate scalarly charged fermions with asymmetric higgs interaction. II. WKB-approximation | Izvestiya vuzov. Fizika. 2022. № 9. DOI: 10.17223/00213411/65/9/78

Gravitational-scalar instability of a cosmological model based on a two-component system of degenerate scalarly charged fermions with asymmetric higgs interaction. II. WKB-approximation

Solutions of the system of evolutionary equations in the short-wavelength approximation are found and studied. A connection is established between the problem of the evolution of short-wavelength gravitational-scalar perturbations and the problem of eigenvectors and values of a linear operator. By means of an applied mathematical package, a program for calculating the amplitudes of perturbations of the cosmological model was created. It is shown that unstable short-wavelength perturbation modes arise in such a system. A numerical model for the evolution of gravitational-scalar perturbations of the cosmological model has been constructed and analyzed.

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Keywords

cosmological models, Higgs fields, degenerate fermions, scalar charges, perturbations, instability, WKB-approximation

Authors

NameOrganizationE-mail
Ignat’ev Yu.G.Institute of Physics Kazan Federal Universityyurii.ignatev.1947@yandex.ru
Всего: 1

References

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Ignat’ev Yu.G., Kokh I.A. // Theor. Math. Phys. - 2021. - V. 207. - No. 1. - P. 514-552; arXiv:2104.01054 [gr-qc].
 Gravitational-scalar instability of a cosmological model based on a two-component system of degenerate scalarly charged fermions with asymmetric higgs interaction. II. WKB-approximation | Izvestiya vuzov. Fizika. 2022. № 9. DOI: 10.17223/00213411/65/9/78

Gravitational-scalar instability of a cosmological model based on a two-component system of degenerate scalarly charged fermions with asymmetric higgs interaction. II. WKB-approximation | Izvestiya vuzov. Fizika. 2022. № 9. DOI: 10.17223/00213411/65/9/78