KFU. Card publication. Evolution of spherical perturbations in the cosmological environment of degenerate scalarly charged fermions with the Higgs scalar interaction

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EVOLUTION OF SPHERICAL PERTURBATIONS IN THE COSMOLOGICAL ENVIRONMENT OF DEGENERATE SCALARLY CHARGED FERMIONS WITH THE HIGGS SCALAR INTERACTION

Form of presentation

Articles in international journals and collections

Year of publication

2023

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Authors, employees of KFU

Ignatev Yuriy Gennadievich, author

Bibliographic description in the original language

Yu. G. Ignat'ev, Evolution of spherical perturbations in the cosmological environment of degenerate scalarly charged fermions with the Higgs scalar interaction // Theoretical and Mathematical Physics, 2023, Volume 215, Issue 3, Pages 862–892

Annotation

A mathematical model is constructed for the evolution of spherical perturbations in a cosmological one-component 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.

Keywords

scalar charged plasma, cosmological model, scalar Higgs field, gravitational instability, spherical perturbations

The name of the journal

THEORETICAL AND MATHEMATICAL PHYSICS

URL

https://link.springer.com/article/10.1134/S0040577923060089

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=281978&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Ignatev Yuriy Gennadievich	ru_RU
dc.date.accessioned	2023-01-01T00:00:00Z	ru_RU
dc.date.available	2023-01-01T00:00:00Z	ru_RU
dc.date.issued	2023	ru_RU
dc.identifier.citation	Yu. G. Ignat'ev, Evolution of spherical perturbations in the cosmological environment of degenerate scalarly charged fermions with the Higgs scalar interaction // Theoretical and Mathematical Physics, 2023, Volume 215, Issue 3, Pages 862–892	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=281978&p_lang=2	ru_RU
dc.description.abstract	THEORETICAL AND MATHEMATICAL PHYSICS	ru_RU
dc.description.abstract	A mathematical model is constructed for the evolution of spherical perturbations in a cosmological one-component 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.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	scalar charged plasma	ru_RU
dc.subject	cosmological model	ru_RU
dc.subject	scalar Higgs field	ru_RU
dc.subject	gravitational instability	ru_RU
dc.subject	spherical perturbations	ru_RU
dc.title	Evolution of spherical perturbations in the cosmological environment of degenerate scalarly charged fermions with the Higgs scalar interaction	ru_RU
dc.type	Articles in international journals and collections	ru_RU