KFU. Card publication. Evolution of plane perturbations in the cosmological environment of the Higgs scalar field and an ideal scalar charged fluid.

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EVOLUTION OF PLANE PERTURBATIONS IN THE COSMOLOGICAL ENVIRONMENT OF THE HIGGS SCALAR FIELD AND AN IDEAL SCALAR CHARGED FLUID.

Form of presentation

Articles in international journals and collections

Year of publication

2024

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Authors, employees of KFU

Ignatev Yuriy Gennadievich, author

Bibliographic description in the original language

Yu. G. Ignat'ev, Evolution of plane perturbations in the cosmological environment of the Higgs scalar field and an ideal scalar charged fluid. // arXiv:2408.06896 [gr-qc]

Annotation

A phenomenological model of an ideal fluid with a scalar charge is formulated, on the basis of which a model with a neutral fluid and a vacuum-field model with rules of transition between them are constructed. A qualitative analysis of the obtained dynamic systems is carried out and numerical cosmological models based on these systems are constructed. A mathematical model of plane longitudinal scalar-gravitational perturbations of the Friedmann ideal charged fluid with Higgs interaction is formulated. It is shown that in the absence of fluid, i.e., in the vacuum-field model, gravitational perturbations do not arise. Perturbations of the scalar field are possible only in those cases when in the unperturbed state the cosmological system is at singular points. For these cases, exact solutions of the field equation are found, expressed in Bessel functions of the first and second kind and describing damped oscillations in the case of a stable unperturbed state and growing oscillations in the case of an unstable unperturbed state. The WKB theory of plane scalar-gravitational perturbations is constructed: dispersion equations are obtained in general form and solved for a neutral fluid. In this case, expressions are obtained for the local frequency and growth increment of oscillations, as well as the integral increment. It is shown that only free wave regimes or growing standing oscillations are possible during the evolution. Perturbations in the WKB approximation in a neutral fluid are studied and it is shown that local formulas for the evolution of perturbations correspond to the model of the 1985 article by this http URL. The times of the beginning and end of the instability phase are determined and it is shown that instability can develop only at the unstable inflationary stage of the expansion of the Universe.

Keywords

gravitation,cosmology,scalar Higgs field,perturbations,WKB

The name of the journal

ArXiv[gr-qc]

URL

https://arxiv.org/pdf/2408.06896

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

https://repository.kpfu.ru/eng/?p_id=302937&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Ignatev Yuriy Gennadievich	ru_RU
dc.date.accessioned	2024-01-01T00:00:00Z	ru_RU
dc.date.available	2024-01-01T00:00:00Z	ru_RU
dc.date.issued	2024	ru_RU
dc.identifier.citation	Yu. G. Ignat'ev, Evolution of plane perturbations in the cosmological environment of the Higgs scalar field and an ideal scalar charged fluid. // arXiv:2408.06896 [gr-qc]	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=302937&p_lang=2	ru_RU
dc.description.abstract	ArXiv[gr-qc]	ru_RU
dc.description.abstract	A phenomenological model of an ideal fluid with a scalar charge is formulated, on the basis of which a model with a neutral fluid and a vacuum-field model with rules of transition between them are constructed. A qualitative analysis of the obtained dynamic systems is carried out and numerical cosmological models based on these systems are constructed. A mathematical model of plane longitudinal scalar-gravitational perturbations of the Friedmann ideal charged fluid with Higgs interaction is formulated. It is shown that in the absence of fluid, i.e., in the vacuum-field model, gravitational perturbations do not arise. Perturbations of the scalar field are possible only in those cases when in the unperturbed state the cosmological system is at singular points. For these cases, exact solutions of the field equation are found, expressed in Bessel functions of the first and second kind and describing damped oscillations in the case of a stable unperturbed state and growing oscillations in the case of an unstable unperturbed state. The WKB theory of plane scalar-gravitational perturbations is constructed: dispersion equations are obtained in general form and solved for a neutral fluid. In this case, expressions are obtained for the local frequency and growth increment of oscillations, as well as the integral increment. It is shown that only free wave regimes or growing standing oscillations are possible during the evolution. Perturbations in the WKB approximation in a neutral fluid are studied and it is shown that local formulas for the evolution of perturbations correspond to the model of the 1985 article by this http URL. The times of the beginning and end of the instability phase are determined and it is shown that instability can develop only at the unstable inflationary stage of the expansion of the Universe.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	gravitation	ru_RU
dc.subject	cosmology	ru_RU
dc.subject	scalar Higgs field	ru_RU
dc.subject	perturbations	ru_RU
dc.subject	WKB	ru_RU
dc.title	Evolution of plane perturbations in the cosmological environment of the Higgs scalar field and an ideal scalar charged fluid.	ru_RU
dc.type	Articles in international journals and collections	ru_RU