KFU. Card publication. Evolution of flat perturbations in a cosmological environment of a scalar field with self-action and an ideal scalar-neutral fluid

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EVOLUTION OF FLAT PERTURBATIONS IN A COSMOLOGICAL ENVIRONMENT OF A SCALAR FIELD WITH SELF-ACTION AND AN IDEAL SCALAR-NEUTRAL FLUID

Form of presentation

Articles in international journals and collections

Year of publication

2026

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Authors, employees of KFU

Ignatev Yuriy Gennadievich, author

Bibliographic description in the original language

Yu. G. Ignat'ev, Evolution of flat perturbations in a cosmological environment of a scalar field with self-action and an ideal scalar-neutral fluid//Theoretical and Mathematical Physics, 226(2): 338–371 (2026)

Annotation

We formulate and investigate a mathematical model of the S(0) cosmological system based on a classical scalar field with self-interaction and an ideal scalar-neutral fluid. For a nonzero fluid energy density, the system of equations for the perturbations is reduced to a Lifshitz–Khalatnikov form, which is used to study the cosmological evolution of perturbations at singular points of the S(0) background model. At these points, the scalar field, on the one hand, and the gravitational perturbations and the fluid, on the other, become independent subsystems. We find exact solutions for the perturbations of the scalar field, gravitational perturbations, and the perturbation of the energy-momentum of the fluid for its nonrelativistic and ultrarelativistic states. Near stable singular points of the background, the perturbations decay, while near unstable singular points, they grow exponentially rapidly. We find an asymptotic solution to the equation for the perturbation of a scalar field for sufficiently large wavenumbers. This solution is used to establish necessary and sufficient conditions for system instability and evolution. We establish laws for scaling the results of perturbation theory to the parameters of known field-theoretical interaction models.

Keywords

scalar-charged plasma, cosmological model, scalar field with self-interaction, gravitational stability, longitudinal plane perturbations

The name of the journal

THEORETICAL AND MATHEMATICAL PHYSICS

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

https://repository.kpfu.ru/eng/?p_id=323295&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Ignatev Yuriy Gennadievich	ru_RU
dc.date.accessioned	2026-01-01T00:00:00Z	ru_RU
dc.date.available	2026-01-01T00:00:00Z	ru_RU
dc.date.issued	2026	ru_RU
dc.identifier.citation	Yu. G. Ignat'ev, Evolution of flat perturbations in a cosmological environment of a scalar field with self-action and an ideal scalar-neutral fluid//Theoretical and Mathematical Physics, 226(2): 338–371 (2026)	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=323295&p_lang=2	ru_RU
dc.description.abstract	THEORETICAL AND MATHEMATICAL PHYSICS	ru_RU
dc.description.abstract	We formulate and investigate a mathematical model of the S(0) cosmological system based on a classical scalar field with self-interaction and an ideal scalar-neutral fluid. For a nonzero fluid energy density, the system of equations for the perturbations is reduced to a Lifshitz–Khalatnikov form, which is used to study the cosmological evolution of perturbations at singular points of the S(0) background model. At these points, the scalar field, on the one hand, and the gravitational perturbations and the fluid, on the other, become independent subsystems. We find exact solutions for the perturbations of the scalar field, gravitational perturbations, and the perturbation of the energy-momentum of the fluid for its nonrelativistic and ultrarelativistic states. Near stable singular points of the background, the perturbations decay, while near unstable singular points, they grow exponentially rapidly. We find an asymptotic solution to the equation for the perturbation of a scalar field for sufficiently large wavenumbers. This solution is used to establish necessary and sufficient conditions for system instability and evolution. We establish laws for scaling the results of perturbation theory to the parameters of known field-theoretical interaction models.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	scalar-charged plasma	ru_RU
dc.subject	cosmological model	ru_RU
dc.subject	scalar field with self-interaction	ru_RU
dc.subject	gravitational stability	ru_RU
dc.subject	longitudinal plane perturbations	ru_RU
dc.title	Evolution of flat perturbations in a cosmological environment of a scalar field with self-action and an ideal scalar-neutral fluid	ru_RU
dc.type	Articles in international journals and collections	ru_RU