| Форма представления | Статьи в зарубежных журналах и сборниках |
| Год публикации | 2026 |
| Язык | английский |
|
Игнатьев Юрий Геннадиевич, автор
|
| Библиографическое описание на языке оригинала |
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)
|
| Аннотация |
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. |
| Ключевые слова |
scalar-charged plasma, cosmological model, scalar field with self-interaction, gravitational stability, longitudinal plane perturbations |
| Название журнала |
THEORETICAL AND MATHEMATICAL PHYSICS
|
| Пожалуйста, используйте этот идентификатор, чтобы цитировать или ссылаться на эту карточку |
https://repository.kpfu.ru/?p_id=323295 |
Полная запись метаданных  |
| Поле DC |
Значение |
Язык |
| dc.contributor.author |
Игнатьев Юрий Геннадиевич |
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/?p_id=323295 |
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 |
Статьи в зарубежных журналах и сборниках |
ru_RU |
|
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