KFU. Card publication. Cosmological Models Based on a Statistical System of Scalar Charged Degenerate Fermions and an Asymmetric Higgs Scalar Doublet/

- RUS
- 中文
- ES

COSMOLOGICAL MODELS BASED ON A STATISTICAL SYSTEM OF SCALAR CHARGED DEGENERATE FERMIONS AND AN ASYMMETRIC HIGGS SCALAR DOUBLET/

Form of presentation

Articles in international journals and collections

Year of publication

2021

��

��

Authors, employees of KFU

Ignatev Yuriy Gennadievich, author

Bibliographic description in the original language

Yu. G. Ignat'ev, D. Yu. Ignatyev. Cosmological Models Based on a Statistical System of Scalar Charged Degenerate Fermions and an Asymmetric Higgs Scalar Doublet// arXiv:2111.00492 [gr-qc]

Annotation

On the basis of the general relativistic statistical and kinetic theory, a consistent closed cosmological model is formulated. It is based on a statistical system of scalar charged fermions interacting by means of classical and phantom scalar fields. Based on the study of the microscopic dynamics of scalar charged particles, within the framework of the Lagrangian as well as Hamiltonian formalism, a function of the dynamic mass of scalar charged particles was constructed and it was shown that for the consistency of the theory, it is necessary to remove the nonnegativity condition for this function. On the basis of the Lagrangian formalism, equations of gravitational and scalar fields with singular sources are formulated and microscopic conservation laws are obtained. Within the framework of the general relativistic kinetic theory, macroscopic equations of gravitational and scalar fields are formulated and macroscopic conservation laws are obtained. These equations' full correspondence to microscopic equations with singular sources is shown. Further, on the basis of the obtained equations, a cosmological model for a degenerate system of scalarly charged fermions is formulated. An exact solution of the constitutive equations for a degenerate scalar-charged plasma in the cosmological model is obtained, which made it possible to significantly simplify the original system of equations. On the basis of the obtained solution of the constitutive equations, two fundamentally different cosmological models are formulated, one of which has two types of singly scalarly charged fermions, while the second has one kind of fermions charged with two charges of various nature. A qualitative analysis of the obtained 6-dimensional dynamic system for a two-component model is carried out.

Keywords

scalar charged plasma, cosmological model, scalar fields, asymmetric scalar doublet, qualitative analysis, macroscopic and microscopic equations.

The name of the journal

ArXiv[gr-qc]

URL

https://arxiv.org/abs/2111.00492#

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

https://repository.kpfu.ru/eng/?p_id=258644&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Ignatev Yuriy Gennadievich	ru_RU
dc.date.accessioned	2021-01-01T00:00:00Z	ru_RU
dc.date.available	2021-01-01T00:00:00Z	ru_RU
dc.date.issued	2021	ru_RU
dc.identifier.citation	Yu. G. Ignat'ev, D. Yu. Ignatyev. Cosmological Models Based on a Statistical System of Scalar Charged Degenerate Fermions and an Asymmetric Higgs Scalar Doublet// arXiv:2111.00492 [gr-qc]	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=258644&p_lang=2	ru_RU
dc.description.abstract	ArXiv[gr-qc]	ru_RU
dc.description.abstract	On the basis of the general relativistic statistical and kinetic theory, a consistent closed cosmological model is formulated. It is based on a statistical system of scalar charged fermions interacting by means of classical and phantom scalar fields. Based on the study of the microscopic dynamics of scalar charged particles, within the framework of the Lagrangian as well as Hamiltonian formalism, a function of the dynamic mass of scalar charged particles was constructed and it was shown that for the consistency of the theory, it is necessary to remove the nonnegativity condition for this function. On the basis of the Lagrangian formalism, equations of gravitational and scalar fields with singular sources are formulated and microscopic conservation laws are obtained. Within the framework of the general relativistic kinetic theory, macroscopic equations of gravitational and scalar fields are formulated and macroscopic conservation laws are obtained. These equations' full correspondence to microscopic equations with singular sources is shown. Further, on the basis of the obtained equations, a cosmological model for a degenerate system of scalarly charged fermions is formulated. An exact solution of the constitutive equations for a degenerate scalar-charged plasma in the cosmological model is obtained, which made it possible to significantly simplify the original system of equations. On the basis of the obtained solution of the constitutive equations, two fundamentally different cosmological models are formulated, one of which has two types of singly scalarly charged fermions, while the second has one kind of fermions charged with two charges of various nature. A qualitative analysis of the obtained 6-dimensional dynamic system for a two-component model is carried out.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	scalar charged plasma	ru_RU
dc.subject	cosmological model	ru_RU
dc.subject	scalar fields	ru_RU
dc.subject	asymmetric scalar doublet	ru_RU
dc.subject	qualitative analysis	ru_RU
dc.subject	macroscopic and microscopic equations.	ru_RU
dc.title	Cosmological Models Based on a Statistical System of Scalar Charged Degenerate Fermions and an Asymmetric Higgs Scalar Doublet/	ru_RU
dc.type	Articles in international journals and collections	ru_RU