KFU. Card publication. Similarity of cosmological models and its application to the analysis of cosmological evolution

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FEDERAL UNIVERSITY

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SIMILARITY OF COSMOLOGICAL MODELS AND ITS APPLICATION TO THE ANALYSIS OF COSMOLOGICAL EVOLUTION

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, Similarity of cosmological models and its application to the analysis of cosmological evolution // arXiv:2307.13761 [gr-qc]

Annotation

Scale transformations of cosmological models based on a statistical system of degenerate fermions with a scalar Higgs interaction are studied. The similarity properties of cosmological models are revealed under the scale transformation of their fundamental parameters. The laws of transformation of the coordinates of singular points and eigenvalues of the characteristic matrix of the dynamical system of the cosmological model under its scale transformations are established. With the help of the previously studied dynamical system of scalarly charged fermions is transformed to new variables and modified to a dynamical system with a nondegenerate characteristic matrix and its nondegenerate branch, the singular points and eigenvalues of the characteristic matrix are found, which coincide with the corresponding values for the vacuum field model. Examples of numerical simulation of such cosmological models are given.

Keywords

scalarly charged plasma, cosmological model, Higgs scalar field, similarity trans\-for\-mation, qualitative analysis.

The name of the journal

arXiv: General Relativity and Quantum Cosmology

URL

https://arxiv.org/abs/2307.13761

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

https://repository.kpfu.ru/eng/?p_id=284285&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, Similarity of cosmological models and its application to the analysis of cosmological evolution // arXiv:2307.13761 [gr-qc]	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=284285&p_lang=2	ru_RU
dc.description.abstract	arXiv: General Relativity and Quantum Cosmology	ru_RU
dc.description.abstract	Scale transformations of cosmological models based on a statistical system of degenerate fermions with a scalar Higgs interaction are studied. The similarity properties of cosmological models are revealed under the scale transformation of their fundamental parameters. The laws of transformation of the coordinates of singular points and eigenvalues of the characteristic matrix of the dynamical system of the cosmological model under its scale transformations are established. With the help of the previously studied dynamical system of scalarly charged fermions is transformed to new variables and modified to a dynamical system with a nondegenerate characteristic matrix and its nondegenerate branch, the singular points and eigenvalues of the characteristic matrix are found, which coincide with the corresponding values for the vacuum field model. Examples of numerical simulation of such cosmological models are given.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	scalarly charged plasma	ru_RU
dc.subject	cosmological model	ru_RU
dc.subject	Higgs scalar field	ru_RU
dc.subject	similarity trans\-for\-mation	ru_RU
dc.subject	qualitative analysis.	ru_RU
dc.title	Similarity of cosmological models and its application to the analysis of cosmological evolution	ru_RU
dc.type	Articles in international journals and collections	ru_RU