KFU. Card publication. Yurii Ignat'ev, Alexander Agathonov, Irina Kokh. The Peculiarities of the Cosmological Models Based on Nonlinear Classical and Phantom Fields with Minimal Interaction. II. The Cosmological Model Based on the Asymmetrical Scalar Doublet. // arXiv:1810.09873 [gr-qc]

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YURII IGNAT'EV, ALEXANDER AGATHONOV, IRINA KOKH. THE PECULIARITIES OF THE COSMOLOGICAL MODELS BASED ON NONLINEAR CLASSICAL AND PHANTOM FIELDS WITH MINIMAL INTERACTION. II. THE COSMOLOGICAL MODEL BASED ON THE ASYMMETRICAL SCALAR DOUBLET. // ARXIV:1810.09873 [GR-QC]

Form of presentation

Articles in international journals and collections

Year of publication

2018

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Authors, employees of KFU

Agafonov Aleksandr Alekseevich, author

Ignatev Yuriy Gennadievich, author

Kokh Irina Aleksandrovna, author

Bibliographic description in the original language

Yurii Ignat'ev, Alexander Agathonov, Irina Kokh. The Peculiarities of the Cosmological Models Based on Nonlinear Classical and Phantom Fields with Minimal Interaction. II. The Cosmological Model Based on the Asymmetrical Scalar Doublet. // arXiv:1810.09873 [gr-qc]

Annotation

A detailed comparative qualitative analysis and numerical simulation of evolution of the cosmological models based on the doublet of classical and phantom scalar fields with self-action. The 2-dimensional and 3-dimensional projections of the phase portraits of the corresponding dynamic system are built. Just as in the case of single scalar fields, the phase space of such systems, becomes multiply connected, the ranges of negative total effective energy unavailable for motion, getting appear here. The distinctive feature of the asymmetrical scalar doublet is the time dependency of the prohibited ranges' projections on the phase subspaces of each field as a result of which the existence of the limit cycles with null effective energy depends on the parameters of the field model and initial conditions. The numerical models where the dynamic system has limit cycles on hypersurfaces of null energy, arebuilt. It is shown, that even quite weak phantom field in such model undertakes functions

Keywords

cosmological model, phantom and classical scalar fields, quality analysis, asymptotic behavior, numerical simulation

The name of the journal

arXiv: General Relativity and Quantum Cosmology

URL

https://arxiv.org/pdf/1810.09873.pdf

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

https://repository.kpfu.ru/eng/?p_id=187095&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Agafonov Aleksandr Alekseevich	ru_RU
dc.contributor.author	Ignatev Yuriy Gennadievich	ru_RU
dc.contributor.author	Kokh Irina Aleksandrovna	ru_RU
dc.date.accessioned	2018-01-01T00:00:00Z	ru_RU
dc.date.available	2018-01-01T00:00:00Z	ru_RU
dc.date.issued	2018	ru_RU
dc.identifier.citation	Yurii Ignat'ev, Alexander Agathonov, Irina Kokh. The Peculiarities of the Cosmological Models Based on Nonlinear Classical and Phantom Fields with Minimal Interaction. II. The Cosmological Model Based on the Asymmetrical Scalar Doublet. // arXiv:1810.09873 [gr-qc]	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=187095&p_lang=2	ru_RU
dc.description.abstract	arXiv: General Relativity and Quantum Cosmology	ru_RU
dc.description.abstract	A detailed comparative qualitative analysis and numerical simulation of evolution of the cosmological models based on the doublet of classical and phantom scalar fields with self-action. The 2-dimensional and 3-dimensional projections of the phase portraits of the corresponding dynamic system are built. Just as in the case of single scalar fields, the phase space of such systems, becomes multiply connected, the ranges of negative total effective energy unavailable for motion, getting appear here. The distinctive feature of the asymmetrical scalar doublet is the time dependency of the prohibited ranges' projections on the phase subspaces of each field as a result of which the existence of the limit cycles with null effective energy depends on the parameters of the field model and initial conditions. The numerical models where the dynamic system has limit cycles on hypersurfaces of null energy, arebuilt. It is shown, that even quite weak phantom field in such model undertakes functions	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	cosmological model	ru_RU
dc.subject	phantom and classical scalar fields	ru_RU
dc.subject	quality analysis	ru_RU
dc.subject	asymptotic behavior	ru_RU
dc.subject	numerical simulation	ru_RU
dc.title	Yurii Ignat'ev, Alexander Agathonov, Irina Kokh. The Peculiarities of the Cosmological Models Based on Nonlinear Classical and Phantom Fields with Minimal Interaction. II. The Cosmological Model Based on the Asymmetrical Scalar Doublet. // arXiv:1810.09873 [gr-qc]	ru_RU
dc.type	Articles in international journals and collections	ru_RU