KFU. Card publication. Yurii Ignat'ev, Alexander Agathonov, Irina Kokh. The Peculiarities of the Cosmological Models Based on Non-Linear Classical and Phantom Fields with Minimal Interaction. I. The Cosmological Model Based on Scalar Singlet. arXiv:1808.04570 [gr-qc]

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YURII IGNAT'EV, ALEXANDER AGATHONOV, IRINA KOKH. THE PECULIARITIES OF THE COSMOLOGICAL MODELS BASED ON NON-LINEAR CLASSICAL AND PHANTOM FIELDS WITH MINIMAL INTERACTION. I. THE COSMOLOGICAL MODEL BASED ON SCALAR SINGLET. ARXIV:1808.04570 [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

Bibliographic description in the original language

Yurii Ignat'ev, Alexander Agathonov, Irina Kokh. The Peculiarities of the Cosmological Models Based on Non-Linear Classical and Phantom Fields with Minimal Interaction. I. The Cosmological Model Based on Scalar Singlet. arXiv:1808.04570 [gr-qc]

Annotation

A detailed comparative qualitative analysis and numerical simulation of evolution of the cosmological models based on classical and phantom scalar fields with self-action was performed. The phase portraits of the dynamic systems of classical and phantom fields and their projections to the Poincare sphere were constructed. It was shown that the phase trajectories of the corresponding dynamic systems can be split by bifurcation trajectories into 2,4 or 6 different dynamic streams corresponding to different pairwise symmetric histories of the Universe depending on the parameters of the scalar field's model. The phase space of such systems becomes multiply connected, the ranges of negative total effective energy unavailable for motion, getting appear there. In the case when attracting centers are situated inside these ranges, the phase trajectories of the classical scalar field in the infinite future tend to limit cycles, winding onto the boundaries of these ranges. The phase trajectories

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/abs/1808.04570

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

https://repository.kpfu.ru/eng/?p_id=184098&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.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 Non-Linear Classical and Phantom Fields with Minimal Interaction. I. The Cosmological Model Based on Scalar Singlet. arXiv:1808.04570 [gr-qc]	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=184098&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 classical and phantom scalar fields with self-action was performed. The phase portraits of the dynamic systems of classical and phantom fields and their projections to the Poincare sphere were constructed. It was shown that the phase trajectories of the corresponding dynamic systems can be split by bifurcation trajectories into 2,4 or 6 different dynamic streams corresponding to different pairwise symmetric histories of the Universe depending on the parameters of the scalar field's model. The phase space of such systems becomes multiply connected, the ranges of negative total effective energy unavailable for motion, getting appear there. In the case when attracting centers are situated inside these ranges, the phase trajectories of the classical scalar field in the infinite future tend to limit cycles, winding onto the boundaries of these ranges. The phase trajectories	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 Non-Linear Classical and Phantom Fields with Minimal Interaction. I. The Cosmological Model Based on Scalar Singlet. arXiv:1808.04570 [gr-qc]	ru_RU
dc.type	Articles in international journals and collections	ru_RU