KFU. Card publication. Qualitative Analysis and Numerical Simulation of Equations of the Standard Cosmological Model

KAZAN
FEDERAL UNIVERSITY

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QUALITATIVE ANALYSIS AND NUMERICAL SIMULATION OF EQUATIONS OF THE STANDARD COSMOLOGICAL MODEL

Form of presentation

Articles in international journals and collections

Year of publication

2016

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Authors, employees of KFU

Ignatev Yuriy Gennadievich, author

Bibliographic description in the original language

Yurii Ignat'ev. Qualitative Analysis and Numerical Simulation of Equations of the Standard Cosmological Model // arXiv:1609.00745 [gr-qc]

Annotation

On the basis of qualitative theory of differential equations it is shown that dynamic system based on the system of Einstein - Klein - Gordon equations with regard to Friedman Universe has a stable center corresponding to zero values of scalar potential and its derivative at infinity. Thus, the cosmological model based on single massive classical scalar field in infinite future would give a flat Universe. The carried out numerical simulation of the dynamic system corresponding to the system of Einstein - Klein - Gordon equations showed that at great times of the evolution the invariant cosmological acceleration has a microscopic oscillating character (T 2mt), while macroscopic value of the cosmological acceleration varies from +1 at inflation stage after which if decreases fast to −1/2 (non-relativistic stage), and then slowly tends to −1 (ultrarelativistic stage).

Keywords

standard cosmological model, instability, quality analysis, numerical simulation, zero-center, flat universe

The name of the journal

arXiv: General Relativity and Quantum Cosmology

URL

http://arxiv.org/abs/1609.00745

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

https://repository.kpfu.ru/eng/?p_id=137215&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Ignatev Yuriy Gennadievich	ru_RU
dc.date.accessioned	2016-01-01T00:00:00Z	ru_RU
dc.date.available	2016-01-01T00:00:00Z	ru_RU
dc.date.issued	2016	ru_RU
dc.identifier.citation	Yurii Ignat'ev. Qualitative Analysis and Numerical Simulation of Equations of the Standard Cosmological Model // arXiv:1609.00745 [gr-qc]	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=137215&p_lang=2	ru_RU
dc.description.abstract	arXiv: General Relativity and Quantum Cosmology	ru_RU
dc.description.abstract	On the basis of qualitative theory of differential equations it is shown that dynamic system based on the system of Einstein - Klein - Gordon equations with regard to Friedman Universe has a stable center corresponding to zero values of scalar potential and its derivative at infinity. Thus, the cosmological model based on single massive classical scalar field in infinite future would give a flat Universe. The carried out numerical simulation of the dynamic system corresponding to the system of Einstein - Klein - Gordon equations showed that at great times of the evolution the invariant cosmological acceleration has a microscopic oscillating character (T 2mt), while macroscopic value of the cosmological acceleration varies from +1 at inflation stage after which if decreases fast to −1/2 (non-relativistic stage), and then slowly tends to −1 (ultrarelativistic stage).	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	standard cosmological model	ru_RU
dc.subject	instability	ru_RU
dc.subject	quality analysis	ru_RU
dc.subject	numerical simulation	ru_RU
dc.subject	zero-center	ru_RU
dc.subject	flat universe	ru_RU
dc.title	Qualitative Analysis and Numerical Simulation of Equations of the Standard Cosmological Model	ru_RU
dc.type	Articles in international journals and collections	ru_RU