KFU. Card publication. Qualitative Analysis and Numerical Simulation of Equations of the Standard Cosmological Model: Λ≠0

KAZAN
FEDERAL UNIVERSITY

- RUS
- 中文
- ES

QUALITATIVE ANALYSIS AND NUMERICAL SIMULATION OF EQUATIONS OF THE STANDARD COSMOLOGICAL MODEL: Λ≠0

Form of presentation

Articles in international journals and collections

Year of publication

2016

��

��

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: Λ≠0 // arXiv:1609.08851 [gr-qc].

Annotation

On the basis of qualitative analysis of the system of differential equations of thestandard cosmological model it is shown that in the case of zero cosmological constant this system has a stable center corresponding to zero values of 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 an oscillating character and changes from −2 (braking), to +1 (acceleration). Average value of the cosmological acceleration is negative and is equal to −1/2. Oscillations of the cosmological acceleration happen on the background of rapidly falling Hubble constant. In the case of nonzero value of the cosmological constant depending on its value there are possible three various qu

Keywords

standard cosmological model, instability, quality analysis, numerical simula- tion, zero - center flat universe, cosmological term, numerical gravitation

The name of the journal

arXiv: General Relativity and Quantum Cosmology

URL

http://arxiv.org/abs/1609.08851

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

https://repository.kpfu.ru/eng/?p_id=139310&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: Λ≠0 // arXiv:1609.08851 [gr-qc].	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=139310&p_lang=2	ru_RU
dc.description.abstract	arXiv: General Relativity and Quantum Cosmology	ru_RU
dc.description.abstract	On the basis of qualitative analysis of the system of differential equations of thestandard cosmological model it is shown that in the case of zero cosmological constant this system has a stable center corresponding to zero values of 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 an oscillating character and changes from −2 (braking), to +1 (acceleration). Average value of the cosmological acceleration is negative and is equal to −1/2. Oscillations of the cosmological acceleration happen on the background of rapidly falling Hubble constant. In the case of nonzero value of the cosmological constant depending on its value there are possible three various qu	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 simula- tion	ru_RU
dc.subject	zero - center flat universe	ru_RU
dc.subject	cosmological term	ru_RU
dc.subject	numerical gravitation	ru_RU
dc.title	Qualitative Analysis and Numerical Simulation of Equations of the Standard Cosmological Model: Λ≠0	ru_RU
dc.type	Articles in international journals and collections	ru_RU