Казанский (Приволжский) федеральный университет, КФУ
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QUALITATIVE ANALYSIS AND NUMERICAL SIMULATION OF EQUATIONS OF THE STANDARD COSMOLOGICAL MODEL
Форма представленияСтатьи в зарубежных журналах и сборниках
Год публикации2016
Языканглийский
  • Игнатьев Юрий Геннадиевич, автор
  • Библиографическое описание на языке оригинала Yurii Ignat'ev. Qualitative Analysis and Numerical Simulation of Equations of the Standard Cosmological Model // arXiv:1609.00745 [gr-qc]
    Аннотация 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).
    Ключевые слова standard cosmological model, instability, quality analysis, numerical simulation, zero-center, flat universe
    Название журнала arXiv: General Relativity and Quantum Cosmology
    URL http://arxiv.org/abs/1609.00745
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