Kazan (Volga region) Federal University, KFU
KAZAN
FEDERAL UNIVERSITY
 
YU. G. IGNAT'EV. QUALITATIVE AND NUMERICAL ANALYSIS OF A COSMOLOGICAL MODELY BASED ON A CLASSICAL MASSIVE SCALAR FIELD // GRAVITATION AND COSMOLOGY, 2017, VOL. 23, NO. 2, PP. 131–141.
Form of presentationArticles in international journals and collections
Year of publication2017
Языканглийский
  • Ignatev Yuriy Gennadievich, author
  • Bibliographic description in the original language Yu. G. Ignat'ev. Qualitative and Numerical Analysis of a Cosmological Modely Based on a Classical Massive Scalar Field // Gravitation and Cosmology, 2017, Vol. 23, No. 2, pp. 131–141. DOI: 10.1134/S0202289317020049
    Annotation On the basis of a qualitative analysis of the set of differential equations of the standard cosmological model it is shown that in the case of zero cosmological constant Λ this set has a stable center corresponding to zero values of the potential and its derivative at infinity. Thus the model based on a single massive classical scalar field would give a flat Universe in the infinite future. A numerical simulation of the dynamic system corresponding to the set of Einstein-Klein-Gordon equations has shown that at latetimes of the evolution the invariant cosmological acceleration has an oscillating nature and changes from −2 (braking), to +1 (acceleration). The average value of the cosmological acceleration is negative and is equal to −1/2. Oscillations of the cosmological acceleration happen in the background of a rapidly falling Hubble parameter. In the case of a nonzero value of Λ, depending on its value, three various qualitative behavior types of the dynamic system on the 2D plane
    Keywords gravitation, cosmology, standart cosmological model, quality theory of differential equations, jscillation of cosmology accseleration
    The name of the journal GRAVITATION & COSMOLOGY
    Please use this ID to quote from or refer to the card https://repository.kpfu.ru/eng/?p_id=155977&p_lang=2

    Full metadata record