Kazan (Volga region) Federal University, KFU
KAZAN
FEDERAL UNIVERSITY
 
QUALITATIVE AND NUMERICAL ANALYSIS OF A COSMOLOGICAL MODEL BASED ON AN ASYMMETRIC SCALAR DOUBLET WITH MINIMAL CONNECTIONS. IV. NUMERICAL MODELING AND TYPES OF BEHAVIOR OF THE MODEL
Form of presentationArticles in international journals and collections
Year of publication2019
Языканглийский
  • Ignatev Yuriy Gennadievich, author
  • Kokh Irina Aleksandrovna, author
  • Bibliographic description in the original language Yu. G. Ignat'ev, I. A. Kokh. Qualitative and Numerical Analysis of a Cosmological Model Based on an Asymmetric Scalar Doublet with Minimal connections. IV. Numerical Modeling and Types of Behavior of the Model // arXiv:1907.03298 [gr-qc]
    Annotation On the basis of a qualitative and numerical analysis of a cosmological model based on an asymmetric scalar doublet of nonlinear, minimally interacting scalar fields -- one classical and one phantom, peculiarities of the behavior of the model near zero energy hypersurfaces have been revealed. Numerical models have been constructed, in which the dynamical system has limit cycles on the zero-energy hypersurfaces. Three types of behavior of the cosmological model have been distinguished, configured by the fundamental constants of the scalar fields and the initial conditions. It is shown that over a wide sector of values of the fundamental constants and initial conditions, the cosmological models have a tendency to adhere to the zero-energy hypersurfaces corresponding to 4-dimensional Euclidean space.
    Keywords cosmological model, phantom scalar field, classical scalar field, asymmetric scalar dou-blet, qualitative analysis, numerical modeling, Euclidean limit cycles
    The name of the journal arXiv: General Relativity and Quantum Cosmology
    URL https://arxiv.org/pdf/1907.03298.pdf
    Please use this ID to quote from or refer to the card https://repository.kpfu.ru/eng/?p_id=205332&p_lang=2

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