Казанский (Приволжский) федеральный университет, КФУ
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COSMOLOGICAL EVOLUTION OF A STATISTICAL SYSTEM OF DEGENERATE SCALAR CHARGED FERMIONS WITH AN ASYMMETRIC SCALAR DOUBLET. II. ONE-COMPONENT SYSTEM OF DOUBLY CHARGED FERMIONS
Форма представленияСтатьи в зарубежных журналах и сборниках
Год публикации2022
Языканглийский
  • Игнатьев Юрий Геннадиевич, автор
  • Библиографическое описание на языке оригинала Yu. G. Ignat'ev, A.A. Agathonov, D. Yu. Ignatyev. // Cosmological evolution of a statistical system of degenerate scalar charged fermions with an asymmetric scalar doublet. II. One-component system of doubly charged fermions arXiv:2203.12766 [gr-qc]
    Аннотация Based on the previously formulated mathematical model of a statistical system with scalar interaction of fermions, a cosmological model based on a one-component statistical system of doubly scalar charged degenerate fermions interacting with an asymmetric scalar doublet-canonical and phantom scalar fields-is studied. The connection of the presented model with previously studied models based on one-component and two-component fermion systems is investigated. The asymptotic and limiting properties of the cosmological model are investigated, it is shown that among all models there is a class of models with a finite lifetime. The asymptotic behavior of models near the corresponding singularities is investigated, a qualitative analysis of the corresponding dynamical system is carried out, and numerical implementations of such models are constructed. Based on numerical integration, it is shown that in the presented model there can be transitions from a stable asymptotically vacuum state with a zero canonical field and a constant phantom field corresponding to the phase of cosmological compression to a symmetric state corresponding to the expansion phase. The time interval of the transition between phases is accompanied by oscillations of the canonical scalar field.
    Ключевые слова gravitation, cosmgy, scalar fields, charged fermions, cosmological model, numeric modeling
    Название журнала arXiv: General Relativity and Quantum Cosmology
    URL https://arxiv.org/abs/2203.12766
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