Казанский (Приволжский) федеральный университет, КФУ
КАЗАНСКИЙ
ФЕДЕРАЛЬНЫЙ УНИВЕРСИТЕТ
 
SIMILARITY OF COSMOLOGICAL MODELS AND ITS APPLICATION TO THE ANALYSIS OF COSMOLOGICAL EVOLUTION
Форма представленияСтатьи в зарубежных журналах и сборниках
Год публикации2024
Языканглийский
  • Игнатьев Юрий Геннадиевич, автор
  • Библиографическое описание на языке оригинала Yu. G. Ignat'ev, Similarity of Cosmological Models and its Application to the Analysis of Cosmological Evolution \\ Theoretical and Mathematical Physics, 219(1): 688–703 (2024)
    Аннотация Scale transformations of cosmological models based on a statistical system of degenerate fermions with a scalar Higgs interaction are studied. The similarity properties of cosmological models under scale trans formations of their fundamental parameters are revealed. The transformation laws for the coordinates of singular points and eigenvalues of the characteristic matrix of the dynamical system of the cosmolog ical model under its scale transformations are established. With the help of the transformation to new variables, the previously studied dynamical system of scalar-charged fermions is modified to a dynamical system with a nondegenerate characteristic matrix; for its nondegenerate branch, the singular points and eigenvalues of the characteristic matrix are found, which coincide with the corresponding values for the vacuum field model. Examples of numerical simulation of such cosmological models are given
    Ключевые слова scalar-charged plasma, cosmological model, Higgs scalar field, similarity transformation,qualitative analysis
    Название журнала THEORETICAL AND MATHEMATICAL PHYSICS
    URL https://trebuchet.public.springernature.app/get_content/1a1bb86f-6982-4d04-8848-9de806ec679b?utm_source=rct_congratemailt&utm_medium=email&utm_campaign=nonoa_20240426&utm_content=10.1134/S0040577924040123
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