Similarity of cosmological models and its application to the~analysis of cosmological evolution
Teoretičeskaâ i matematičeskaâ fizika, Tome 219 (2024) no. 1, pp. 181-198
Voir la notice de l'article provenant de la source Math-Net.Ru
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 transformations 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 cosmological 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.
Keywords:
scalar-charged plasma, cosmological model, Higgs scalar field, similarity transformation, qualitative analysis.
@article{TMF_2024_219_1_a11,
author = {Yu. G. Ignat'ev},
title = {Similarity of cosmological models and its application to the~analysis of cosmological evolution},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {181--198},
publisher = {mathdoc},
volume = {219},
number = {1},
year = {2024},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2024_219_1_a11/}
}
TY - JOUR AU - Yu. G. Ignat'ev TI - Similarity of cosmological models and its application to the~analysis of cosmological evolution JO - Teoretičeskaâ i matematičeskaâ fizika PY - 2024 SP - 181 EP - 198 VL - 219 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_2024_219_1_a11/ LA - ru ID - TMF_2024_219_1_a11 ER -
%0 Journal Article %A Yu. G. Ignat'ev %T Similarity of cosmological models and its application to the~analysis of cosmological evolution %J Teoretičeskaâ i matematičeskaâ fizika %D 2024 %P 181-198 %V 219 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_2024_219_1_a11/ %G ru %F TMF_2024_219_1_a11
Yu. G. Ignat'ev. Similarity of cosmological models and its application to the~analysis of cosmological evolution. Teoretičeskaâ i matematičeskaâ fizika, Tome 219 (2024) no. 1, pp. 181-198. http://geodesic.mathdoc.fr/item/TMF_2024_219_1_a11/