On limit euclide cycles in cosmological models based on scalar fields
A detailed analysis of the phase trajectories of cosmological models based on classical and phantom scalar fields near surfaces of zero effective energy has been carried out. The study of the differential parameters of approaching phase trajectories with the zero-energy surface boundary shows that phase trajectories merge in a finite time with the phase trajectories of free vibrations corresponding to zero effective energy. This confirms the assumption formulated in a number of previous works by one of the Authors about the existence of limit Euclidean cycles in cosmological models based on scalar fields with the Higgs interaction potential.
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Keywords
limiting Euclidean cycles, cosmological model, asymmetric scalar doublet, предельные евклидовы циклы, асимметричный скалярный дублет, космологическая модельAuthors
| Name | Organization | |
| Ignat’ev Yu.G. | Institute of Physics, Institute of Mathematics and Mechanics, Kazan Federal University | ignatev_yu@rambler.ru |
| Samigullina A.R. | Institute of Physics, Institute of Mathematics and Mechanics, Kazan Federal University | alsu_sam@rambler.ru |
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