On Euclidean limit cycles in cosmological models based on scalar fields
General Relativity and Quantum Cosmology
2019-09-04 v1
Abstract
A detailed analysis of the phase trajectories of cosmological models based on classical and scalar fields near surfaces of zero effective energy has been carried out. A study of the differential parameters of the convergence of phase trajectories to a zero-energy surface boundary shows that the phase trajectories merge within a finite time with the phase trajectories of free oscillations 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 Euclidean limit cycles in cosmological models based on scalar fields with a Higgs interaction potential.
Keywords
Cite
@article{arxiv.1907.02556,
title = {On Euclidean limit cycles in cosmological models based on scalar fields},
author = {Yu. G. Ignat'ev and A. R Samigullina},
journal= {arXiv preprint arXiv:1907.02556},
year = {2019}
}
Comments
8 pages, 11 figures, 10 references