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arXiv · 1907.02556

On Euclidean limit cycles in cosmological models based on scalar fields

Yu. G. Ignat'ev·A. R Samigullina
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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.

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Yu. G. Ignat'ev, A. R Samigullina. 2019-07-04. On Euclidean limit cycles in cosmological models based on scalar fields. https://doi.org/10.1007/s11182-019-01755-3

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