Kazan (Volga region) Federal University, KFU
KAZAN
FEDERAL UNIVERSITY
 
ON EUCLIDEAN LIMIT CYCLES IN COSMOLOGICAL MODELS BASED ON SCALAR FIELDS
Form of presentationArticles in international journals and collections
Year of publication2019
Языканглийский
  • Ignatev Yuriy Gennadievich, author
  • Samigullina Alsu Rinatovna, author
  • Bibliographic description in the original language Yu.G. Ignat'ev, A.R Samigullina. On Euclidean limit cycles in cosmological models based on scalar fields // arXiv:1907.02556 [gr-qc]
    Annotation 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 cosmological model, asymmetric scalar doublet, Euclidean limit cycles
    The name of the journal arXiv: General Relativity and Quantum Cosmology
    URL https://arxiv.org/pdf/1907.02556.pdf
    Please use this ID to quote from or refer to the card https://repository.kpfu.ru/eng/?p_id=205326&p_lang=2

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