{"title":"Cosmological Models Based on an Asymmetric Scalar Higgs Doublet with Potential Interactions between Components","authors":"Yu. G. Ignat’ev, A. R. Samigullina","doi":"10.1134/S0202289324700439","DOIUrl":null,"url":null,"abstract":"<p>Cosmological models based on an asymmetric scalar Higgs doublet (the canonical <span>\\(\\Phi\\)</span> and phantom <span>\\(\\phi\\)</span> fields) with potential interaction between the components are proposed. A qualitative analysis of the corresponding dynamic systems is performed, and their transformation properties with respect to similarity transformations of fundamental constants are revealed. The asymptotic behavior of this class of cosmological models near cosmological singularities is investigated. Numerical simulations reveal a number of interesting features of these models, in particular, the possibility of a fairly long “waiting phase,” during which the Universe is almost Euclidean, as well as the presence of bounce points, near which there occur strong oscillations of the scalar potentials.</p>","PeriodicalId":583,"journal":{"name":"Gravitation and Cosmology","volume":"31 1","pages":"1 - 12"},"PeriodicalIF":1.2000,"publicationDate":"2025-03-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Gravitation and Cosmology","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1134/S0202289324700439","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ASTRONOMY & ASTROPHYSICS","Score":null,"Total":0}
引用次数: 0
Abstract
Cosmological models based on an asymmetric scalar Higgs doublet (the canonical \(\Phi\) and phantom \(\phi\) fields) with potential interaction between the components are proposed. A qualitative analysis of the corresponding dynamic systems is performed, and their transformation properties with respect to similarity transformations of fundamental constants are revealed. The asymptotic behavior of this class of cosmological models near cosmological singularities is investigated. Numerical simulations reveal a number of interesting features of these models, in particular, the possibility of a fairly long “waiting phase,” during which the Universe is almost Euclidean, as well as the presence of bounce points, near which there occur strong oscillations of the scalar potentials.
期刊介绍：
Gravitation and Cosmology is a peer-reviewed periodical, dealing with the full range of topics of gravitational physics and relativistic cosmology and published under the auspices of the Russian Gravitation Society and Peoples’ Friendship University of Russia. The journal publishes research papers, review articles and brief communications on the following fields: theoretical (classical and quantum) gravitation; relativistic astrophysics and cosmology, exact solutions and modern mathematical methods in gravitation and cosmology, including Lie groups, geometry and topology; unification theories including gravitation; fundamental physical constants and their possible variations; fundamental gravity experiments on Earth and in space; related topics. It also publishes selected old papers which have not lost their topicality but were previously published only in Russian and were not available to the worldwide research community
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