{"title":"Cosmological Solutions and Qualitative Analysis in the Generalized Scalar-Tensor Theory of Gravity with the Higgs Potential","authors":"S. V. Chervon, V. M. Zhuravlev, K. A. Bolshakova","doi":"10.1134/S0202289323030052","DOIUrl":null,"url":null,"abstract":"<p>The paper considers Higgs inflation in the Jordan and Einstein pictures. In Jordan’s picture, the dynamic equations are presented in terms of the Higgs field and a superpotential. In the approximation of small field values and in the slow-rolling mode, examples of solutions are found, and verifiability by cosmological parameters is analyzed. Dynamic equations are also obtained in the Einstein picture, and a nonsingular solution is found for a weak Higgs field, whose cosmological parameters slightly differ from the observed data. To analyze the cosmological dynamics, the set of equations in Einstein’s picture is reduced to the form of an autonomous set of equations. Singular points of the dynamical system are found, and a phase portrait near these points is presented for different values of the nonminimal interaction parameter <span>\\(\\xi\\)</span>. The case of large values of <span>\\(\\xi\\)</span> is also considered.</p>","PeriodicalId":583,"journal":{"name":"Gravitation and Cosmology","volume":"29 3","pages":"240 - 252"},"PeriodicalIF":1.2000,"publicationDate":"2023-09-04","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/S0202289323030052","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
The paper considers Higgs inflation in the Jordan and Einstein pictures. In Jordan’s picture, the dynamic equations are presented in terms of the Higgs field and a superpotential. In the approximation of small field values and in the slow-rolling mode, examples of solutions are found, and verifiability by cosmological parameters is analyzed. Dynamic equations are also obtained in the Einstein picture, and a nonsingular solution is found for a weak Higgs field, whose cosmological parameters slightly differ from the observed data. To analyze the cosmological dynamics, the set of equations in Einstein’s picture is reduced to the form of an autonomous set of equations. Singular points of the dynamical system are found, and a phase portrait near these points is presented for different values of the nonminimal interaction parameter \(\xi\). The case of large values of \(\xi\) is also considered.
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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