{"title":"论宇宙学参数的代数依赖性","authors":"Žarko Mijajlović, Danijela Branković","doi":"10.1134/S0202289323040163","DOIUrl":null,"url":null,"abstract":"<p>We consider the inverse function of the scale factor <span>\\(a(t)\\)</span> of the Friedmann equations, discussing also the asymptotics of cosmological parameters under various assumptions on the <span>\\(\\Lambda\\)</span>CDM model. Using algebraic dependencies between the cosmological parameters and the representation of the inverse function of the scale factor <span>\\(a(t)\\)</span> as an elliptic integral with a parameter, we compute in a uniform way some special events in the universe’s evolution.</p>","PeriodicalId":583,"journal":{"name":"Gravitation and Cosmology","volume":"29 4","pages":"456 - 467"},"PeriodicalIF":1.2000,"publicationDate":"2023-11-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"On Algebraic Dependence of Cosmological Parameters\",\"authors\":\"Žarko Mijajlović, Danijela Branković\",\"doi\":\"10.1134/S0202289323040163\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>We consider the inverse function of the scale factor <span>\\\\(a(t)\\\\)</span> of the Friedmann equations, discussing also the asymptotics of cosmological parameters under various assumptions on the <span>\\\\(\\\\Lambda\\\\)</span>CDM model. Using algebraic dependencies between the cosmological parameters and the representation of the inverse function of the scale factor <span>\\\\(a(t)\\\\)</span> as an elliptic integral with a parameter, we compute in a uniform way some special events in the universe’s evolution.</p>\",\"PeriodicalId\":583,\"journal\":{\"name\":\"Gravitation and Cosmology\",\"volume\":\"29 4\",\"pages\":\"456 - 467\"},\"PeriodicalIF\":1.2000,\"publicationDate\":\"2023-11-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Gravitation and Cosmology\",\"FirstCategoryId\":\"4\",\"ListUrlMain\":\"https://link.springer.com/article/10.1134/S0202289323040163\",\"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}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Gravitation and Cosmology","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1134/S0202289323040163","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}
On Algebraic Dependence of Cosmological Parameters
We consider the inverse function of the scale factor \(a(t)\) of the Friedmann equations, discussing also the asymptotics of cosmological parameters under various assumptions on the \(\Lambda\)CDM model. Using algebraic dependencies between the cosmological parameters and the representation of the inverse function of the scale factor \(a(t)\) as an elliptic integral with a parameter, we compute in a uniform way some special events in the universe’s evolution.
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