{"title":"Static Weyssenhoff Fluid Sphere Models in Einstein–Cartan Theory of Gravitation","authors":"L. N. Katkar, D. R. Phadatare","doi":"10.1134/S020228932301005X","DOIUrl":null,"url":null,"abstract":"<p>Three physically reasonable static Weyssenhoff fluid sphere models have been obtained by solving the relevant field equations of the Einstein–Cartan theory of gravitation, when Weyssenhoff fluid is the source of spin and gravitation. The spin of the gravitating matter influences the fields of these fluid sphere models. The gravitational field of two of the models is proved to be of Petrov type <span>\\(D\\)</span>, while the interpretation of the gravitational field of the remaining model fails due to the influence of the spin component <span>\\(s_{0}\\)</span>. One of the fluid sphere models is accelerating and rotating, while the other two are only rotating. Gravity in each of these models repels and prevents the collapse.</p>","PeriodicalId":583,"journal":{"name":"Gravitation and Cosmology","volume":"29 1","pages":"10 - 18"},"PeriodicalIF":1.2000,"publicationDate":"2023-04-04","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/S020228932301005X","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: 1
Abstract
Three physically reasonable static Weyssenhoff fluid sphere models have been obtained by solving the relevant field equations of the Einstein–Cartan theory of gravitation, when Weyssenhoff fluid is the source of spin and gravitation. The spin of the gravitating matter influences the fields of these fluid sphere models. The gravitational field of two of the models is proved to be of Petrov type \(D\), while the interpretation of the gravitational field of the remaining model fails due to the influence of the spin component \(s_{0}\). One of the fluid sphere models is accelerating and rotating, while the other two are only rotating. Gravity in each of these models repels and prevents the collapse.
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