{"title":"\\(\\boldsymbol{f(R，\\square R)}\\)重力下手性自引力模型的球对称解","authors":"S. V. Chervon, I. V. Fomin, A. A. Chaadaev","doi":"10.1134/S0202289322030033","DOIUrl":null,"url":null,"abstract":"<p>We construct a chiral self-gravitating model corresponding to modified <span>\\(f(R,\\square R)\\)</span> gravity following by application of the Lagrange multipliers method and a conformal transformation to obtain the model in the Einstein frame. Killing symmetries of the target space are found. Using a special case of a scaling transformation, we find examples of exact solutions with zero and constant potentials. A linear dependence between the fields leads to new solutions for the model.</p>","PeriodicalId":583,"journal":{"name":"Gravitation and Cosmology","volume":"28 3","pages":"296 - 304"},"PeriodicalIF":1.2000,"publicationDate":"2022-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Spherically Symmetric Solutions of a Chiral Self-Gravitating Model in \\\\(\\\\boldsymbol{f(R,\\\\square R)}\\\\) Gravity\",\"authors\":\"S. V. Chervon, I. V. Fomin, A. A. Chaadaev\",\"doi\":\"10.1134/S0202289322030033\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>We construct a chiral self-gravitating model corresponding to modified <span>\\\\(f(R,\\\\square R)\\\\)</span> gravity following by application of the Lagrange multipliers method and a conformal transformation to obtain the model in the Einstein frame. Killing symmetries of the target space are found. Using a special case of a scaling transformation, we find examples of exact solutions with zero and constant potentials. A linear dependence between the fields leads to new solutions for the model.</p>\",\"PeriodicalId\":583,\"journal\":{\"name\":\"Gravitation and Cosmology\",\"volume\":\"28 3\",\"pages\":\"296 - 304\"},\"PeriodicalIF\":1.2000,\"publicationDate\":\"2022-09-06\",\"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/S0202289322030033\",\"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/S0202289322030033","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}
Spherically Symmetric Solutions of a Chiral Self-Gravitating Model in \(\boldsymbol{f(R,\square R)}\) Gravity
We construct a chiral self-gravitating model corresponding to modified \(f(R,\square R)\) gravity following by application of the Lagrange multipliers method and a conformal transformation to obtain the model in the Einstein frame. Killing symmetries of the target space are found. Using a special case of a scaling transformation, we find examples of exact solutions with zero and constant potentials. A linear dependence between the fields leads to new solutions for the model.
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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