{"title":"作为标量张量引力解的任意静态球对称时空","authors":"K. A. Bronnikov, Kodir Badalov, Rustam Ibadov","doi":"10.1134/S0202289323010036","DOIUrl":null,"url":null,"abstract":"<p>It is shown that an arbitrary static, spherically symmetric metric can be presented as an exact solution of a scalar-tensor theory (STT) of gravity with certain nonminimal coupling function <span>\\(f(\\phi)\\)</span> and potential <span>\\(U(\\phi)\\)</span>. The scalar field in this representation can change its nature from canonical to phantom on certain coordinate spheres. This representation, however, is valid in general not in the full range of the radial coordinate but only piecewise. Two examples of STT representations are discussed: for the Reissner–Nordström metric and for the Simpson–Visser regularization of the Schwarzschild metric (the so-called black bounce space-time).</p>","PeriodicalId":583,"journal":{"name":"Gravitation and Cosmology","volume":"29 1","pages":"43 - 49"},"PeriodicalIF":1.2000,"publicationDate":"2023-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"Arbitrary Static, Spherically Symmetric Space-Times as Solutions of Scalar-Tensor Gravity\",\"authors\":\"K. A. Bronnikov, Kodir Badalov, Rustam Ibadov\",\"doi\":\"10.1134/S0202289323010036\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>It is shown that an arbitrary static, spherically symmetric metric can be presented as an exact solution of a scalar-tensor theory (STT) of gravity with certain nonminimal coupling function <span>\\\\(f(\\\\phi)\\\\)</span> and potential <span>\\\\(U(\\\\phi)\\\\)</span>. The scalar field in this representation can change its nature from canonical to phantom on certain coordinate spheres. This representation, however, is valid in general not in the full range of the radial coordinate but only piecewise. Two examples of STT representations are discussed: for the Reissner–Nordström metric and for the Simpson–Visser regularization of the Schwarzschild metric (the so-called black bounce space-time).</p>\",\"PeriodicalId\":583,\"journal\":{\"name\":\"Gravitation and Cosmology\",\"volume\":\"29 1\",\"pages\":\"43 - 49\"},\"PeriodicalIF\":1.2000,\"publicationDate\":\"2023-04-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Gravitation and Cosmology\",\"FirstCategoryId\":\"4\",\"ListUrlMain\":\"https://link.springer.com/article/10.1134/S0202289323010036\",\"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/S0202289323010036","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}
Arbitrary Static, Spherically Symmetric Space-Times as Solutions of Scalar-Tensor Gravity
It is shown that an arbitrary static, spherically symmetric metric can be presented as an exact solution of a scalar-tensor theory (STT) of gravity with certain nonminimal coupling function \(f(\phi)\) and potential \(U(\phi)\). The scalar field in this representation can change its nature from canonical to phantom on certain coordinate spheres. This representation, however, is valid in general not in the full range of the radial coordinate but only piecewise. Two examples of STT representations are discussed: for the Reissner–Nordström metric and for the Simpson–Visser regularization of the Schwarzschild metric (the so-called black bounce space-time).
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