{"title":"齐次零彼得罗夫空间的麦克斯韦方程和爱因斯坦-麦克斯韦方程","authors":"V. V. Obukhov","doi":"10.1007/s11182-025-03440-0","DOIUrl":null,"url":null,"abstract":"<div><p>Petrov homogeneous null spaces are considered. Using vector fields of the canonical reper, the vacuum Maxwell equations and the nonholonomic components of the momentum energy tensor of the electromagnetic field are derived. Examples of integration of these equations for spaces with motion groups of the first and second type according to the Bianchi classification are given.</p></div>","PeriodicalId":770,"journal":{"name":"Russian Physics Journal","volume":"68 2","pages":"358 - 361"},"PeriodicalIF":0.4000,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Maxwell and Einstein-Maxwell equations for homogeneous null Petrov spaces\",\"authors\":\"V. V. Obukhov\",\"doi\":\"10.1007/s11182-025-03440-0\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Petrov homogeneous null spaces are considered. Using vector fields of the canonical reper, the vacuum Maxwell equations and the nonholonomic components of the momentum energy tensor of the electromagnetic field are derived. Examples of integration of these equations for spaces with motion groups of the first and second type according to the Bianchi classification are given.</p></div>\",\"PeriodicalId\":770,\"journal\":{\"name\":\"Russian Physics Journal\",\"volume\":\"68 2\",\"pages\":\"358 - 361\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2025-04-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Russian Physics Journal\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s11182-025-03440-0\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Russian Physics Journal","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s11182-025-03440-0","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
Maxwell and Einstein-Maxwell equations for homogeneous null Petrov spaces
Petrov homogeneous null spaces are considered. Using vector fields of the canonical reper, the vacuum Maxwell equations and the nonholonomic components of the momentum energy tensor of the electromagnetic field are derived. Examples of integration of these equations for spaces with motion groups of the first and second type according to the Bianchi classification are given.
期刊介绍:
Russian Physics Journal covers the broad spectrum of specialized research in applied physics, with emphasis on work with practical applications in solid-state physics, optics, and magnetism. Particularly interesting results are reported in connection with: electroluminescence and crystal phospors; semiconductors; phase transformations in solids; superconductivity; properties of thin films; and magnetomechanical phenomena.