{"title":"曲率和共形曲率动力学形式及其在线性化重力中的应用","authors":"Adam Chudecki and Maciej Przanowski","doi":"10.1088/1361-6382/adedf3","DOIUrl":null,"url":null,"abstract":"Tensorial, spinorial and helicity formalisms of the curvature and conformal curvature dynamics are developed. Equations of linearized gravity within that formalisms are given. Gravitational radiation in linearized gravity in terms of curvature dynamics is investigated. Equivalence of the Białynicki-Birula formula for the gravitational energy in linearized gravity and the Landau–Lifschitz formula is proved. Analogous result is found for the momentum in linearized gravity.","PeriodicalId":10282,"journal":{"name":"Classical and Quantum Gravity","volume":"53 1","pages":""},"PeriodicalIF":3.7000,"publicationDate":"2025-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Curvature and conformal curvature dynamics formalisms and their applications in linearized gravity\",\"authors\":\"Adam Chudecki and Maciej Przanowski\",\"doi\":\"10.1088/1361-6382/adedf3\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Tensorial, spinorial and helicity formalisms of the curvature and conformal curvature dynamics are developed. Equations of linearized gravity within that formalisms are given. Gravitational radiation in linearized gravity in terms of curvature dynamics is investigated. Equivalence of the Białynicki-Birula formula for the gravitational energy in linearized gravity and the Landau–Lifschitz formula is proved. Analogous result is found for the momentum in linearized gravity.\",\"PeriodicalId\":10282,\"journal\":{\"name\":\"Classical and Quantum Gravity\",\"volume\":\"53 1\",\"pages\":\"\"},\"PeriodicalIF\":3.7000,\"publicationDate\":\"2025-07-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Classical and Quantum Gravity\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1088/1361-6382/adedf3\",\"RegionNum\":3,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"ASTRONOMY & ASTROPHYSICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Classical and Quantum Gravity","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1088/1361-6382/adedf3","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ASTRONOMY & ASTROPHYSICS","Score":null,"Total":0}
Curvature and conformal curvature dynamics formalisms and their applications in linearized gravity
Tensorial, spinorial and helicity formalisms of the curvature and conformal curvature dynamics are developed. Equations of linearized gravity within that formalisms are given. Gravitational radiation in linearized gravity in terms of curvature dynamics is investigated. Equivalence of the Białynicki-Birula formula for the gravitational energy in linearized gravity and the Landau–Lifschitz formula is proved. Analogous result is found for the momentum in linearized gravity.
期刊介绍:
Classical and Quantum Gravity is an established journal for physicists, mathematicians and cosmologists in the fields of gravitation and the theory of spacetime. The journal is now the acknowledged world leader in classical relativity and all areas of quantum gravity.