{"title":"论从最小作用原理、相对论米尔恩-麦克雷亚解法和拉格朗日点推导引力方程","authors":"V. V. Vedenyapin, A. A. Bay, A. G. Petrov","doi":"10.1134/S1064562423701417","DOIUrl":null,"url":null,"abstract":"<p>Equations of gravitation in the form of Vlasov–Poisson relativistic equations with Lambda term are derived from the classical principle of least action. Hamilton–Jacobi consequences are used to obtain cosmological solutions. The properties of Lagrange points are investigated.</p>","PeriodicalId":531,"journal":{"name":"Doklady Mathematics","volume":"108 3","pages":"481 - 485"},"PeriodicalIF":0.5000,"publicationDate":"2024-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On Derivation of Equations of Gravitation from the Principle of Least Action, Relativistic Milne–McCrea Solutions, and Lagrange Points\",\"authors\":\"V. V. Vedenyapin, A. A. Bay, A. G. Petrov\",\"doi\":\"10.1134/S1064562423701417\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>Equations of gravitation in the form of Vlasov–Poisson relativistic equations with Lambda term are derived from the classical principle of least action. Hamilton–Jacobi consequences are used to obtain cosmological solutions. The properties of Lagrange points are investigated.</p>\",\"PeriodicalId\":531,\"journal\":{\"name\":\"Doklady Mathematics\",\"volume\":\"108 3\",\"pages\":\"481 - 485\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2024-03-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Doklady Mathematics\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://link.springer.com/article/10.1134/S1064562423701417\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Doklady Mathematics","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1134/S1064562423701417","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
On Derivation of Equations of Gravitation from the Principle of Least Action, Relativistic Milne–McCrea Solutions, and Lagrange Points
Equations of gravitation in the form of Vlasov–Poisson relativistic equations with Lambda term are derived from the classical principle of least action. Hamilton–Jacobi consequences are used to obtain cosmological solutions. The properties of Lagrange points are investigated.
期刊介绍：
Doklady Mathematics is a journal of the Presidium of the Russian Academy of Sciences. It contains English translations of papers published in Doklady Akademii Nauk (Proceedings of the Russian Academy of Sciences), which was founded in 1933 and is published 36 times a year. Doklady Mathematics includes the materials from the following areas: mathematics, mathematical physics, computer science, control theory, and computers. It publishes brief scientific reports on previously unpublished significant new research in mathematics and its applications. The main contributors to the journal are Members of the RAS, Corresponding Members of the RAS, and scientists from the former Soviet Union and other foreign countries. Among the contributors are the outstanding Russian mathematicians.
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