{"title":"Timelike and Null Geodesics in the Schwarzschild Space-time: Analytical Solutions","authors":"Adam Cie'slik, P. Mach","doi":"10.5506/APhysPolBSupp.16.6-A10","DOIUrl":null,"url":null,"abstract":"The theory of Schwarzschild geodesics is revisited. Using a theorem due to Weierstrass and Biermann, we derive concise formulas describing all timelike and null trajectories in terms of Weierstrass elliptic functions. The formulation given in this note uses an analogue of the so-called Mino time.","PeriodicalId":39158,"journal":{"name":"Acta Physica Polonica B, Proceedings Supplement","volume":"13 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Physica Polonica B, Proceedings Supplement","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5506/APhysPolBSupp.16.6-A10","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Physics and Astronomy","Score":null,"Total":0}
引用次数: 1
Abstract
The theory of Schwarzschild geodesics is revisited. Using a theorem due to Weierstrass and Biermann, we derive concise formulas describing all timelike and null trajectories in terms of Weierstrass elliptic functions. The formulation given in this note uses an analogue of the so-called Mino time.
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