{"title":"General Relativistic Equation of Motion for a Photon Moving Round a Time Varying Spherical Distribution of Mass","authors":"W. Lumbi, I. I. Ewa","doi":"10.3968/3731","DOIUrl":null,"url":null,"abstract":"Abstract In this article, Schwarzschild metric is extended to obtain a generalized metric for the gravitational field exterior to time varying spherical distributions of mass. Einstein’s equation for photon moving round a time varying spherical distribution of mass is derived. The second-order differential equation obtained is a modification of the equation of motion in Schwarzschild field. It introduces a unique dependence of the motion of the photon in this field on Newton’s scalar potential exterior to time varying spherical bodies.","PeriodicalId":7348,"journal":{"name":"Advances in Natural Science","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2013-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advances in Natural Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3968/3731","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
Abstract
Abstract In this article, Schwarzschild metric is extended to obtain a generalized metric for the gravitational field exterior to time varying spherical distributions of mass. Einstein’s equation for photon moving round a time varying spherical distribution of mass is derived. The second-order differential equation obtained is a modification of the equation of motion in Schwarzschild field. It introduces a unique dependence of the motion of the photon in this field on Newton’s scalar potential exterior to time varying spherical bodies.
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