{"title":"General-Relativistic Corrections on the Optical Measurement of the Earth-Fixed Rotating Observer in the Schwarzschild Background","authors":"H. Ramezani-Aval","doi":"10.1134/S020228932570029X","DOIUrl":null,"url":null,"abstract":"<p>We investigate the behavior of light rays in a rotating observer’s frame in the Schwarzschild background. We derive the null geodesic equations and effective potential for photons in this space-time and then use them to investigate the radial and circular motion of light and its coordinate velocity. Then, we investigate some phenomena related to the motion of light in this space-time, including the Sagnac effect, the radar echo experiment, the gravitational redshift, and the gravitational analog of the space-time index of refraction. In all cases, for the Earth-fixed rotating observer, we calculate the corrections due to the Earth’s rotation (which appear through the rotational coordinate transformation), and the general-relativistic corrections that are obtained by assuming the Schwarzschild background.</p>","PeriodicalId":583,"journal":{"name":"Gravitation and Cosmology","volume":"31 3","pages":"415 - 421"},"PeriodicalIF":1.0000,"publicationDate":"2025-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Gravitation and Cosmology","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1134/S020228932570029X","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ASTRONOMY & ASTROPHYSICS","Score":null,"Total":0}
引用次数: 0
Abstract
We investigate the behavior of light rays in a rotating observer’s frame in the Schwarzschild background. We derive the null geodesic equations and effective potential for photons in this space-time and then use them to investigate the radial and circular motion of light and its coordinate velocity. Then, we investigate some phenomena related to the motion of light in this space-time, including the Sagnac effect, the radar echo experiment, the gravitational redshift, and the gravitational analog of the space-time index of refraction. In all cases, for the Earth-fixed rotating observer, we calculate the corrections due to the Earth’s rotation (which appear through the rotational coordinate transformation), and the general-relativistic corrections that are obtained by assuming the Schwarzschild background.
期刊介绍：
Gravitation and Cosmology is a peer-reviewed periodical, dealing with the full range of topics of gravitational physics and relativistic cosmology and published under the auspices of the Russian Gravitation Society and Peoples’ Friendship University of Russia. The journal publishes research papers, review articles and brief communications on the following fields: theoretical (classical and quantum) gravitation; relativistic astrophysics and cosmology, exact solutions and modern mathematical methods in gravitation and cosmology, including Lie groups, geometry and topology; unification theories including gravitation; fundamental physical constants and their possible variations; fundamental gravity experiments on Earth and in space; related topics. It also publishes selected old papers which have not lost their topicality but were previously published only in Russian and were not available to the worldwide research community
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