{"title":"粒子在无限平板场中的运动","authors":"R. M. Avagyan, A. A. Saharian, S. S. Jibilyan","doi":"10.1007/s10511-023-09799-7","DOIUrl":null,"url":null,"abstract":"<div><div><p>This paper studies the motion of a light signal and a test particle in the field of an infinite flat slab in terms of the general theory of relativity. The two cases of an external solution for a gravitational field in a vacuum corresponding to Rindler and Taub metrics are examined. The time of the motion and the path traveled by a particle before it stops are determined. It is shown that in the Taub geometry, as opposed to a light signal, a material particle does not reach a singularity. The minimum distance from the singularity is determined as a function of the particle energy. Results in terms of the special theory of relativity are given for comparison.</p></div></div>","PeriodicalId":479,"journal":{"name":"Astrophysics","volume":"66 3","pages":"411 - 422"},"PeriodicalIF":0.6000,"publicationDate":"2023-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Motion of a Particle in the Field of an Infinite Flat Slab\",\"authors\":\"R. M. Avagyan, A. A. Saharian, S. S. Jibilyan\",\"doi\":\"10.1007/s10511-023-09799-7\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div><p>This paper studies the motion of a light signal and a test particle in the field of an infinite flat slab in terms of the general theory of relativity. The two cases of an external solution for a gravitational field in a vacuum corresponding to Rindler and Taub metrics are examined. The time of the motion and the path traveled by a particle before it stops are determined. It is shown that in the Taub geometry, as opposed to a light signal, a material particle does not reach a singularity. The minimum distance from the singularity is determined as a function of the particle energy. Results in terms of the special theory of relativity are given for comparison.</p></div></div>\",\"PeriodicalId\":479,\"journal\":{\"name\":\"Astrophysics\",\"volume\":\"66 3\",\"pages\":\"411 - 422\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2023-09-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Astrophysics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s10511-023-09799-7\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"ASTRONOMY & ASTROPHYSICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Astrophysics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s10511-023-09799-7","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"ASTRONOMY & ASTROPHYSICS","Score":null,"Total":0}
Motion of a Particle in the Field of an Infinite Flat Slab
This paper studies the motion of a light signal and a test particle in the field of an infinite flat slab in terms of the general theory of relativity. The two cases of an external solution for a gravitational field in a vacuum corresponding to Rindler and Taub metrics are examined. The time of the motion and the path traveled by a particle before it stops are determined. It is shown that in the Taub geometry, as opposed to a light signal, a material particle does not reach a singularity. The minimum distance from the singularity is determined as a function of the particle energy. Results in terms of the special theory of relativity are given for comparison.
期刊介绍:
Astrophysics (Ap) is a peer-reviewed scientific journal which publishes research in theoretical and observational astrophysics. Founded by V.A.Ambartsumian in 1965 Astrophysics is one of the international astronomy journals. The journal covers space astrophysics, stellar and galactic evolution, solar physics, stellar and planetary atmospheres, interstellar matter. Additional subjects include chemical composition and internal structure of stars, quasars and pulsars, developments in modern cosmology and radiative transfer.