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“Spherical” Coordinates in Special Relativity

 

作者: Cecil B. Mast,  

 

期刊: American Journal of Physics  (AIP Available online 1965)
卷期: Volume 33, issue 4  

页码: 281-284

 

ISSN:0002-9505

 

年代: 1965

 

DOI:10.1119/1.1971471

 

出版商: American Association of Physics Teachers

 

数据来源: AIP

 

摘要:

In the limit at which geometric optics is valid, a light signal may be represented (in special relativity) by a (straight) null line. If we consider an eventP, then the past null cone drawn fromPrepresents all events visible to any observer atP. The configuration of events perceived by any one observer may be obtained by projecting this cone onto the 3-flat orthogonal to the observer's 4-velocity in a suitable fashion. In this paper a projection technique is described and leads naturally to a system of spherical coordinates for each observer. The transformation of coordinates for two observers is obtained and some applications are discussed.

 

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