The optical–mechanical analogy in general relativity: New methods for the paths of light and of the planets
作者:
James Evans,
Kamal K. Nandi,
Anwarul Islam,
期刊:
American Journal of Physics
(AIP Available online 1996)
卷期:
Volume 64,
issue 11
页码: 1404-1415
ISSN:0002-9505
年代: 1996
DOI:10.1119/1.18366
出版商: American Association of Physics Teachers
关键词: GENERAL RELATIVITY THEORY;VARIATIONAL METHODS;SCHWARZSCHILD METRIC;GRAVITATIONAL FIELDS;REFRACTIVE INDEX;PLANETS;04.;42.;03.20
数据来源: AIP
摘要:
The optical–mechanical analogy involves the expression of geometrical optics and particle mechanics in the same mathematical language. In this paper, an especially simple version of the optical–mechanical analogy is extended to general relativity. A variational principle for the trajectories of photons and particles is obtained which is applicable to a broad class of metrics. This permits us to cast the exact equations of motion for both massive and massless particles into the form of Newtonian mechanics. The new equations of motion are illustrated by applications to the Schwarzschild metric.
点击下载:
PDF
(1161KB)
返 回