A FERMAT PRINCIPLE FOR STATIONARY SPACE-TIMES AND APPLICATIONS TO LIGHT RAYS

被引：39
作者：
FORTUNATO, D
GIANNONI, F
MASIELLO, A
机构：
[1] UNIV PISA,IST MATEMAT APPL,PISA,ITALY
[2] POLITECN BARI,DIPARTIMENTO MATEMAT,BARI,ITALY
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 1995年 / 15卷 / 02期
关键词：
FERMAT PRINCIPLE; LIGHT RAYS; GENERAL RELATIVITY;
D O I：
10.1016/0393-0440(94)00011-R
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present an extension of the classical Fermat principle in optics to stationary space-times. This principle is applied to study the light rays joining an event with a timelike curve. Existence and multiplicity results of light rays are proved. Moreover, Morse Relations relating the set of rays to the topology of the space-time are obtained, by using the number of conjugate points of the ray. The results hold also for stationary space-times with boundary, in particular the Kerr space-time outside the stationary limit surface.
引用
收藏
页码：159 / 188
页数：30
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