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

被引：38

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

页码：159 / 188

页数：30

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