ON FERMATS PRINCIPLE IN GENERAL-RELATIVITY .1. THE GENERAL-CASE

被引：86

作者：

PERLICK, V ^{[1
]}

机构：

[1] UNIV TEXAS,RICHARDSON,TX 75083

来源：

CLASSICAL AND QUANTUM GRAVITY | 1990年 / 7卷 / 08期

关键词：

D O I：

10.1088/0264-9381/7/8/011

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The following version of Fermat's principle is proven to hold on an arbitrary Lorentzian manifold (i.e., without any kind of symmetry or causality condition being required): Among all lightlike curves connecting some event with some timelike curve, the geodesics are characterised by stationary arrival time. The arrival time is minimal if the geodesic is free of conjugate points, whereas it is a saddle point if there is a conjugate point in the interior.

引用

页码：1319 / 1331

页数：13

共 11 条

[1]

BEEM J, 1981, GLOBAL LORENTZIAN GE

[2] FERMAT PRINCIPLE, CAUSTICS, AND THE CLASSIFICATION OF GRAVITATIONAL LENS IMAGES [J].