A Fermat Principle on Lorentzian manifolds and applications

被引：18

作者：

Antonacci, F

Piccione, P

机构：

[1] Fac. Ingegneria, Dip. di Energetica, Universitá dell'Aquila, 67040 Roio Poggio (AQ), Localitá Monteluco

来源：

APPLIED MATHEMATICS LETTERS | 1996年 / 9卷 / 02期

关键词：

Fermat's Principle; general relativity; light rays;

D O I：

10.1016/0893-9659(96)00019-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a version of the Fermat Principle to Lorentzian manifolds endowed with a time function. The principle is used to obtain some results concerning the existence and multiplicity of light rays, generalizing part of the work in [1-3]. At this time, the results are announced and discussed, while the details of their proofs are left to a forthcoming paper [4].

引用

页码：91 / 95

页数：5

共 10 条

[1]

ANTONACCI F, 1995, EXISTENCE MULTIPLICI

[2]

Berger M.S., 1977, NONLINEARITY FUNCTIO, V74

[3]

FORTUNATO D, 1995, FERMAT PRINCIPLES GE

[4]

FORTUNATO D, 1994, J GEOM PHYS, V515, P1