Fermat Principle for a Nonstationary Medium

2003 ◽  
Vol 91 (4) ◽  
Author(s):  
A. G. Voronovich ◽  
O. A. Godin
Keyword(s):  
Nonstationary Medium ◽  
Fermat Principle

scholarly journals Fermat Metrics

Symmetry ◽  
2021 ◽  
Vol 13 (8) ◽  
pp. 1422
Author(s):  
Antonio Masiello
Keyword(s):  
Variational Methods ◽  
Morse Theory ◽  
Sagnac Effect ◽  
Variational Theory ◽  
Global Hyperbolicity ◽  
Fermat Principle ◽  
Multiple Image ◽  
Light Rays ◽  
Stationary Spacetimes

In this paper we present a survey of Fermat metrics and their applications to stationary spacetimes. A Fermat principle for light rays is stated in this class of spacetimes and we present a variational theory for the light rays and a description of the multiple image effect. Some results on variational methods, as Ljusternik-Schnirelmann and Morse Theory are recalled, to give a description of the variational methods used. Other applications of the Fermat metrics concern the global hyperbolicity and the geodesic connectedeness and a characterization of the Sagnac effect in a stationary spacetime. Finally some possible applications to other class of spacetimes are considered.

scholarly journals The Fermat principle in general relativity and applications

2002 ◽  
Vol 43 (1) ◽  
pp. 563-596 ◽  
Author(s):  
F. Giannoni ◽  
A. Masiello ◽  
P. Piccione
Keyword(s):  
General Relativity ◽  
Fermat Principle

On the Distortion of a Mean Field Pulse in a Nonstationary Medium

1999 ◽  
Vol 59 (1) ◽  
pp. 14-18
Author(s):  
G V Jandieri ◽  
Zh M Diasamidze ◽  
I N Jabnidze ◽  
V G Jandieri
Keyword(s):  
Mean Field ◽  
Field Pulse ◽  
Nonstationary Medium

scholarly journals Fermat principle in Finsler spacetimes

2006 ◽  
Vol 38 (2) ◽  
pp. 365-380 ◽  
Author(s):  
Volker Perlick
Keyword(s):  
Fermat Principle
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