Fermat principle in Finsler spacetimes

General Relativity and Gravitation

Volumn 38, Issue 2, 2006, Pages 365-380

  Perlick, Volker ^a  

^a TECHNISCHE UNIVERSITÄT BERLIN   (Germany)

Author keywords

Geodesics; Variational principle

Indexed keywords

EID: 32544458619     PISSN: 00017701     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10714-005-0225-6     Document Type: Article

References (26)

1. Landau, L., Lifshitz, E.: The Classical Theory of Fields. Pergamon, Oxford (1962)
2. Kline, M., Kay, I.W.: Electromagnetic Theory and Geometrical Optics. Interscience, New York (1965)
3. Kovner, I.: Astrophys. J. 351, 114 (1990)
4. Perlick, V.: Class. Quantum Grav. 7, 1319 (1990)
5. Schneider, P., Ehlers, J., Falco, E.: Gravitational Lenses. Springer, Heidelberg (1992)
6. Perlick, V.: Ray Optics, Fermat's Principle, and Applications to General Relativity. Springer, Heidelberg (2000)
7. Perlick, V.: Gravitational lensing from a spacetime perspective, Living Rev. Relativity 7, 9 (2004) [Online Article]; cited August 2005 http://www.livingreviews.org/ lrr-2004-9
8. Gordon, W.: Annalen der Physik 72, 421 (1923)
9. Asanov, G.S.: Finsler Geometry, Relativity and Gauge Theories. Reidel, Dordrecht (1985)
10. Newcomb, W.A.: Amer. J. Phys. 51, 338 (1983)
11. Glinskiǐ, G.F.: Radiophysics and Quantum Electronics 23, 70 (1980)
12. Babich, V.M.: In: Petrashev, G.I. (ed.) Problems of the Dynamic Theory of Propagation of Seismic Waves. Vol. V. p. 36. Publishing House of Leningrad University, Leningrad, (in Russian) (1961);
13. English Translation in Geophys. J. Int. 118 (1994), 379
14. Epstein, M., Sniatycki, J.: J. Elasticity 27, 45 (1992)
15. Červený, V.: Stud. Geophys. Geod. 46, 567 (2002)
16. Uginčius, P.: J. Acoust. Soc. Amer. 51, 1759 (1972)
17. Godin, O.A., Voronovich, A.G.: Proc. Roy. Soc. London, Ser. A 460, 1631 (2004)
18. Voronovich, A.G., Godin, O.A.: Phys. Rev. Lett. 91, 044302 (2003)
19. Rund, H.: The Differential Geometry of Finsler Spaces. Springer, Berlin (1959)
20. Beem, J.: Canad. J. Math. 22, 1035 (1970)
21. Perlick, V.: J. Math. Phys. 36, 6915 (1995)
22. Giannoni, F., Masiello, A., Piccione, P.: Ann. Inst. H. Poincaré. Physique Theorique 69, 359 (1998)
23. Crampin, M.: Houston J. Math. 26, 255 (2000)
24. Crampin, M.: Houston J. Math. 27, 807 (2001)
25. Morse, M.: Variational Analysis. Wiley, New York (1973)
26. Perlick, V.: Nonlinear Analysis 47, 3019 (2001)