A general-relativistic fermat principle for extended light sources and extended receivers

General Relativity and Gravitation

Volumn 30, Issue 10, 1998, Pages 1461-1476

  Perlick, Volker ^a   Piccione, Paolo ^b  

^a TECHNISCHE UNIVERSITÄT BERLIN   (Germany)

^b NONE

Author keywords

Light rays; Morse theory; Variational principle

Indexed keywords

EID: 0032219283     PISSN: 00017701     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1018861024445     Document Type: Article

References (17)

1. 1. Beem, J. K., Ehrlich, P. E., and Easley, K. L. (1996). Global Lorentzian Geometry (Marcel Dekker, New York and Basel)
2. 2. Bel, L., and Martín. J. (1994). Gen. Rel. Grav. 26, 567.
3. 3. Ehrlich, P. E., and Kim, S. B. (1989). In Geometry and Topology, G. Rassias and G. Stratopoulos, eds. (World Scientific, Singapore), p. 105.
4. 4. Ehrlich, P. E., and Kim, S. B. (1989). J. Geom. Phys. 6, 657.
5. 5. Giannoni, F., Masiello, A., and Piccione, P. (1997). Commun. Math. Phys. 187, 375.
6. 6. Giannoni, F., Masiello, A., and Piccione, P. (1998). "A Morse Theory for Light Rays in Stably Causal Lorentzian Manifolds," to appear in Ann. Inst. H. Poincaré, Physique Théorique.
7. 7. Hawking, S. W., and Ellis, G. F. R. (1973). The Large Scale Structure of Space-Time (Cambridge University Press, Cambridge).
8. 8. Kalish, D. (1988). Trans. Amer. Math. Soc. 308, 341.
9. 9. Kalish, D. (1993) Proc. Symposia in Pure Mathematics 54, 431.
10. 10. Kovner, I. (1990) Astrophys. J. 351, 114.
11. 11. Masiello, A., Piccione, P. (1998). Diff. Geom. Appl. 8, 47.
12. 12. O'Neill, B. (1983). Semi-Riemannian Geometry (Academic Press, New York).
13. 13. Perlick, V. (1990). Class. Quantum Grav. 7, 1319.
14. 14. Perlick, V. (1990). Class. Quantum Gray., 7, 1849.
15. 15. Perlick, V. (1995). J. Math. Phys. 36, 6915.
16. 16. Sachs. R., and Wu, H. (1977). General Relativity for Mathematicians (Springer, New York).
17. 17. Schneider, P., Ehlers, J., and Falco, E. (1992). Gravitational Lenses (Springer, New York).