A Fermat principle on Lorentzian manifolds and applications

Applied Mathematics Letters

Volumn 9, Issue 2, 1996, Pages 91-95

  Antonacci, F ^a   Piccione, P ^a  

^a UNIVERSITY OF L'AQUILA   (Italy)

Author keywords

Fermat's principle; General relativity; Light rays

Indexed keywords

EID: 0002648703     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/0893-9659(96)00019-5     Document Type: Article

References (10)

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3. F. Giannoni and A. Masiello, On a Fermat principle in General Relativity. A Ljusternik-Schninerlman theory for light rays (preprint) (1995).
4. F. Antonacci and P. Piccione, Existence and multiplicity of light rays in Lorentzian manifolds with a time function (preprint) (1995).
5. V. Perlick, On Fermat's principle in General Relativity: I. The conformally stationary case, Class. Quantum Grav. 7, 1319-1331 (1990).
6. V. Perlick, On Fermat's principle in General Relativity: II. The general case, Class. Quantum Grav. 7, 1849-1867 (1990).
7. K. Uhlembeck, A Morse theory for geodesics on a Lorentz manifold, Topology 14, 69-90 (1975).
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9. M.S. Berger, Nonlinearity and Functional Analysis, Vol. 74, Academic Press, New York, (1977).
10. B. O'Neal, Semi-Riemannian Geometry with Applications to Relativity, Academic Press, New York, (1983).