Valeria Luisi
Abstract:
Let
be a Lorentzian
manifold equipped with the static metric
.
The aim of this paper is investigating the existence of lightlike
geodesics joining a point
to a line
when coefficient
has a quadratic asymptotic behavior by means of a variational
approach.
Submitted November 28, 2005. Published September 21, 2006.
Math Subject Classifications: 53C50, 58E05, 58E10.
Key Words: Static spacetime; light ray;
quadratic asymptotic behavior; Fermat principle;
Ljusternik-Schnirelman category.
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Valeria Luisi Dipartimento di Matematica Università degli Studi di Bari Via E. Orabona 4, 70125 Bari, Italy email: vluisi@dm.uniba.it |
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