An intrinsic Fermat principle on stationary Lorentzian manifolds and applications

✍ Scribed by Erasmo Caponio

• Publisher: Elsevier Science
• Year: 2002
• Tongue: English
• Weight: 175 KB
• Volume: 16
• Category: Article
• ISSN: 0926-2245
• DOI: 10.1016/s0926-2245(02)00069-4

✦ Synopsis

In this paper a Fermat principle for Lorentzian manifold endowed with a timelike Killing vector field is formulated. This principle is applied to obtain existence and multiplicity results on the number of light rays joining an event with an integral curve of the Killing vector field.