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.
An intrinsic Fermat principle on stationary Lorentzian manifolds and applications / Caponio, Erasmo. - In: DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS. - ISSN 0926-2245. - STAMPA. - 16:3(2002), pp. 245-265. [10.1016/S0926-2245(02)00069-4]
An intrinsic Fermat principle on stationary Lorentzian manifolds and applications
Caponio, Erasmo
2002-01-01
Abstract
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.File in questo prodotto:
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