Lightlike periodic trajectories in space-times
type: Item
instance of: scholarly article
title: Lightlike periodic trajectories in space-times
zbMATH Open document ID: 0869.53038
DOI: 10.1007/BF01759385
published in: Annali di Matematica Pura ed Applicata. Serie Quarta
publication date: 1997-09-02T00:00:00Z
review text: In this paper the author studies existence and multiplicity of lightlike trajectories (light rays with closed spatial component) on a class of conformally stationary Lorentzian manifolds. The spatial component of the manifold is not necessarily a compact manifold. Moreover, the case of manifolds with boundary is considered. The proof is obtained applying Lyusternik-Schnirelmann theory to a functional whose critical points are related to the lightlike trajectories of the manifold. Such a functional is obtained by means of an extension to general relativity of the classical Fermat variational principle of geometrical optics.
reviewed by: Antonio Masiello
Mathematics Subject Classification ID: 53C50
Mathematics Subject Classification ID: 83C10
zbMATH DE Number: 1000246
zbMATH Keywords: conformally stationary manifolds
zbMATH Keywords: Fermat principle
zbMATH Keywords: lightlike trajectories
author: Anna Maria Candela
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1000246