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VOL. 9 | 2008 A Null Geodesic Orbit Space Whose Null Orbits Require a Reparametrization

Abstract

We exhibit an example of a homogeneous Lorentzian manifold $G/H$ whose homogeneous geodesics form just the light-cone and a hyperplane in the tangent space. For all light-like homogeneous geodesics, the natural parameter of the orbit is not the affine parameter of the geodesic.

Information

Published: 1 January 2008
First available in Project Euclid: 13 July 2015

zbMATH: 1192.53065
MathSciNet: MR2436269

Digital Object Identifier: 10.7546/giq-9-2008-167-174

Rights: Copyright © 2008 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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