Null Geodesics in Five-Dimensional Manifolds

@article{Seahra2001NullGI,
  title={Null Geodesics in Five-Dimensional Manifolds},
  author={Sanjeev S Seahra and Paul S. Wesson},
  journal={General Relativity and Gravitation},
  year={2001},
  volume={33},
  pages={1731-1752}
}
We analyze a class of 5D non-compact warped-product spaces characterized by metrics that depend on the extra coordinate via a conformal factor. Our model is closely related to the so-called canonical coordinate gauge of Mashhoon et al. We confirm that if the 5D manifold in our model is Ricci-flat, then there is an induced cosmological constant in the 4D sub-manifold. We derive the general form of the 5D Killing vectors and relate them to the 4D Killing vectors of the embedded spacetime. We then… 

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