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Endless geodesics in closed spacetime

  1. Sep 25, 2003 #1
    Can you show that a closed spacetime may embody one (or even an infinity of) geodesics with infinite length? How does this influence local curvature?
  2. jcsd
  3. Sep 28, 2003 #2
    That is, can a closed universe contain a geodesic infinite in length?

    (I assume that the mass-energy curvature of a closed universe would eventually lead any interior photon to a singularity.)
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