Endless geodesics in closed spacetime

  • #1
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Main Question or Discussion Point

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?
 

Answers and Replies

  • #2
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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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