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Visualising the spacetime geodesics of general relativity

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I'm experimenting with how to visualise the geodesics in spacetime under general relativity. Please help with suggestions!

Live demo: https://timhutton.github.io/GravityIsNotAForce/

image

History: (please help fill in the gaps!)

  • 2013: A YouTube video shows how bending spacetime can make straight lines out of parabolas.
  • 2014: A YouTube video by Edward Current showed a physical 'spacetime stretcher'.
  • 2019: A paper by Magdalena Kersting references that youtube video and commends the approach to educators. A follow-up paper discusses the limitations of the model.

TO-DO list:

  • Is the 1+1 approach used (the parabolic axes in the inertial frame drawn on the right) in any way correct or rigorous?
  • Can we extend to 1+1 with a point mass on the 1D space line?
  • Can we extend to 2+1 in any useful way? Perhaps by considering a single geodesic (e.g. an elliptic orbit) as a straight line and drawing the rest of the universe as a (possibly very strange) distorted grid around that geodesic?

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