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General relativity done another way?

  1. Sep 7, 2009 #1
    In classical mechanics one can give space a metric whose geodesics are the paths of a particle in a given potential.

    I wonder if this technique can be applied for gravitational potentials. The hard part would be defining the geometry in a relativistic setting (special) where measurement of elapsed time is coordinate frame dependent.

    Still who knows. It might be possible to derive an alternative theory to general relativity along these lines.

    Does anyone know of research on this?
     
  2. jcsd
  3. Sep 8, 2009 #2
  4. Sep 8, 2009 #3
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