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Local Conformal Transformations:Coordinate or metric transformations?

  1. Aug 24, 2014 #1
    Hello,

    I'm wondering what the exact definition of a local conformal transformation is, in the context of General Relativity (/Shape Dynamics)

    To be more precise:
    1. Are local conformal transformations coordinate transformations or scalar transformations of the metric?
    2. If they are coordinate transformations, are they of the form [itex]\vec{x} \mapsto C(x^{\mu})\vec{x}[/itex], with [itex]C(x^{\mu})[/itex] a differentiable function?

    Good evening to you all!
     
    Last edited: Aug 24, 2014
  2. jcsd
  3. Aug 28, 2014 #2
    I'm sorry you are not finding help at the moment. Is there any additional information you can share with us?
     
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