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Wheeler-Dewitt equation and canonical quantum gravity

  1. Nov 24, 2005 #1
    In the canonical quantum gravity, Hamiltonian equal zero, why? Since the split is space, the time is a constant? or the space-time is Ricci-flat?

    In other words, if the space-time is Ricci-flat whether time supersurface, Hamiltonian equal zero?
  2. jcsd
  3. Nov 25, 2005 #2


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    The hamiltonian is equal to zero in any system which is invariant under reparametrizations. This is always the case for the gravitational field in general relativity. Another example is a relativistic point particle in geodesic motion.
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