Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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


    User Avatar
    Science Advisor

    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.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook