The physical gravitational degrees of freedom

@article{Anderson2005ThePG,
  title={The physical gravitational degrees of freedom},
  author={E. Anderson and J. Barbour and B. Foster and B. Kelleher and N. Murchadha},
  journal={Classical and Quantum Gravity},
  year={2005},
  volume={22},
  pages={1795-1802}
}
When constructing general relativity (GR), Einstein required 4D general covariance. In contrast, we derive GR (in the compact, without boundary case) as a theory of evolving three-dimensional conformal Riemannian geometries obtained by imposing two general principles: (1) time is derived from change; (2) motion and size are relative. We write down an explicit action based on them. We obtain not only GR in the CMC gauge, in its Hamiltonian 3 + 1 reformulation, but also all the equations used in… Expand
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