Eddington's pure-connection gravity has a canonical action identical in form to the ADM Hamiltonian of General Relativity, confirming their equivalence in the Hamiltonian formalism.
The Mathematical Theory of Relativity
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Canonical Analysis of Eddington Gravity
Eddington's pure-connection gravity has a canonical action identical in form to the ADM Hamiltonian of General Relativity, confirming their equivalence in the Hamiltonian formalism.