  Einstein's general relativity with both metric and vielbein treated as
independent fields is considered, demonstrating the existence of a consistent
variational principle and deriving a Hamiltonian formalism that treats the
spatial metric and spatial vielbein as canonical coordinates. This results in a
Hamiltonian in standard form that consists of Hamiltonian and momentum
constraints as well as constraints that generate spatial frame
transformations---all appearing as primary, first class constraints on phase
space. The formalism encompasses the standard coordinate frame and vielbein
approaches to general relativity, and the constraint algebra derived herein
reproduces known results in either limit.
