A Hamiltonian is constructed that renders a deformed Poisson bracket spacetime theory canonical and covariant, enabling consistent coupling to scalar matter and dust.
Buchdahl,Non-Linear Lagrangians and Cosmological Theory,Monthly Notices of the Royal Astronomical Society150(1970) 1
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Canonical form of a deformed Poisson bracket spacetime
A Hamiltonian is constructed that renders a deformed Poisson bracket spacetime theory canonical and covariant, enabling consistent coupling to scalar matter and dust.