Vanishing canonical Hamiltonian of a closed universe
= Vanishing canonical Hamiltonian of a closed universe
On a compact spatial <Cauchy hypersurface> without boundary, the gravitational <Hamiltonian> consists entirely of constraints and vanishes on solutions. There is no asymptotic time-translation boundary charge to add. This is the canonical statement that a closed universe has zero total energy; it does not assert that local matter energy density or local curvature vanishes.