POSITIVE ENERGY VIA THE TELEPARALLEL HAMILTONIAN

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Abstract
The canonical analysis of the teleparallel form of Einstein’s gravitational theory is discussed. For teleparallel theories of gravity the Hamiltonian density is mostly quadratic and the flux integrand at spatial infinity for the conserved total energy-momentum is quite naturally fully 4-covariant. These features plus a rotational gauge condition allow us to obtain a new, strictly tensorial, proof of the positivity of total energy for Einstein gravity from its teleparallel formulation. The Schwarzschild solution is used to provide insight into the proof and its various allowed positive “localizations” of gravitational energy.

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