We introduce an energy-momentum density vector which is independent of the affine structure of the manifold. Conservation of this quantity is linked to observers. Integrating over timelike surfaces, we define the Hamiltonian and momentum of the system which coincide with the corresponding standard ADM definitions when taking adequate asymptotical conditions. We define an Equivalence Principle for manifolds with torsion as a possible extension of the Equivalence Principle of General Relativity to non-Riemannian geometries.
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