Abstract
The requirement that the Poincaré gauge theory of gravitation has a correct Newtonian limit leads to tachyonic torsion shock waves. We show that the problems are due to those parts of the Levi-Civita connection which are vertical to the hypersurface in which the shock waves propagate. We argue that, as a consequence of certain symmetries of a (3 + 1)-decomposition of spacetime, the non-dynamical parts are Lagrange multipliers. We point out that this interpretation is not compatible with the minimal coupling procedure.
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