Abstract
In the framework of a Poincaré gange theory, we consider a Lagrangian density containing nine terms linear or quadratic in the curvature and the torsion tensors. We consider the zero-mass normal modes of the linearized theory and we derive the conditions which the parameters have to satisfy in order to avoid zero-mass ghosts. We consider in detail the additional gauge transformations and the corresponding constraints on the sources which appear for some special values of the parameters. We conclude that a long-range propagation of the totally antisymmetric part of the torsion is not compatible with the absence of ghosts and of unphysical constraints on the sources.
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