Conformal Gravity with the most general ELKO Matter
  Recently we have constructed the conformal gravity with metric and torsion, finding the gravitational field equations that give the conservation laws and trace condition; in the present paper we apply this theory to the case of ELKO matter field, proving that their spin and energy densities once the matter field equations are considered imply the validity of the conservation laws and trace condition mentioned above. 
Luca Fabbri
gr-qc hep-th math-ph math.MP