Dirac equation in spacetimes with torsion and non-metricity
  Dirac equation is written in a non-Riemannian spacetime with torsion and non-metricity by lifting the connection from the tangent bundle to the spinor bundle over spacetime. Foldy-Wouthuysen transformation of the Dirac equation in a Schwarzschild background spacetime is considered and it is shown that both the torsion and non-metricity couples to the momentum and spin of a massive, spinning particle. However, the effects are small to be observationally significant. 
M. Adak (Pamukkale Univ., Denizli, Turkey), T. Dereli (Koc Univ.,   Istanbul, Turkey), L.H. Ryder (Univ. of Kent, Canterbury...