Nonlinear Spinor Equation and Asymmetric Connection in General Relativity

Abstract

In order to take full account of spin in general relativity, it is necessary to consider space‐time as a metric space with torsion, as was shown elsewhere. We treat a Dirac particle in such a space. The generalized Dirac equation turns out to be of a Heisenberg‐Pauli type. The nonlinear terms induced by torsion express a universal spin‐spin interaction of range zero.