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 spacetime 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 HeisenbergPauli type. The nonlinear terms induced by torsion express a universal spinspin interaction of range zero.
 Publication:

Journal of Mathematical Physics
 Pub Date:
 July 1971
 DOI:
 10.1063/1.1665738
 Bibcode:
 1971JMP....12.1334H