Nonlinear wave equation for torsion

Abstract

Specializing the geometry of a Riemann-Cartan space-time U 4 to the case of a completely antisymmetric torsion tensor (axial vector torsion, ∗ K μ) a set of nonlinear wave equations and constraints are established relating the torsion of the U 4 geometry to an axial vector source current. This current obeys an anomaly relation similar to the axial current in spinor electrodynamics.