Distributional torsion of charged domain walls with spin

Abstract

An exact solution of Einstein-Cartan-Maxwell (ECM) field equations representing a charged domain wall given by the jump on the electric charge and spin density across the wall is obtained from the Riemannian theory of distributions. The Gauss-Coddazzi equations are used to show that spin, charge and Cartan torsion increases the repulsive character of the domain wall. Taub and Vilenkin walls are discussed as well as their relations to wormhole geometry. The electric and torsion fields are constants at the wall.