Distributional torsion of charged domain walls with spin

TL;DR

This paper derives an exact solution for charged domain walls with spin in Einstein-Cartan-Maxwell theory, showing how spin, charge, and torsion influence the wall's gravitational properties and its relation to wormhole geometries.

Contribution

It provides a novel exact solution incorporating spin and charge in domain walls within Einstein-Cartan-Maxwell theory, linking torsion effects to gravitational repulsion and wormhole structures.

Findings

Spin, charge, and torsion increase the repulsive nature of the domain wall.

Electric and torsion fields are constant at the wall.

Connections between domain walls, wormholes, and torsion are discussed.

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.