Distributional Torsion of Cosmic Walls crossed by Cosmic Strings

TL;DR

This paper investigates the distributional sources of cosmic walls intersected by cosmic strings within Riemann-Cartan geometry, highlighting the role of torsion concentrated along the strings and the maximum matter density at intersection points.

Contribution

It introduces a novel analysis of cosmic wall and string interactions using distributional sources and Cartan torsion in Riemann-Cartan geometry.

Findings

Torsion is supported on cosmic strings via Dirac delta functions.

Maximum matter density occurs at the intersection points.

Off-source regions are torsionless vacuum.

Abstract

Distributional sources of cosmic walls crossed by cosmic strings from Riemann-Cartan (RC) Geometry. The matter density of the planar wall is maximum at the point where the cosmic string crosses the cosmic wall. Cartan torsion is has a support on the cosmic string given by the Dirac $ \delta $-function. Off the sources are left with a torsionless vacuum.