Non-Riemannian cosmic walls from gravitational collapse

TL;DR

This paper introduces two classes of solutions from non-Riemannian gravitational collapse, describing torsion walls and spinning matter distributions, expanding the understanding of cosmic wall structures beyond Riemannian frameworks.

Contribution

It presents novel exact solutions in Einstein-Cartan gravity for cosmic walls, extending classical Riemannian models to include torsion and spin effects.

Findings

Derived Taub planar symmetric solutions with torsion walls.

Modified Vilenkin planar wall with spinning matter.

Enhanced understanding of non-Riemannian cosmic structures.

Abstract

Two classes of metrics obtained from non-Riemannian gravitational collapse are presented.The first is the Taub planar symmetric exact solutions of Einstein-Cartan field equations of gravity describing torsion walls which are obtained from gravitational collapse of time dependent perturbation of Riemannian Taub symmetric solutions of General Relativity.The second is a modification of the Vilenkin Riemannian planar wall which is obtained from a non-Riemannian planar distribution of spinning matter.