A Domain Wall Solution by Perturbation of the Kasner Spacetime

TL;DR

This paper investigates how plane symmetric perturbations in Kasner and Bianchi Type I spacetimes can produce laminar flow structures interpreted as domain walls, expanding understanding of anisotropic cosmological models.

Contribution

It introduces a novel perturbation approach to generate domain wall solutions in Kasner and Bianchi Type I spacetimes.

Findings

Perturbations lead to laminar flow without orthogonal momentum transfer.

Results extend to Bianchi Type I spacetimes, broadening applicability.

Identifies conditions under which domain wall structures form in anisotropic universes.

Abstract

Plane symmetric perturbations are applied to an axially symmetric Kasner spacetime which leads to no momentum flow orthogonal to the planes of symmetry. This flow appears laminar and the structure can be interpreted as a domain wall. We further extend consideration to the class of Bianchi Type I spacetimes and obtain corresponding results.