On the Geometry of Planar Domain Walls

TL;DR

This paper explores the geometric properties of planar domain walls, demonstrating their plane symmetry and their representation as revolution paraboloids in Minkowski coordinates.

Contribution

It provides a geometric analysis showing that planar domain walls possess plane symmetry and are represented as revolution paraboloids in Minkowski space.

Findings

Planar domain walls have plane symmetry.

In Minkowski coordinates, walls are revolution paraboloids.

The geometric structure of domain walls is clarified.

Abstract

The Geometry of planar domain walls is studied. It is argued that the planar walls indeed have plane symmetry. In the Minkowski coordinates the walls are mapped into revolution paraboloids.