Domain Walls in Kaluza-Klein spacetime

TL;DR

This paper presents three exact solutions to Einstein's equations in five-dimensional Kaluza-Klein spacetime, describing thick domain walls with symmetric reflection properties and analyzing their dynamical behavior.

Contribution

It introduces three new families of exact solutions modeling thick domain walls in Kaluza-Klein spacetime, expanding the understanding of higher-dimensional gravitational structures.

Findings

Two families represent thick domain walls in five dimensions.

Spacetime exhibits reflection symmetry across the walls.

Dynamical behavior of the models is briefly analyzed.

Abstract

Three families of exact solutions of Einstein field equations are found. Each family contains three parameters. Two of these families represent thick domain walls in a five dimensional Kaluza-Klein spacetime. The dynamical behaviour of our models is briefly discussed. The spacetime in all the cases is found to be reflection symmetric with respect to the wall.