A five-dimensional vacuum-defect wormhole space-time

TL;DR

This paper introduces a five-dimensional extension of the vacuum-defect wormhole model, resulting in a new vacuum solution that satisfies all energy conditions and can locally resemble five-dimensional Minkowski space.

Contribution

The study extends the vacuum-defect wormhole model to five dimensions, preserving vacuum solutions and energy conditions, and analyzes its geodesic properties.

Findings

The five-dimensional model is a vacuum solution.

It can be expressed in a canonical form.

Geodesic analysis reveals unique properties.

Abstract

In this study, we present a novel extension to the Klinkhamer vacuum-defect model by incorporating a fifth spatial dimension. This modification results in the formulation of a comprehensive five-dimensional wormhole space-time. Crucially, this extension preserves its classification as a vacuum solution to the field equations, thereby automatically satisfying all energy conditions. We demonstrate that this five-dimensional vacuum-defect space-time can be expressed in a pure canonical form, and thus, locally reduces to five-dimensional Minkowski space. Finally, we explore the geodesic equations in the vicinity of this five-dimensional vacuum-defect wormhole, offering insights into its intriguing properties.