Kaluza-Klein Vortices

TL;DR

This paper explores static vortex solutions in higher-dimensional pure gravity, revealing non-singular configurations via Kaluza-Klein monopoles and connecting the spacetime structure to minimal surface-derived gravitational instantons.

Contribution

It introduces non-singular vortex solutions in higher-dimensional gravity using Kaluza-Klein monopoles and links the spacetime geometry to gravitational instantons from minimal surfaces.

Findings

Non-singular vortex solutions exist in higher-dimensional pure gravity.

Vortices are described by gravitational instantons from minimal surfaces.

Solutions are valid for dimensions D ≥ 5.

Abstract

We study static vortex type solutions of pure gravity for $D \geq 4+1 $. Non-singular vortex solutions can be obtained by considering periodic Kaluza-Klein monopoles. We also show that away from the center of the vortices the space is described by the gravitational instantons derived from minimal surfaces.