On the Stability of the GPS Magnetic Monopole Solution

TL;DR

This paper examines the stability of the Gross-Perry-Sorkin Kaluza-Klein magnetic monopole solution in supergravity, revealing it lacks a certain spin structure and may not be inherently stable.

Contribution

It demonstrates that the monopole solution does not support a specific spin structure, challenging previous assumptions about its stability.

Findings

The solution lacks a Killing-type spin structure.

It is not necessarily stable contrary to earlier beliefs.

Provides insights into the geometric properties affecting stability.

Abstract

The question of the stability of the four dimensional Gross-Perry-Sorkin Kaluza-Klein magnetic monopole solution is investigated within the framework of a N=2, D=5 supergravity theory. We show that this solution does not support a spin structure of the Killing type and is therefore, contrary to previous expectations, not necessarily stable.