Rotating 5D-Kaluza-Klein Space-Times from Invariant Transformations

TL;DR

This paper develops a method using invariant transformations to generate new rotating exact solutions in 5D Kaluza-Klein theory, including configurations with magnetic monopoles and multipole fields, from static solutions.

Contribution

It introduces a systematic approach to derive rotating solutions in 5D KK theory using invariant transformations, simplifying the process of finding complex configurations.

Findings

Derived new exact rotating solutions with magnetic monopoles and multipoles

Established a procedure for generating solutions from static configurations

Simplified the integration process for obtaining solutions

Abstract

Using invariant transformations of the five-dimensional Kaluza-Klein (KK) field equations, we find a series of formulae to derive axial symmetric stationary exact solutions of the KK theory starting from static ones. The procedure presented in this work allows to derive new exact solutions up to very simple integrations. Among other results, we find exact rotating solutions containing magnetic monopoles, dipoles, quadripoles, etc., coupled to scalar and to gravitational multipole fields.