Gravitational Model of the String

TL;DR

This paper demonstrates that an infinite gravitational flux tube in 5D Kaluza-Klein gravity can be viewed as a moving string-like object with electric and magnetic flux, and explores associated 4D gravitational waves.

Contribution

It introduces a novel interpretation of 5D flux tubes as string-like objects with embedded electromagnetic flux in a Minkowski spacetime.

Findings

Flux tube solution exhibits electric and magnetic field flux.

4D gravitational waves are analyzed on the flux tube.

Embedding in Minkowski spacetime supports string-like interpretation.

Abstract

It is shown that an infinite gravitational flux tube solution in 5D Kaluza-Klein gravity with the cross section in the Planck region after $5D \to 4D$ reduction and isometrical embedding in a Minkowski spacetime can be considered as a moving infinite string-like object. Such object has a flux of the electric and magnetic fields. The 4D gravitational waves on the tube are considered.