Wormholes and Flux Tubes in 5D Kaluza-Klein Theory

In this paper spherically symmetric, nonasymptotically flat solutions to 5D Kaluza-Klein theory, with “electric” and/or “magnetic” fields are investigated. It is shown that the global structure of the spacetime depends on the relation between the “electrical” and “magnetic” Kaluza-Klein fields. For small “magnetic” field we find a wormhole-like solution located between two null surfaces. As the strength of the “magnetic” field is increased relative to the strength of the “electrical” field, the wormhole-like solution evolves into a finite or infinite flux tube depending on the strengths of the two fields. For the large “electric” field case we conjecture that this solution can be considered as the mouth of a wormhole, with the G55, G5t and G5φ components of the metric acting as the source of the exotic matter necessary for the formation of the wormhole’s mouth. For the large “magnetic” field case a 5D flux tube forms, which is similar to the flux tube between two monopoles in Type-II superconductors, or the hypothesized color field flux tube between two quarks in the QCD vacuum. E-Mail Address : [email protected] E-Mail Address : [email protected]