Melvin Magnetic Fluxtube/Cosmology Correspondence

TL;DR

This paper establishes a mathematical correspondence between Melvin magnetic fluxtubes and anisotropic cosmological solutions, enabling the transfer of solution techniques and insights between these two areas of theoretical physics.

Contribution

It introduces a novel analytic continuation linking Melvin fluxtubes and cosmologies, allowing new solution generation methods and understanding of their limiting behaviors.

Findings

Melvin cosmologies interpolate between different Kasner regimes.

Correspondence maps Levi-Civita behavior to fluxtube limits.

Generalized solutions are constructed in Einstein-Maxwell and dilaton gravity.

Abstract

We explore a correspondence between Melvin magnetic fluxtubes and anisotropic cosmological solutions, which we call `Melvin cosmologies'. The correspondence via analytic continuation provides useful information in both directions. Solution generating techniques known on the fluxtube side can also be used for generating cosmological backgrounds. Melvin cosmologies interpolate between different limiting Kasner behaviors at early and late times. This has an analogue on the fluxtube side between limiting Levi-Civita behavior at small and large radii. We construct generalized Melvin fluxtubes and cosmologies in both Einstein-Maxwell theory and dilaton gravity and show that similar properties hold.