Gravitating Fluxbranes

TL;DR

This paper explores how gravity influences the formation of fluxbranes, showing that self-gravity of form fields can create flux-tube-like solutions similar to the Melvin universe, with various exact solutions derived.

Contribution

It introduces new exact solutions for fluxbranes considering self-gravity and dilaton coupling, expanding understanding of fluxbrane configurations in gravitational backgrounds.

Findings

Self-gravity of form fields leads to fluxbrane solutions.

Exact solutions found for different transverse spaces and world-volumes.

Dilaton coupling effects are also analyzed.

Abstract

We consider the effect that gravity has when one tries to set up a constant background form field. We find that in analogy with the Melvin solution, where magnetic field lines self-gravitate to form a flux-tube, the self-gravity of the form field creates fluxbranes. Several exact solutions are found corresponding to different transverse spaces and world-volumes, a dilaton coupling is also considered.