The Instability of Charged Black Strings and p-Branes

TL;DR

This paper analyzes the stability of charged black strings and p-branes in string theory, showing that charge generally does not stabilize these objects and exploring how instabilities evolve with varying charge.

Contribution

It extends previous uncharged black string stability analysis to include small and generic charges, demonstrating that charge does not prevent instability.

Findings

Charge does not stabilize black strings and p-branes.

Instability persists across different charge configurations.

Analysis includes a specific magnetically charged black 6-brane.

Abstract

We investigate the evolution of small perturbations around charged black strings and branes which are solutions of low energy string theory. We give the details of the analysis for the uncharged case which was summarized in a previous paper. We extend the analysis to the small charge case and give also an analysis for the generic case, following the behavior of unstable modes as the charge is modified. We study specifically a magnetically charged black 6-brane, but show how the instability is generic, and that charge does not in general stabilise black strings and p-branes.