Black string instabilities in anti-de Sitter space

TL;DR

This paper extends the understanding of black string instabilities to anti-de Sitter space, revealing how such instabilities lead to black hole formations and how they are affected by the space's compactification scale.

Contribution

It introduces a method to analyze black string instabilities in AdS backgrounds and describes the resulting black hole formations and the impact of finite AdS extent.

Findings

Black string instability extends to AdS space.

Fragmentation leads to mini black holes near the AdS horizon.

Instability is suppressed below a certain compactification scale.

Abstract

We show how to extend the usual black string instability of vacuum or charged black p-branes to the anti-de Sitter background. The string fragments in an analogous fashion to the $\Lambda=0$ case, the main difference being that instead of a periodic array of black holes forming, an accumulation of ``mini'' black holes occurs towards the AdS horizon. In the case where the AdS space is of finite extent, such as an orbifold compactification, we show how the instability switches off below a certain compactification scale.