On the stability of AdS black strings

TL;DR

This paper investigates the stability of AdS black strings using linearized perturbation theory, finding stability for large horizons and supporting the Gubser-Mitra conjecture.

Contribution

It provides the first detailed stability analysis of AdS black strings, confirming stability conditions and linking to the Gubser-Mitra conjecture.

Findings

Large AdS black strings are stable.

All topological black strings are stable.

Supports the Gubser-Mitra conjecture.

Abstract

We explore via linearized perturbation theory the Gregory-Laflamme instability of the black string solutions of Einstein's equations with negative cosmological constant recently discussed in literature. Our results indicate that the black strings whose conformal infinity is the product of time and $S^{d-3}\times S^1$ are stable for large enough values of the event horizon radius. All topological black strings are also classically stable. We argue that this provides an explicit realization of the Gubser-Mitra conjecture.