Stability of AdS black strings

TL;DR

This paper reviews recent progress on the stability and phase structure of asymptotically locally AdS black strings, comparing with flat black strings and highlighting key stability features.

Contribution

It provides a comprehensive review of the stability problem and phase diagram for asymptotically locally AdS black strings, including recent developments.

Findings

Stability properties of AdS black strings analyzed

Phase diagram for AdS black strings summarized

Comparison with flat black string stability included

Abstract

We review the recent developements in the stability problem and phase diagram for asymptotically locally $AdS$ black strings. First, we quickly review the case of locally flat black string before turning to the case of locally $AdS$ spacetimes.