On non-uniform black branes

TL;DR

This paper investigates non-uniform black branes, specifically uncharged black strings in five dimensions, revealing a first order phase transition from uniform to non-uniform configurations through perturbative solutions.

Contribution

It provides the first perturbative analysis of non-uniform black branes and identifies a first order transition in five-dimensional uncharged black strings.

Findings

Evidence of a first order transition from uniform to non-uniform black strings.

Construction of static, non-uniform solutions perturbatively.

Insights into the stability and phase structure of black branes.

Abstract

Certain black branes are unstable toward fluctuations that lead to non-uniform mass distributions. We study static, non-uniform solutions that differ only perturbatively from uniform ones. For uncharged black strings in five dimensions, we find evidence of a first order transition from uniform to non-uniform solutions.