Classical Stability of Black Branes

TL;DR

This paper reviews the classical stability of various static black brane solutions under small perturbations, examining their dynamical and thermodynamic stability relationships across different spacetime backgrounds.

Contribution

It provides a summarized analysis of stability behaviors of black branes in diverse settings and tests the Gubser-Mitra conjecture for these cases.

Findings

Black branes exhibit specific stability behaviors under perturbations.

The Gubser-Mitra conjecture holds for the studied black brane solutions.

Stability properties vary with the spacetime background and charge configurations.

Abstract

Classical stability behaviors of various static black brane backgrounds under small perturbations have been summarized briefly. They include cases of black strings in AdS$_5$ space, charged black $p$-brane solutions in the type II supergravity, and the BTZ black string in four-dimensions. The relationship between dynamical stability and local thermodynamic stability - the so-called Gubser-Mitra conjecture - has also been checked for those cases.