On the stability of homogeneous black strings in AdS

Understand

In this paper we extend the analysis of the stability of an homogeneous black string in the presence of a negative cosmological constant with minimally coupled scalar fields.

• We recall the linear stability of this solutions under generic perturbations on the metric and of the scalar fields.
• Then, we extend the study of the stability by presenting the existence of a non-generic perturbation which may lead to an unstable behavior.
• The later mode is fine-tuned since it requires the scalar field degree of freedom to be absent through the whole evolution of the system.