Stabilization of the extended horizons

TL;DR

This paper extends existing frameworks to analyze quasinormal modes of black branes and black holes in five-dimensional Einstein gravity with multiple scalars, focusing on thermodynamic instability and horizon dynamics in gauge/gravity duality.

Contribution

It develops a generalized master field framework for quasinormal mode analysis in complex Einstein gravity setups with multiple scalars and arbitrary potentials.

Findings

Identifies dynamical instability in ${ m N}=2^*$ black branes.

Analyzes how quasinormal spectra change with boundary compactification.

Provides insights into horizon stability in higher-dimensional gravity theories.

Abstract

We extend Kodama-Ishibashi and Jansen-Rostworowski-Rutkowski master field framework to study quasinormal modes of black branes and black holes of Einstein gravity in $D=5$ space-time dimensions with multiple scalars and an arbitrary bulk potential. As an application, we consider a thermodynamically unstable state of mass deformed ${\cal N}=4$ supersymmetric Yang-Mills theory at strong coupling. The corresponding gravitational dual is ${\cal N}=2^*$ black brane with a dynamical instability of its translationary invariant horizon. We study the dependence of the quasinormal mode spectra as the boundary gauge theory is compactified on $S^3$ -- the black brane is turned into the black hole.