Stabilization of the extended horizons

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 $\mathcal{N}=4$ supersymmetric Yang-Mills theory at strong coupling. The corresponding gravitational dual is $\mathcal{N}={2}^{*}$ 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.