Low-lying quasinormal modes of topological AdS black holes and hydrodynamics

TL;DR

This paper analytically computes low-lying quasinormal modes of topological AdS black holes across dimensions, demonstrating their correspondence with gauge theory hydrodynamics and highlighting their significance in plasma dynamics.

Contribution

It provides an analytical calculation of gravitational quasinormal modes for topological AdS black holes, linking them to boundary hydrodynamics in the AdS/CFT framework.

Findings

Modes have long lifetimes comparable to spherical black holes.

Results agree with hydrodynamic predictions from gauge theory.

Modes influence late-time behavior of the plasma.

Abstract

We analytically calculate the low-lying gravitational quasinormal modes of a topological AdS black hole of arbitrary dimension. We show that they are in agreement with corresponding results from the hydrodynamics of the gauge theory plasma on the boundary, as required by the AdS/CFT correspondence. For some of these modes, we obtain a lifetime which is comparable to or longer than the longest lifetime of perturbations of spherical black holes. Thus, these modes are expected to play an important role in the late time behavior of the gauge theory plasma.