Low frequency quasi-normal modes of AdS black holes

TL;DR

This paper analytically computes low frequency quasi-normal modes of AdS Schwarzschild black holes, confirming their consistency with hydrodynamic predictions and numerical results, thereby advancing understanding of black hole perturbations in AdS spaces.

Contribution

It provides explicit analytical expressions for low frequency quasi-normal modes of AdS black holes, aligning with hydrodynamics and numerical data, enhancing theoretical understanding.

Findings

Analytical expressions match hydrodynamic predictions.

Results agree with numerical calculations.

Supports AdS/CFT correspondence in black hole perturbations.

Abstract

We calculate analytically low frequency quasi-normal modes of gravitational perturbations of AdS Schwarzschild black holes in $d$ dimensions. We arrive at analytic expressions which are in agreement with their counterparts from linearized hydrodynamics in $S^{d-2}\times \mathbb{R}$, in accordance with the AdS/CFT correspondence. Our results are also in good agreement with results of numerical calculations.