Tails from the Bulk: Gravitational Decay in AdS$_5$

TL;DR

This paper investigates gravitational perturbations of five-dimensional Schwarzschild-AdS black holes, revealing a late-time power-law decay modulated by universal oscillations, supported by numerical simulations and quasinormal mode analysis.

Contribution

It identifies a late-time decay regime in AdS$_5$ black holes and characterizes it through quasinormal modes and nonlinear numerical evolutions, confirming the decay pattern and stability.

Findings

Late-time power-law decay in gravitational perturbations.

Universal oscillatory modulation of decay.

No signs of instability in long-term evolutions.

Abstract

We study gravitational perturbations of Schwarzschild-AdS black holes in $d = 5$ and identify a regime of late-time power-law decay for smooth initial data. Based on an analysis of the quasinormal mode spectrum, we predict and characterise this decay behaviour. We perform fully nonlinear numerical evolutions with long integration times that support the prediction and exhibit no signs of instability. Remarkably, the decay is modulated by a universal oscillatory pattern, consistent with subleading corrections from a large-angular-momentum (eikonal) analysis of the quasinormal mode spectrum.