Large mass expansion of quasi-normal modes in AdS_5

TL;DR

This paper analytically derives the asymptotic quasi-normal mode frequencies for massive scalar fields around large AdS_5 black holes, providing explicit first-order corrections and validating results with numerical data.

Contribution

It introduces a perturbative method to compute quasi-normal modes in AdS_5, including first-order mass corrections, extending previous numerical approaches.

Findings

Zeroth-order frequencies match numerical results.

First-order corrections are proportional to 1/m.

Analytical expressions improve understanding of black hole perturbations.

Abstract

We calculate analytically the asymptotic form of quasi-normal frequencies for massive scalar perturbations of large black holes in AdS_5. We solve the wave equation, which reduces to a Heun equation, perturbatively and calculate the wave function as an expansion in 1/m, where m is the mass of the mode. The zeroth-order results agree with expressions derived by numerical analysis. We also calculate the first-order corrections to frequencies explicitly and show that they are of order 1/m.