Quasinormal modes and stability of boosted Reissner-Nordstr\"om AdS black holes

Understand

We investigate the numerical stability of accelerated AdS black holes against linear scalar perturbations.

• In particular, we study the evolution of a probe non-minimally coupled scalar field on Schwarzschild and Reissner-Nordstr\"om AdS black holes with small accelerations by computing the quasinormal modes of the perturbation spectrum.
• We decompose the scalar field Klein-Gordon equation and study the eigenvalue problem for its angular and radial-temporal parts using different numerical methods.
• The angular part is written in terms of the Heun solution and expanded through the Frobenius method which turns out to give eigenvalues qualitatively similar to the ones obtained through the spherical harmonics representation.