Signature of the Van der Waals like small-large charged AdS black hole phase transition in quasinormal modes

Understand

We calculate the quasinormal modes of massless scalar perturbations around small and large four-dimensional Reissner-Nordstrom-Anti de Sitter (RN-AdS) black holes.

• We find a dramatic change in the slopes of quasinormal frequencies in small and large black holes near the critical point where the Van der Waals like thermodynamic phase transition happens.
• This further supports that the quasinormal mode can be a dynamic probe of the thermodynamic phase transition.