Phase Structure and Quasinormal Modes of AdS Black Holes in Rastall Theory

Abstract EN

We discuss the P−V criticality and phase transition in the extended phase space of anti-de Sitter(AdS) black holes in four-dimensional Rastall theory and recover the Van der Waals (VdW) analogy of small/large black hole (SBH/LBH) phase transition when the parameters ωs and ψ satisfy some certain conditions.

Later, we further explore the quasinormal modes (QNMs) of massless scalar perturbations to probe the SBH/LBH phase transition.

It is found that it can be detected near the critical point, where the slopes of the QNM frequencies change drastically in small and large black holes.