Abstract
In four-dimensional Einstein-Gauss-Bonnet (EGB) gravity, we consider the thermodynamic and phase transitions of (charged) AdS black holes. For the negative GB coefficient , the system allows two physical critical points, corresponding to the reentrant phase transition, when the charge . For arbitrary , the system always leads to a van der Waals phase transition. We then study the quasinormal modes (QNMs) of massless scalar perturbations to probe the van der Waals-like phase transition between small and large black holes (SBH/LBH) for (charged) AdS black holes. We find that the signature of this SBH/LBH phase transition in the isobaric process can be detected since the slopes of the QNM frequencies change dramatically in small and large black holes near the critical point. The obtained results further support that QNMs can be a dynamic probe of thermodynamic properties in black holes.
Highlights
During the past decades, higher order derivative curvature gravities, as the effective models of gravity in their low-energy limit string theories, have attracted considerable interest
We find that the signature of this SBH/LBH phase transition in the isobaric process can be detected since the slopes of the quasinormal modes (QNMs) frequencies change drastically different in small and large black holes near the critical point
Thermodynamics of AdS black holes has been studied in the extended phase space where the cosmological constant is treated as the pressure of the system [21, 22], where it was found that a first order small and large black holes phase transition is allowed and the P − V isotherms are analogous to the Van der Waals fluid
Summary
Higher order derivative curvature gravities, as the effective models of gravity in their low-energy limit string theories, have attracted considerable interest. Thermodynamics of AdS black holes has been studied in the extended phase space where the cosmological constant is treated as the pressure of the system [21, 22], where it was found that a first order small and large black holes phase transition is allowed and the P − V isotherms are analogous to the Van der Waals fluid. The QNMs of dynamical perturbation for the black hole was reported in 4D neutral EGB black hole[54, 55], the neutral dS[56] and the regularized case[57] Motivated by these results and the extensive importance of AdS/CFT correspondence, the aim of this paper is to study whether signature of Van der Waals like SBH/LBH phase transition of charged AdS black holes in 4D EGB gravity can be reflected by the dynamical QNMs behavior with the massless scalar perturbation.
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