Dynamical probe of thermodynamical properties in three-dimensional hairy AdS black holes

Abstract

We study separatively the quasinormal modes (QNM) of electromagnetic perturbations around three-dimensional anti-de Sitter(AdS) black holes in Jordan and Einstein frames, which are related by the conformal transformations and a redefinition of a scalar field. We find that, in the Jordan frame, the imaginary parts of QNM frequencies can reflect the thermodynamical stabilities of hairy black holes, including the possible phase transition between the hairy black hole and BTZ black hole, disclosed by examining the corresponding free energies. Similar results are also uncovered in the Einstein frame. The obtained results further support that the QNM can be a dynamic probe of the thermodynamic properties in black holes.

7 pages, 5 figures, corrected version to appear in Europhysics Letters

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Cited by in corpus (9)

• Behavior of quasinormal modes and Van der Waals-like phase transition of charged AdS black holes in massive gravity
• Quasinormal Modes and Greybody Factors of $f(R)$ gravity minimally coupled to a cloud of strings in $2+1$ Dimensions
• Photon sphere and reentrant phase transition of charged Born-Infeld-AdS black holes
• $P-v$ criticality of a specific black hole in $f(R)$ gravity coupled with Yang-Mills field
• Phase transition and Quasinormal modes for Charged black holes in 4D Einstein-Gauss-Bonnet gravity
• Quasinormal Modes and Van der Waals like phase transition of charged AdS black holes in Lorentz symmetry breaking massive gravity
• Black hole images as probes of thermodynamic evolution
• Hawking Radiation of Warped Anti de Sitter and Rotating Hairy Black Holes with Scalar Hair
• Revisiting particle circular orbits as probes of black hole phase transitions