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Signal of phase transition hidden in quasinormal modes of regular AdS black holes
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We discuss the intrinsic relations between thermodynamic phase transitions and quasinormal modes in regular AdS black holes, specifically in the Bardeen and Hayward AdS classes. To this end, we calculate the quasinormal modes of massless scalar field perturbations around small and large black holes via the Horowitz-Hubeny method. By investigating the isobaric and isothermal phase transitions for Bardeen and Hayward AdS black holes in detail, we observe that a dramatic change of quasinormal modes appears near the phase transition point of small and large black holes, and that it corresponds to the swallow tail structure in the plane of Gibbs free energy with respect to pressure. Moreover, by analyzing the evolution of black holes along the coexistence curve of small and large black hole phases, we also observe the dramatic change in quasinormal modes. Such a phenomenon confirms the signal of the phase transition in the quasinormal mode spectrum, which can be understood as a thermodynamic signal hidden in the dynamical spectrum.
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Cited by 4 Pith papers
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Gravitational perturbations of a regular T-duality inspired black hole: Quasinormal modes, excitation factors, and time-domain evolution
Gravitational quasinormal-mode frequencies of a T-duality-inspired regular black hole are computed, showing the zero-point length makes the ringdown oscillate faster and alters damping non-monotonically.
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Scalar quasinormal modes, Lyapunov exponents and radii of null geodesics of rotating regular black holes
The paper computes scalar quasinormal modes of rotating Bardeen and Hayward black holes and finds they follow the eikonal null-geodesic relations, with Bardeen deviations up to about 19% from Kerr.
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