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Signal of phase transition hidden in quasinormal modes of regular AdS black holes

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abstract

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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background 5

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gr-qc 9

years

2026 8 2025 1

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background 4

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background 4

representative citing papers

Light Rings, Accretion Disks and Shadows of Hayward Boson Stars

gr-qc · 2025-07-13 · unverdicted · novelty 5.0

Numerical construction of Hayward boson stars shows that frozen states produce Schwarzschild-like shadows with no extra photon rings while non-frozen states show multiple photon rings inside the shadow.

Hawking Radiation from the Dymnikova Regular Black Hole

gr-qc · 2026-06-07 · unverdicted · novelty 4.0

Numerical greybody factors for the Dymnikova black hole show temperature-driven luminosity suppression near the extremal remnant, with increasing fermion dominance in the residual massless flux.

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