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

Fuente: arXiv
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Autori principali: Guo, Yang, Xie, Hao, Miao, Yan-Gang
Natura: Preprint
Pubblicazione: 2024
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author Guo, Yang
Xie, Hao
Miao, Yan-Gang
author_facet Guo, Yang
Xie, Hao
Miao, Yan-Gang
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2402_10406
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Signal of phase transition hidden in quasinormal modes of regular AdS black holes
Guo, Yang
Xie, Hao
Miao, Yan-Gang
General Relativity and Quantum Cosmology
High Energy Physics - Theory
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.
title Signal of phase transition hidden in quasinormal modes of regular AdS black holes
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
url https://arxiv.org/abs/2402.10406