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Behavior of quasinormal modes and Van der Waals-like phase transition of charged AdS black holes in massive gravity

De-Cheng ZouCenter for Gravitation and Cosmology, College of Physical Science and Technology, Yangzhou University, Yangzhou, 225009, ChinaYunqi LiuSchool of Physics, Huazhong University of Science and Technology, Wuhan, 430074, ChinaRuihong YueCenter for Gravitation and Cosmology, College of Physical Science and Technology, Yangzhou University, Yangzhou, 225009, China
2017en
ABI

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In this work, we utilize the quasinormal modes (QNMs) of a massless scalar perturbation to probe the Van der Waals-like small and large black holes (SBH/LBH) phase transition of charged topological Anti-de Sitter (AdS) black holes in four-dimensional massive gravity. We find that the signature of this SBH/LBH phase transition is detected in the isobaric as well as in the isothermal process. This further supports the idea that the QNMs can be an efficient tool to investigate the thermodynamical phase transition.

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