Phase transition of charged-AdS black holes and quasinormal modes: A time domain analysis

@article{Chabab2017PhaseTO,
  title={Phase transition of charged-AdS black holes and quasinormal modes: A time domain analysis},
  author={Mohamed Chabab and H. El Moumni and Samir Iraoui and Karima Masmar},
  journal={Astrophysics and Space Science},
  year={2017},
  volume={362},
  pages={1-7}
}
In this work, we investigate the time evolution of a massless scalar perturbation around small and large RN-AdS4$\text{RN-AdS}_{4}$ black holes for the purpose of probing the thermodynamic phase transition. We show that below the critical point the scalar perturbation decays faster with increasing of the black hole size, both for small and large black hole phases. Our analysis of the time profile of quasinormal mode reveals a sharp distinction between the behaviors of both phases, providing a… 

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