Signature of the black hole phase transition in quasinormal modes

Details Signature of the black hole phase transition in quasinormal modes Signature of the black hole phase transition in quasinormal modes

2010-02-13

arxiv.org/abs/1002.2679v2

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, revised version, accepted for publication in PLB

Scientific paper

We study the perturbation of the scalar field interacting with the Maxwell field in the background of d-dimensional charged AdS black hole and AdS soliton. Different from the single classical field perturbation, which always has the decay mode in the black hole background, we observe the possible growing mode when the perturbation of the scalar field strongly couples to the Maxwell field. Our results disclose the signature of how the phase transition happens when the interaction among classical fields is strong. The sudden change of the perturbation to growing mode is also observed in the AdS soliton with electric potential. However in the magnetic charged AdS soliton background, we observe the consistent perturbation behavior when the interaction between scalar field and Maxwell field is considered. This implies that for the magnetic charged AdS soliton configuration, unlike the situation with electric potential, there is no scalar field condensation which causes the phase change.

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