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Critical Phenomena in Dynamical Scalarization of Charged Black Holes
Cheng-Yong Zhang1, Qian Chen2, Yunqi Liu3
1Department of Physics and Siyuan Laboratory, Jinan University, Guangzhou 510632, China.
Abstract:
We report a new black hole (BH) scalarization mechanism and disclose novel dynamical critical phenomena in the process of the nonlinear accretion of the scalar field into BHs. The accretion process can transform a seed BH into a final scalarized or bald BH, depending on the initial parameter of the scalar field p. There is a critical parameter p_{*} and near it all intermediate solutions are attracted to a critical solution (CS) and stay there for a time scaling as T∝-γln|p-p_{*}|. At late times, the solutions evolve into scalarized black holes (BHs) if p>p_{*}, or bald BHs if p
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