Abstract
We clarify the purely imaginary quasinormal frequencies of a massless scalar perturbation on 3D charged-dilaton black holes. This case is quite interesting, because the step of the potential appears outside the event horizon, similar to the case of the electromagnetic perturbations on large Schwarzschild–anti-de Sitter (AdS) black holes. It turns out that the potential-step type with a massless scalar perturbation provides purely imaginary quasinormal frequencies.
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Myung, Y.S., Kim, YW. & Park, YJ. Quasinormal modes from potentials surrounding the charged-dilaton black hole. Eur. Phys. J. C 58, 617–625 (2008). https://doi.org/10.1140/epjc/s10052-008-0802-4
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DOI: https://doi.org/10.1140/epjc/s10052-008-0802-4