Eur. Phys. J. C (2008) 58: 617-625
https://doi.org/10.1140/epjc/s10052-008-0802-4

Regular Article - Theoretical Physics

Quasinormal modes from potentials surrounding the charged-dilaton black hole

¹ Institute of Basic Science and School of Computer Aided Science, Inje University, Gimhae, 621-749, South Korea
² Department of Physics and Center for Quantum Spacetime, Sogang University, Seoul, 121-742, South Korea

^* e-mail: ywkim65@gmail.com

Received: 8 October 2008
Published online: 19 November 2008

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.