Quasinormal Modes of Phantom Scalar Perturbation in Background of Reissner-Nordstr(o)m Black Hole

摘要

We have investigated the quasinormal modes (QNMs) of phantom scalar perturbation in a Reissner-Nordstrm (RN) background.We find that the dependence of QNMs on the mass of the field for the phantom perturbation is totally different from that of usual massive perturbation.However,we obtain the same critical value of the overtone number for an angular quantum number from which the mass will begin to have a reverse effect on the real part of QNM frequencies and the perturbation-independent relation between the QNMs and the second order thermodynamic phase transition.