Gravitational quasinormal modes of a parametrized Schwarzschild metric

摘要

Recently,a parametrized Schwarzschild metric(PSM)was proposed,in which n=2 to solve the differences of mass of M87*from different observations.We find the axial gravitational quasinormal modes of this metric are unstable for n>1.The decay rate of the quasinormal mode of the case n<1 is much smaller than the case n=1,which can be used to differentiate the PSM from a Schwarzschild one.