Numerical simulation of the massive scalar field evolution in the Reissner-Nordström black hole background

We studied the massive scalar wave propagation in the background of Reissner-Nordström black hole by using numerical simulations. We learned that the value Mm plays an important role in determining the properties of the relaxation of the perturbation. For Mm≪ 1 the relaxation process depends only on the field parameter and does not depend on the spacetime parameters. For Mm ≫ 1, the dependence of the relaxation on the black hole parameters appears. The bigger mass of the black hole, the faster the perturbation decays. The difference of the relaxation process caused by the black hole charge Q has also been exhibited. PACS number(s): 04.20.Ex, 04.70.Bw