Asymptotic tails of massive scalar fields in a stationary axisymmetric EMDA black hole geometry

Abstract

The late-time tail behavior of massive scalar fields is studied analytically in a stationary axisymmetric EMDA black hole geometry. It is shown that the asymptotic behavior of massive perturbations is dominated by the oscillatory inverse power-law decaying tail $t^{-(l+3/2)}\sin (\mu t)$ at the intermediate late times, and by the asymptotic tail $t^{-5/6}\sin (\mu t)$ at asymptotically late times. Our result seems to suggest that the intermediate tails $t^{-(l+3/2)}\sin (\mu t)$ and the asymptotically tails $t^{-5/6}\sin (\mu t)$ may be quite general features for evolution of massive scalar fields in any four dimensional asymptotically flat rotating black hole backgrounds.

6 pages