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

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

2004-05-26

arxiv.org/abs/gr-qc/0405129v2

Chin.Phys.Lett. 21 (2004) 1873-1876

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages

Scientific paper

10.1088/0256-307X/21/10/002

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.

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