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

Qiyuan Pan·Jiliang Jing
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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(μt)$ at the intermediate late times, and by the asymptotic tail $ t^{-5/6}\sin(μt)$ at asymptotically late times. Our result seems to suggest that the intermediate tails $ t^{-(l+3/2)}\sin(μt)$ and the asymptotically tails $t^{-5/6} \sin(μt)$ 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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Qiyuan Pan, Jiliang Jing. 2004-05-30. Asymptotic tails of massive scalar fields in a stationary axisymmetric EMDA black hole geometry. https://doi.org/10.1088/0256-307x%2F21%2F10%2F002

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