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Asymptotic tails of massive scalar fields in Schwarzschild background

Hiroko Koyama·Akira Tomimatsu
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Abstract

We investigate the asymptotic tail behavior of massive scalar fields in Schwarzschild background. It is shown that the oscillatory tail of the scalar field has the decay rate of $t^{-5/6}$ at asymptotically late times, and the oscillation with the period $2π/m$ for the field mass $m$ is modulated by the long-term phase shift. These behaviors are qualitatively similar to those found in nearly extreme Reissner-Nordström background, which are discussed in terms of a resonant backscattering due to the space-time curvature.

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Hiroko Koyama, Akira Tomimatsu. 2001-05-04. Asymptotic tails of massive scalar fields in Schwarzschild background. https://doi.org/10.1103/physrevd.64.044014

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