Asymptotic tails of massive scalar fields in Schwarzschild background

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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21 pages, 2 figures, accepted for publication in Phys.Rev.D

Scientific paper

10.1103/PhysRevD.64.044014

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 $2\pi/m$ 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-Nordstr\"{o}m background, which are discussed in terms of a resonant backscattering due to the space-time curvature.

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