Asymptotic power-law tails of massive scalar fields in Reissner-Nordström background

Details Asymptotic power-law tails of massive scalar fields in Reissner-Nordström background Asymptotic power-law tails of massive scalar fields in Reissner-Nordström background

2000-12-06

arxiv.org/abs/gr-qc/0012022v2

Phys.Rev. D63 (2001) 064032

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

18 pages, 1 figure, accepted for publication in Physical Review D

Scientific paper

10.1103/PhysRevD.63.064032

We investigate dominant late-time tail behaviors of massive scalar fields in nearly extreme Reissner-Nordstr\"{o}m background. It is shown that the oscillatory tail of the scalar fields has the decay rate of $t^{-5/6}$ at asymptotically late times. The physical mechanism by which the asymptotic $t^{-5/6}$ tail yields and the relation between the field mass and the time scale when the tail begins to dominate, are discussed in terms of resonance backscattering due to spacetime curvature.

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