Asymptotic tails of massive scalar fields in a Schwarzschild background

2001/03/31 by Hiroko Koyama, Akira Tomimatsu
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Pulsars and Gravitational Waves Research #gr-qc

paper · pdf · doi:10.1103/physrevd.64.044014

published as Phys.Rev. D64 (2001) 044014 · 21 pages, 2 figures, accepted for publication in Phys.Rev.D

arxiv created 2001/05/04 · openalex publication_date 2001/07/26 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

Citations

• Introducing the black hole
• Vacuum polarization of scalar fields near Reissner-Nordström black holes and the resonance behavior in field-mass dependence
• Asymptotic power-law tails of massive scalar fields in a Reissner-Nordström background
• An Alternative to Compactification
• Late-time behavior of stellar collapse and explosions. I. Linearized perturbations
• Late-time behavior of stellar collapse and explosions. II. Nonlinear evolution