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Asymptotic Tails of Massive Scalar Fields in a Stationary Axisymmetric EMDA Black Hole Geometry

2004/05/30 by Qiyuan Pan, Pan Qi-Yuan, Jiliang Jing +1 · 2 citations
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #astro-ph #gr-qc #hep-th

paper · pdf · doi:10.1088/0256-307x/21/10/002

published as Chin.Phys.Lett. 21 (2004) 1873-1876 · 6 pages

arxiv created 2004/05/30 · openalex publication_date 2004/10/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

The late-time tail behaviour of massive scalar fields is studied analytically in a stationary axisymmetric Einstein–Maxwell Dilaton–Axion (EMDA) black hole geometry. It is shown that the asymptotic behaviour of massive perturbations is dominated by the oscillatory inverse power-law decaying tail t −( l +3/2) sin (μ t ) at the intermediate late times, and by the asymptotic tail t −5/6 sin (μ t ) at asymptotically late times, with μ being field mass. Our result seems to suggest that the intermediate tails t −( l +3/2) sin (μ t ) and the asymptotically tails t −5/6 sin (μ t ) may be a quite general feature for evolution of massive scalar fields in any four-dimensional asymptotically flat rotating black hole backgrounds.

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