Chin. Phys. Lett.  2004, Vol. 21 Issue (10): 1873-1876    DOI:
Original Articles |
Asymptotic Tails of Massive Scalar Fields in a Stationary Axisymmetric EMDA Black Hole Geometry
PAN Qi-Yuan;JING Ji-Liang
Institute of Physics, Hunan Normal University, Changsha 410081
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PAN Qi-Yuan, JING Ji-Liang 2004 Chin. Phys. Lett. 21 1873-1876
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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(μt) at the intermediate late times, and by the asymptotic tail t-5/6sin(μt) at asymptotically late times, with μ being field mass. Our result seems to suggest that the intermediate tails t-(l+3/2)sin(μt) and the asymptotically tails t-5/6sin(μt) may be a quite general feature for evolution of massive scalar fields in any four-dimensional asymptotically flat rotating black hole backgrounds.
Keywords: 03.65.Pm      04.30.Nk      04.70.Bw      97.60.Lf     
Published: 01 October 2004
PACS:  03.65.Pm (Relativistic wave equations)  
  04.30.Nk (Wave propagation and interactions)  
  04.70.Bw (Classical black holes)  
  97.60.Lf (Black holes)  
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https://cpl.iphy.ac.cn/       OR      https://cpl.iphy.ac.cn/Y2004/V21/I10/01873
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