Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-07-05
Phys.Rev. D70 (2004) 064025
Physics
High Energy Physics
High Energy Physics - Theory
10 pages, 14 figures, 2 tables. Revised version, with several typos corrected. We thank Alexander Zhidenko and Owen Pavel Fern
Scientific paper
10.1103/PhysRevD.70.064025
We present a comprehensive study of the massless scalar field perturbation in the Reissner-Nordstrom anti-de Sitter (RNAdS) spacetime and compute its quasinormal modes (QNM). For the lowest lying mode, we confirm and extend the dependence of the QNM frequencies on the black hole charge got in previous works. In near extreme limit, under the scalar perturbation we find that the imaginary part of the frequency tends to zero, which is consistent with the previous conjecture based on electromagnetic and axial gravitational perturbations. For the extreme value of the charge, the asymptotic field decay is dominated by a power-law tail, which shows that the extreme black hole can still be stable to scalar perturbations. We also study the higher overtones for the RNAdS black hole and find large variations of QNM frequencies with the overtone number and black hole charge. The nontrivial dependence of frequencies on the angular index is also discussed.
Lin Chi-Yong
Molina C.
Wang Bin
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