Horizon instability of massless scalar perturbations of an extreme Reissner-Nordström-AdS black hole

被引：0
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作者：
Shao-Jun Zhang
Qiyuan Pan
Bin Wang
Elcio Abdalla
机构：
[1] Shanghai Jiao Tong University,Department of Physics and Astronomy
[2] Hunan Normal University,Institute of Physics and Department of Physics
[3] Universidade de São Paulo,Instituto de Física
来源：
Journal of High Energy Physics | / 2013卷
关键词：
Black Holes; Classical Theories of Gravity;
D O I：
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摘要：
We study the stability of extreme Reissner-Nordström-AdS black hole under massless scalar perturbations. We show that the perturbation on the horizon of the extreme Reissner-Nordström-AdS black hole experiences a power-law decay, instead of an exponential decay as observed in the nonextreme AdS black hole. On the horizon of the extreme Reissner-Nordström-AdS black hole, the blow up happens at lower order derivative of the scalar field compared with that of the extreme Reissner-Nordström black hole, which shows that extreme AdS black holes tend to instability in comparison to black holes in asymptotic flat space-times.
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