Evolution of perturbations of squashed Kaluza-Klein black holes: escape from instability
Evolution of perturbations of squashed Kaluza-Klein black holes: escape from instability
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DOI：
10.1103/physrevd.77.084019
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发表时间：
2008-02
影响因子：
5
通讯作者：
H. Ishihara;M. Kimura;R. Konoplya;Keiju Murata;J. Soda;A. Zhidenko
中科院分区：
文献类型：
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作者：
H. Ishihara;M. Kimura;R. Konoplya;Keiju Murata;J. Soda;A. Zhidenko
被挤压的Kaluza-Klien(KK)黑洞不同于具有渐近平坦性的Schwarzschild黑洞或黑弦黑洞，甚至在KK模还没有被激发的能量下也不同，因此被挤压的KK黑洞打开了一个更高维的窗口。另一个重要的特征是，被挤压的KK黑洞显然是稳定的，因此，我们可以避免Gregory-Laflamme不稳定性。本文研究了这些被挤压的KK黑洞的标量扰动和引力扰动在时间域和频率域中的演化。分析了一般旋转挤压KK黑洞的标量场微扰。对于非旋转黑洞，所谓零模的引力扰动是衰变的，这与被挤压的KK黑洞的稳定性一致。讨论了准正则频率与附加维大小的关系。
The squashed Kaluza-Klien (KK) black holes differ from the Schwarzschild black holes with asymptotic flatness or the black strings even at energies for which the KK modes are not excited yet, so that squashed KK black holes open a window in higher dimensions. Another important feature is that the squashed KK black holes are apparently stable and, thereby, let us avoid the Gregory-Laflamme instability. In the present paper, the evolution of scalar and gravitational perturbations in time and frequency domains is considered for these squashed KK black holes. The scalar field perturbations are analyzed for general rotating squashed KK black holes. Gravitational perturbations for the so-called zero mode are shown to be decayed for nonrotating black holes, in concordance with the stability of the squashed KK black holes. The correlation of quasinormal frequencies with the size of extra dimension is discussed.