Quasinormal modes of Schwarzschild black holes in four and higher dimensions
Quasinormal modes of Schwarzschild black holes in four and higher dimensions
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DOI：
10.1103/physrevd.69.044004
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发表时间：
2003-09
影响因子：
5
通讯作者：
V. Cardoso;J. Lemos;Shijun Yoshida
中科院分区：
文献类型：
--
作者：
V. Cardoso;J. Lemos;Shijun Yoshida
我们对四维和五维史瓦西黑洞的标量、电磁和引力扰动的渐近拟正规模式进行了彻底的研究。我们的数值结果完全支持 Motl 和 Neitzke 对首项的所有分析预测。我们还通过扩展到更高的维度，分析计算一阶校正，Musiri 和 Siopsis 之前的工作，并发现与数值结果非常一致。对于通用时空维数 D，一阶修正为 $\frac{1}{n^{(D-3)/(D-2)}}$。这意味着五维情况比四维情况更快地收敛到渐近值，正如我们也在数值上显示的那样。
We make a thorough investigation of the asymptotic quasinormal modes of the four and five-dimensional Schwarzschild black hole for scalar, electromagnetic and gravitational perturbations. Our numerical results give full support to all the analytical predictions by Motl and Neitzke, for the leading term. We also compute the first order corrections analytically, by extending to higher dimensions, previous work of Musiri and Siopsis, and find excellent agreement with the numerical results. For generic spacetime dimension number D the first-order corrections go as $\frac{1}{n^{(D-3)/(D-2)}}$. This means that there is a more rapid convergence to the asymptotic value for the five dimensional case than for the four dimensional case, as we also show numerically.