论文标题
使用持续分数方法计算Schwarzschild Anti anti Sitter的抗De抗DE的准模式
Calculating quasinormal modes of Schwarzschild anti-de Sitter black holes using the continued fraction method
论文作者
论文摘要
我们使用数值持续分数方法研究了Schwarzschild Anti-DE保姆的标量，引力和电磁准模式光谱。光谱具有相似的几乎线性结构。除少数例外，低泛音的准模式与使用其他数值技术的文献中先前获得的结果一致。与Schwarzschild情况相比，中间和高泛音的准模式非常快速地收敛于先前通过分析单构型技术获得的渐近公式。此外，我们发现分析渐近公式与纯虚构模式之间的联系。特别是，这些公式可用于预测最低阻尼电磁模式的分叉。最后，我们发现没有高振荡频率和低阻尼的高甲状管准模式，这是先前预测的。
We investigate the scalar, gravitational, and electromagnetic quasinormal mode spectra of Schwarzschild anti-de Sitter black holes using the numerical continued fraction method. The spectra have similar, almost linear structures. With a few exceptions, the low overtone quasinormal modes are consistent with previously obtained results in the literature that use other numerical techniques. The intermediate and high overtone quasinormal modes, in comparison to the Schwarzschild case, converge very quickly to the asymptotic formulas previously obtained by analytic monodromy techniques. In addition, we find a connection between the analytic asymptotic formulas and the purely imaginary modes. In particular, these formulas can be used to predict the bifurcation of the lowest damped electromagnetic modes. Finally, we find no high overtone quasinormal modes with high oscillation frequency and low damping, which had been previously predicted.
