论文标题
重新访问Schwarzschild黑洞的准模式：数值分析
Revisiting the quasinormal modes of the Schwarzschild black hole: Numerical analysis
论文作者
论文摘要
我们重新审查了计算旋转$ 0 $，$ 1/2 $，$ 1 $，$ 3/2 $，$ 2 $，$ 2 $和旋转$ 5/2 $ fields的旋转模式的问题。我们的目的是通过比较文献中可用的一些数值方法来研究问题，但仍未用于求解由Schwarzschild Black Hole SpaceTime中扰动方程引起的特征值问题。我们专注于伪谱和渐近迭代方法。这些数值方法是针对文献中可用结果的，并彼此面对的精度。除了测试不同的数值方法外，与已知结果相比，我们还计算所有研究的扰动场的较高泛音。特别是，我们获得了纯粹的假想频率，以旋转$ 1/2 $和$ 3/2 $字段，与文献中先前报道的分析结果一致。旋转$ 1/2 $字段的纯虚拟频率与Spin $ 3/2 $字段获得的频率完全相同。反过来，首次计算自旋$ 5/2 $扰动场的准频率，在这种情况下，也发现了纯粹的假想频率。我们得出的结论是，这两种方法都提供了准确的结果，并且它们相互补充。
We revisit the problem of calculating the quasinormal modes of spin $0$, $1/2$, $1$, $3/2$, $2$, and spin $5/2$ fields in the asymptotically flat Schwarzschild black hole spacetime. Our aim is to investigate the problem from the numerical point of view, by comparing some numerical methods available in the literature and still not applied for solving the eigenvalue problems arising from the perturbation equations in the Schwarzschild black hole spacetime. We focus on the pseudo-spectral and the asymptotic iteration methods. These numerical methods are tested against the available results in the literature, and confronting the precision between each other. Besides testing the different numerical methods, we calculate higher overtones quasinormal frequencies for all the investigated perturbation fields in comparison with the known results. In particular, we obtain purely imaginary frequencies for spin $1/2$ and $3/2$ fields that are in agreement with analytic results reported previously in the literature. The purely imaginary frequencies for the spin $1/2$ field are exactly the same as the frequencies obtained for the spin $3/2$ field. In turn, the quasinormal frequencies for the spin $5/2$ perturbation field are calculated for the very first time, and purely imaginary frequencies are found also in this case. We conclude that both methods provide accurate results and they complement each other.
