论文标题

采用更强大的算法来计算Kerr准模式频率

Towards a more robust algorithm for computing the Kerr quasinormal mode frequencies

论文作者

Tanay, Sashwat

论文摘要

Leaver的方法一直是计算Kerr Black Hole(BH)的准模式(QNM)频率数十年的标准。我们从Cook和Zalutskiy(Arxiv:1410.7698)引入的Leaver方法的频谱变体开始,并提出了分析中计算必要衍生物的形式的改进,而不是通过数值有限的差异。我们还将这些导数信息纳入QNM,QNM是一种Python软件包,该软件包通过Leaver方法的光谱变体找到了QNM频率。我们只将自己局限于第一衍生物。

Leaver's method has been the standard for computing the quasinormal mode (QNM) frequencies for a Kerr black hole (BH) for a few decades. We start with a spectral variant of Leaver's method introduced by Cook and Zalutskiy (arXiv: 1410.7698) and propose improvements in the form of computing the necessary derivatives analytically, rather than by numerical finite differencing. We also incorporate this derivative information into qnm, a Python package which finds the QNM frequencies via the spectral variant of Leaver's method. We confine ourselves to first derivatives only.

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