论文标题
Kerr-de保姆的准模式通过HEUN功能
Quasinormal modes of Kerr-de Sitter black holes via the Heun function
论文作者
论文摘要
本说明解决了四维渐近de旋转黑洞的四维渐近模式频率。主要动机是Mathematica 12.1已经实施了新的特殊功能系列：Heun功能。利用Kerr-De保姆的Teukolsky的方程式黑洞映射到Heun的方程式，我们能够通过HEUN函数来计算其准模式频率。在这种方法中，Mathematica通常在几秒钟内将这些频率评估为任意数值精度。我们进一步讨论了渐近平坦旋转黑洞的应用。
This note addresses quasinormal mode frequencies of four-dimensional asymptotically de Sitter rotating black holes. The main motivation is that Mathematica 12.1 has implemented a new family of special functions: Heun functions. Using the fact that Teukolsky's equations for Kerr-de Sitter black holes are mapped to Heun's equations, we are able to compute their quasinormal mode frequencies by the Heun function. In this approach, Mathematica normally evaluates these frequencies to arbitrary numerical precision in a few seconds. We further discuss an application to asymptotically flat rotating black holes.
