We establish an exact formulation for wave scattering of a massless field with spin and charge by a Kerr–Newman–de Sitter black hole. Our formulation is based on the exact solution of the Teukolsky equation in terms of the local Heun function, and does not require any approximation. It serves as simple exact formulae with arbitrary high precision, which realize fast calculation without restrictions on model parameters. We highlight several applications including quasinormal modes, cross section, reflection/absorption rate, and Green function.

中文翻译：

---

黑洞波散射的精确解：公式

我们通过 Kerr-Newman-de Sitter 黑洞建立了具有自旋和电荷的无质量场的波散射的精确公式。我们的公式基于 Teukolsky 方程在局部 Heun 函数方面的精确解，不需要任何近似。它作为任意高精度的简单精确公式，实现了不受模型参数限制的快速计算。我们重点介绍了几种应用，包括准正常模式、横截面、反射/吸收率和格林函数。