We obtain the wave equation of the perturbation theory governing massless fields of spin 0, 1/2, 1, 3/2 and 2 in accelerating Kerr–Newman–(anti-)de Sitter black holes. We show that the wave equation is separable and the radial and angular equations can both be transformed into Heun’s equation. We approximate Heun’s equation and analyze the solution of radial function near the event horizon. It is worth pointing out that all the field equations collapse to a unique equation which means it can provide a possible way for the analog research between the gravitational field and those other fields.

中文翻译：

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加速 Kerr-Newman-(anti-)de Sitter 黑洞中无质量自旋场的摄动分析

我们获得了在加速克尔-纽曼-（反）德西特黑洞中控制自旋 0、1/2、1、3/2 和 2 的无质量场的微扰理论的波动方程。我们证明了波动方程是可分的，径向和角度方程都可以转化为 Heun 方程。我们逼近 Heun 方程并分析事件视界附近径向函数的解。值得指出的是，所有的场方程都坍缩成一个唯一的方程，这意味着它可以为引力场与其他场的类比研究提供可能的途径。