We calculate numerically the quasinormal frequencies of the Klein-Gordon and Dirac fields moving in the two-dimensional dimensionally reduced BTZ black hole. Our work extends results previously published on the damped oscillations of this black hole. First, we compute the quasinormal frequencies of the minimally coupled Klein-Gordon field for a range of the dimensionally reduced BTZ black hole physical parameters that is not previously analyzed. Furthermore we determine, for the first time, the quasinormal frequencies of the Dirac field propagating in the dimensionally reduced BTZ black hole. For the Dirac field we use the Horowitz-Hubeny method and the asymptotic iteration method, while for the Klein-Gordon field the extension of the previous results is based on the asymptotic iteration method. Finally we discuss our main results.

我们用数值计算了在二维降维 BTZ 黑洞中运动的克莱因-戈登和狄拉克场的准正常频率。我们的工作扩展了之前发表的关于这个黑洞阻尼振荡的结果。首先，我们计算了先前未分析的一系列尺寸缩减的 BTZ 黑洞物理参数的最小耦合 Klein-Gordon 场的准正常频率。此外，我们首次确定了在维度减少的 BTZ 黑洞中传播的狄拉克场的准正常频率。对于 Dirac 场，我们使用 Horowitz-Hubeny 方法和渐近迭代法，而对于 Klein-Gordon 场，先前结果的扩展是基于渐近迭代法。最后，我们讨论我们的主要结果。