论文标题
2 +1维度的极端dilaton黑洞：准模式
Extreme Dilaton Black Holes in 2 +1 Dimensions: Quasinormal modes
论文作者
论文摘要
我们研究了2 +1维度的极端dilaton黑洞周围的中性无质量标量场扰动：无质量标量场的波方程在惠特克函数方面可完全解决。因此，准确计算了准模式并显示为纯粹的虚构：我们显示了稳定和不稳定模式的存在。有趣的是，准模式不取决于黑洞参数，并且基本模式始终不稳定，仅取决于测试场的参数。此外，我们通过改进的渐近迭代方法确定了准频率，该方法与分析结果良好一致。
We study neutral massless scalar field perturbations around an extreme dilaton black hole in 2 +1 dimensions: the wave equations of the massless scalar field is shown to be exactly solvable in terms of Whittaker functions. Thus, the quasinormal modes are computed exactly and shown to be purely imaginary: we show the existence of stable and unstable modes. Interestingly, the quasinormal modes do not depend on the black holes parameters and the fundamental mode is always unstable and depends only on the parameters of the test field. Also, we determine the quasinormal frequencies via the improved asymptotic iteration method which shows a good agreement with the analytical results.
