标题： 伯恩斯坦谱方法用于一般黑洞时空的准正则模及其在标量-德西特解不稳定性中的应用 显示英文标题

标题： Bernstein spectral method for quasinormal modes of a generic black hole spacetime and application to instability of dilaton-de Sitter solution

摘要： 我们提供了改进的Mathematica代码，该代码借助Bernstein谱方法计算一般类别的黑洞的准正则频率，允许渐近平坦、德西特或反德西特渐近。 当搜索纯虚数和不稳定的模式时，该方法特别高效，这里用于检测带电标量场在带电渐近德西特稀疏黑洞背景下的不稳定性区域。 我们表明不稳定性具有超辐射性质，而稀疏场显著影响不稳定性区域。 显示英文摘要

摘要： We present the improved Mathematica code which computes quasinormal frequencies with the help of the Bernstein spectral method for a general class of black holes, allowing for asymptotically flat, de Sitter or anti-de Sitter asymptotic. The method is especially efficient when searching for purely imaginary and unstable modes and here it is used for detecting the instability region of a charged scalar field in the background of the charged asymptotically de Sitter dilatonic black hole. We show that the instability has superradiant nature and the dilaton field essentially influences the region of instability.