Title: Superradiant Instability of Near Extremal and Extremal Four-Dimensional Charged Hairy Black Hole in anti-de Sitter Spacetime Show Chinese title

Title: 反德西特时空中的接近极端和极端四维带毛带电黑洞的超辐射不稳定性

Abstract: We study the instability of near extremal and extremal four-dimensional AdS charged hairy black hole to radial neutral massive and charged massless scalar field perturbations. We solve the scalar field equation by using the improved asymptotic iteration method and the time domain analysis and we find the quasinormal frequencies. For the charged scalar perturbations, we find the superradiance condition by computing the reflection coefficient in the low-frequency limit and we show that in the superradiance regime, which depends on the scalar hair charge, all modes of radial charged massless perturbations are unstable, indicating that the charged hairy black hole is superradiantly unstable. On the other hand, calculating the quasinormal frequencies of radial neutral scalar perturbations in this background, we found stability of the charged hairy black hole. Show Chinese abstract

Abstract: 我们研究了接近极值和极值的四维AdS带电毛发黑洞在径向中性大质量和电荷无质量标量场扰动下的不稳定性。 我们通过使用改进的渐近迭代法和时域分析来求解标量场方程，并找到了准正频率。 对于带电标量扰动，我们通过计算低频极限下的反射系数找到了超辐射条件，并表明在依赖于标量发散电荷的超辐射区域中，所有径向带电无质量扰动模式都是不稳定的，这表明带电毛发黑洞是超辐射不稳定的。 另一方面，在此背景下计算径向中性标量扰动的准正频率时，我们发现带电毛发黑洞是稳定的。