A number of near-extremal conditions are utilized to simplify the equation of motion of the neutral scalar perturbations in generalized spherically symmetric black hole background into a differential equation with the Pöschl–Teller potential. An analytic formula for quasinormal frequencies is obtained. The analytic formula is then used to investigate strong cosmic censorship conjectures (SCC) of the generalized black hole spacetime for the smooth initial data. The Christodoulou version of the SCC is found to be violated for certain regions of the black hole parameter space including the black holes in general relativity while the \(C^{1}\) version of the SCC is always valid.

利用大量接近极端的条件，将广义球对称黑洞背景下的中性标量摄动的运动方程简化为具有Pöschl–Teller势的微分方程。得到了准正规频率的解析公式。然后使用解析公式调查广义黑洞时空的强宇宙审查猜想（SCC），以获取平滑的初始数据。发现黑洞参数空间的某些区域（包括广义相对论中的黑洞）违反了SCC的Christodoulou版本，而SCC的\（C ^ {1} \）版本始终有效。