标题： 球形带电黑洞内部的零奇点分析研究 显示英文标题

标题： Analytic study of the null singularity inside spherical charged black holes

摘要： 我们从理论上研究了球对称带电黑洞内部柯西视界（CH）奇点的特性，该黑洞被一个自引力的无质量标量场非线性扰动。 我们推导出蓝移因子发散率的精确表达式，即标量场$\Phi$和面积坐标$r$在向外方向的导数。 这两个导数沿收缩的柯西视界增长方式与$1/r$完全相同。 我们的结果在柯西视界奇点的任何位置都有效，直到完全聚焦的点。 这些精确的解析表达式已通过数值验证。 显示英文摘要

摘要： We study analytically the features of the Cauchy horizon (CH) singularity inside a spherically-symmetric charged black hole, nonlinearly perturbed by a self-gravitating massless scalar field. We derive exact expressions for the divergence rate of the blue-shift factors, namely the derivatives in the outgoing direction of the scalar field $\Phi$ and the area coordinate $r$. Both derivatives are found to grow along the contracting CH exactly like $1/r$. Our results are valid everywhere along the CH singularity, up to the point of full focusing. These exact analytic expressions are verified numerically.