标题： 球对称的电性抵消尘埃的线性扰动 显示英文标题

标题： Spherically symmetric linear perturbations of electrically counterpoised dust

摘要： 我们研究球对称静态球对称时空的线性扰动，其中物质内容为电荷相反的尘埃。 我们证明流体扰动的演化方程表明流体元素以恒定速度运动。 因此，既没有振荡也没有从背景解的指数偏离。 我们给出了一个明确的例子，表明扰动可能导致黑洞的形成。 显示英文摘要

摘要： We consider spherically symmetric linear perturbations of static spherically symmetric spacetimes where the matter content is ellectrically counterpoised dust. We show that the evolution equation for the fluid perturbation implies that the fluid elements move with constant velocities. Therefore there are neither oscillations nor exponential departure from the background solution. We present an explicit example that shows that the perturbation could lead to the formation of a black hole.