中文摘要：

研究了带电标量场扰动下Reissner-Nordstrm-de Sitter时空的超辐射及其稳定性问题。采用经典散射理论推导出了产生超辐射的条件,通过数值计算研究了扰动场随时间的演化情况。研究结果表明,随着时间的演化,带电的标量场在晚期会出现增长,这就意味着Reissner-Nordstrm-de Sitter时空会出现不稳定性。最后证明了这种不稳定性是由超辐射所引起的。

英文摘要：

The superradiance and stability of Reissner-Nordstrm-de Sitter space time under charged scalar field perturbations are studied in this paper.The condition for the superradiance is obtained in the frame of classical scattering theory.The behavior of the field at late time are obtained from a numerical investigation of the time-domain profile of the perturbation.The results show that the charged scalar field will grow at late time,which means that the Reissner-Nordstrm-de Sitter space time can be unstable.And this instability is caused by the superradiance.