The superradiant stability of asymptotically flat higher dimensional non-extremal Reissner-Nordstrom black holes under charged massive scalar perturbation is analytically studied. We extend an analytical method developed by one of the authors in the extremal Reissner-Nordstrom black hole cases to non-extremal cases. Using the new analytical method, we revisit four-dimensional Reissner-Nordstrom black hole case and obtain that four-dimensional Reissner-Nordstrom black hole is superradiantly stable, which is consistent with results in previous works. We then analytically prove that the five-dimensional Reissner-Nordstrom black holes are also superradiantly stable under charged massive scalar perturbation. Our result implies that all higher dimensional non-extremal Reissner-Nordstrom black holes may be superradiantly stable under charged massive scalar perturbation.

分析研究了带电大规模标量扰动下渐近平坦的高维非极值 Reissner-Nordstrom 黑洞的超辐射稳定性。我们将作者之一在极端 Reissner-Nordstrom 黑洞案例中开发的分析方法扩展到非极端案例。使用新的分析方法，我们重新审视了四维 Reissner-Nordstrom 黑洞情况，得到四维 Reissner-Nordstrom 黑洞是超辐射稳定的，这与之前的工作结果一致。然后，我们通过分析证明，五维 Reissner-Nordstrom 黑洞在带电的大规模标量扰动下也是超辐射稳定的。