Quasinormal modes of maximally charged black holes

A new algorithm for computing the accurate values of quasinormal frequencies of extremal Reissner-Nordstrom black holes is presented. The numerically computed values are consistent with the values earlier obtained by Leaver and those obtained through the WKB method. Our results are more precise than other results known to date. We also find the curious fact that the resonant frequencies of gravitational waves with a multipole index l coincide with those of electromagnetic waves with a multipole index l-1 in the extremal limit.