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We consider solutions to the linear wave equation in the interior region ofextremal Kerr black holes. We show that axisymmetric solutions can be extendedcontinuously beyond the Cauchy horizon and moreover that, if we assume suitablyfast polynomial decay in time along the event horizon, their local energy isfinite. We also extend these results to non-axisymmetric solutions on slowlyrotating extremal Kerr-Newman black holes. These results are the analogues ofresults obtained in [D. Gajic, Linear waves in the interior of extremal blackholes I, arXiv:1509.06568] for extremal Reissner-Nordstr\"om and stand in starkcontrast to previously established results for the subextremal case, where thelocal energy was shown to generically blow up at the Cauchy horizon.

Linear waves in the interior of extremal black holes II