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A note on instabilities of extremal black holes under scalar perturbations from afar

A note on instabilities of extremal black holes under scalar perturbations from afar

In a previous work of the author, it was shown that instabilities of solutions to the wave equation develop asymptotically along the event horizon of extremal Kerr provided a certain expression H0 of the initial data is non-trivial on the horizon. In this note, we remove this restriction by showing …