Black holes with infinitely degenerate horizons are proposed to be stable against Aretakis instability, potentially serving as end states.
Hadar,Near-extremal black holes at late times, backreacted,JHEP01(2019) 214 [1811.01022]
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Taming the Aretakis instability: extremal black holes with multi-degenerate horizons
Black holes with infinitely degenerate horizons are proposed to be stable against Aretakis instability, potentially serving as end states.