It has been claimed that in a test of an asymptotically AdS version of weakcosmic censorship conjecture by attempting to overspin a BTZ black hole withtest particles, one finds that it is not possible to spin-up the black holepast its extremal limit. The result of this analysis is restricted to the casewhere the initial black hole is extremal. We extend this analysis to find thatmassive test particles can overspin the black hole, if we start with a nearlyextremal black hole, instead. We also consider the interaction of the BTZ blackhole with test fields. We show that overspinning of nearly extremal black holesis possible whether or not there is superradiance for the field. If there issuperradiance, overspinning occurs in a narrow range of frequencies boundedbelow by the super-radiant limit. However, if there is no superradiance for thefield, overspinning becomes generic and also applies to extremal black holes.This is in analogy with the Kerr case.
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