Black holes have no short hair
Abstract
We show that in all theories in which black hole hair has been discovered, the region with non-trivial structure of the non-linear matter fields must extend beyond 3/2 the horizon radius, independently of all other parameters present in the theory. We argue that this is a universal lower bound that applies in every theory where hair is present. This no short hair conjecture is then put forward as a more modest alternative to the original no hair conjecture, the validity of which now seems doubtful.
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