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arxiv: gr-qc/9601020 · v1 · pith:5OLYLOOWnew · submitted 1996-01-12 · 🌀 gr-qc

Black holes have no short hair

Dar\'io N\'u\~nez , Hernando Quevedo , Daniel Sudarsky This is my paper
classification 🌀 gr-qc
keywords hairblackconjectureshorttheoryalternativeappliesargue
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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 {\it no short hair conjecture} is then put forward as a more modest alternative to the original {\it no hair conjecture}, the validity of which now seems doubtful.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Bounds on the photon sphere radius for spherically symmetric black holes in n-dimensional Einstein gravity

    gr-qc 2026-01 unverdicted novelty 6.0

    Upper bound r_γ ≤ [(n-1)M]^{1/(n-3)} and lower bound r_γ ≥ ((n-1)/2)^{1/(n-3)} r_H on the photon sphere for nD black holes with anisotropic matter obeying the weak energy condition and non-positive trace.