Non-existence of short hairs for static black holes
Source
arXiv
ISSN
2331-8422
Date Issued
2024-02-01
Author(s)
Acharya, Soham
Sarkar, Sudipta
Abstract
The black hole no-short hair theorem establishes a universal lower bound on the extension of hairs outside any 4-dimensional spherically symmetric black hole solutions. We generalise this theorem beyond spherical symmetry, specifically for static, axisymmetric hairy black hole solutions and prove that the ``hairosphere'' must extend beyond the radial extent of the innermost light ring.
