Non-existence of short hairs for static black holes
General Relativity and Quantum Cosmology
2024-02-15 v1 High Energy Physics - Theory
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.
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Cite
@article{arxiv.2402.09044,
title = {Non-existence of short hairs for static black holes},
author = {Soham Acharya and Sudipta Sarkar},
journal= {arXiv preprint arXiv:2402.09044},
year = {2024}
}
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7 pages