English

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.

Keywords

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}
}

Comments

7 pages