Remarks on stationary vacuum black holes
General Relativity and Quantum Cosmology
2023-05-15 v1 Differential Geometry
Abstract
We finish the proof of the no-hair theorem for stationary, analytic, connected, suitably regular, four dimensional vacuum black holes. We show how to define the surface gravity and the angular velocity of horizons without assuming analyticity. We point out that, under the usual regularity conditions, vacuum near-horizon geometries are Kerrian without assuming analyticity.
Keywords
Cite
@article{arxiv.2305.07329,
title = {Remarks on stationary vacuum black holes},
author = {Piotr T. Chruściel},
journal= {arXiv preprint arXiv:2305.07329},
year = {2023}
}