Rigidity of the extremal Kerr-Newman horizon
General Relativity and Quantum Cosmology
2025-02-14 v2 High Energy Physics - Theory
Differential Geometry
Abstract
We prove that the intrinsic geometry of compact cross-sections of an extremal horizon in four-dimensional Einstein-Maxwell theory must admit a Killing vector field or is static. This implies that any such horizon must be an extremal Kerr-Newman horizon and completes the classification of the associated near-horizon geometries. The same results hold with a cosmological constant.
Keywords
Cite
@article{arxiv.2406.07128,
title = {Rigidity of the extremal Kerr-Newman horizon},
author = {Alex Colling and David Katona and James Lucietti},
journal= {arXiv preprint arXiv:2406.07128},
year = {2025}
}
Comments
7 pages, v2: published version, references added, no change in results