Rigidity of the extremal Kerr–Newman horizon
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.
Authors
- David Katona (ORCID: https://orcid.org/0000-0002-5710-0665)
- James Lucietti (ORCID: https://orcid.org/0000-0002-2371-9689)
- Alex Colling (ORCID: https://orcid.org/0009-0009-2627-6519)
Institutions
- University of Cambridge (GB)
- Maxwell Institute for Mathematical Sciences (GB)
Publication Details
- Journal
- Letters in Mathematical Physics
- Published
- 2025-02-11
- DOI
- https://doi.org/10.1007/s11005-025-01902-7
- Citations
- 2
- Primary Topic
- Black Holes and Theoretical Physics
- Type
- article
- Field-Weighted Citation Impact
- 3.74