Rigidity of the extremal Kerr-Newman horizon
arXiv:2406.07128 · doi:10.1007/s11005-025-01902-7
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.
arXiv comment7 pages, v2: published version, references added, no change in results
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