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arXiv · 2406.07128

Rigidity of the extremal Kerr-Newman horizon

Alex Colling·David Katona·James Lucietti
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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.

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Alex Colling, David Katona, James Lucietti. 2024-06-11. Rigidity of the extremal Kerr-Newman horizon. https://doi.org/10.1007/s11005-025-01902-7

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