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Rigidity of the extremal Kerr-Newman horizon (2406.07128v2)

Published 11 Jun 2024 in gr-qc, hep-th, and math.DG

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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