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<p>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.</p>

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Rigidity of the extremal Kerr–Newman horizon

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年2月11日

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  • Alex Colling,
  • David Katona,
  • James Lucietti

摘要

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.