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On non-existence of static vacuum black holes with degenerate components of the event horizon

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arxiv gr-qc/0512041 v1 pith:O4IZREKZ submitted 2005-12-06 gr-qc

Piotr T. Chrusciel , Harvey S. Reall , Paul Tod This is my paper · ORCID
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keywords blackcomponentsdegenerateeventhorizonnon-existencestaticvacuum
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We present a simple proof of the non-existence of degenerate components of the event horizon in static, vacuum, regular, four-dimensional black hole spacetimes. We discuss the generalisation to higher dimensions and the inclusion of a cosmological constant.

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  1. Static vacuum metrics in (4 + 1) dimensions with {\Lambda} < 0 and squashed conformal infinity

    gr-qc 2026-07 conditional novelty 6.0 of 10

    Numerical evidence that every squashed three-sphere conformal infinity admits a unique horizonless static vacuum fill-in and a one-parameter family of black-hole fill-ins in 5D AdS.

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