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arxiv: gr-qc/9410004 · v1 · submitted 1994-10-05 · 🌀 gr-qc

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On the topology of stationary black holes

P.T. Chrusciel , R.M. Wald
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classification 🌀 gr-qc
keywords stationaryblackconnectedmusttopologyadditionalcommunicationcomponent
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We prove that the domain of outer communication of a stationary, globally hyperbolic spacetime satisfying the null energy condition must be simply connected. Under suitable additional hypotheses, this implies, in particular, that each connected component of a cross-section of the event horizon of a stationary black hole must have spherical topology.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Horizon Multipole Moments of a Kerr Black Hole

    gr-qc 2026-02 unverdicted novelty 7.0

    Horizon multipole moments of a Kerr black hole are computed in closed form from two definitions, yielding different values for l >= 1 at nonzero spin and sharing parity and small-spin scaling with field multipoles.