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On the topology of stationary black holes

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abstract

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.

fields

gr-qc 1

years

2026 1

verdicts

UNVERDICTED 1

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Horizon Multipole Moments of a Kerr Black Hole

gr-qc · 2026-02-05 · 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.

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  • Horizon Multipole Moments of a Kerr Black Hole gr-qc · 2026-02-05 · unverdicted · none · ref 49 · internal anchor

    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.