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A rotating black lens solution in five dimensions

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arxiv 0808.0587 v1 pith:55HASHD3 submitted 2008-08-05 gr-qc hep-th

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keywords blacklensdimensionseitherfivehorizonmustsingularity
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It has recently been shown that a stationary, asymptotically flat vacuum black hole in five space-time dimensions with two commuting axial symmetries must have an event horizon with either a spherical, ring or lens-space topology. In this paper, we study the third possibility, a so-called black lens with L(n,1) horizon topology. Using the inverse scattering method, we construct a black lens solution with the simplest possible rod structure, and possessing a single asymptotic angular momentum. Its properties are then analysed; in particular, it is shown that there must either be a conical singularity or a naked curvature singularity present in the space-time.

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Cited by 2 Pith papers

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

  1. Mass/electric versus NUT/magnetic charges: duality from scattering amplitudes in $D\geq4$ and for all bosonic spins

    hep-th 2026-07 conditional novelty 7.0 of 10

    Kerr-NUT mass/electric and equal-NUT/magnetic charges are dual in D≥4, realized as J_σ ↔ J_−σ in 3-point amplitudes generated by a spin-raising operator for all bosonic spins.

  2. Building multi-BTZ black holes through Riemann-Hilbert problem

    hep-th 2025-06 conditional novelty 6.0 of 10

    The paper systematically constructs known multi-BTZ black hole solutions from a flat-space seed via Riemann-Hilbert factorization and SO(4,4) transformations.

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