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Multi-centered rotating black holes in Kaluza-Klein theory

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arxiv 2311.17730 v2 pith:XUBGD4LF submitted 2023-11-29 gr-qc

classification gr-qc
keywords blackholesgeneralkaluza-kleinrotatingsolutiontheoryextremal
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The most general charged and rotating black hole in Kaluza-Klein theory is known to be described by the Rasheed-Larsen solution. When the under-rotating extremal limit of this solution is taken, it falls into a general class of solutions of Kaluza-Klein theory found by Cl\'ement, and is specified by two harmonic functions on a three-dimensional flat base space. We use this fact to generalise the single extremal black hole solution to one describing an arbitrary superposition of such black holes. These black holes carry non-zero electric and magnetic charges, which we set to be equal for simplicity, and are in general rotating with parallel or anti-parallel spin vectors. It is checked that the space-time outside the black holes is free of pathologies such as naked singularities and closed time-like curves.

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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. Multi-rotating black holes with non-aligned angular momenta in 5D Kaluza-Klein theory

    hep-th 2026-07 conditional novelty 6.0 of 10

    Exact multi-centered rotating dyonic black holes with non-aligned angular momenta exist in 5D KK theory and remain regular (no curvature singularities or CTCs) when |J_i| < |P_i Q_i|.

  2. Spinning generalizations of Majumdar-Papapetrou multi-black hole spacetimes: light rings, lensing and shadows

    gr-qc 2025-02 conditional novelty 6.0 of 10

    For the Teo-Wan two-black-hole spacetime, light rings merge and annihilate in pairs, giving total counts of 4, 6, or 8, and the shadows mimic double-Kerr.

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