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Kerr-de Sitter Black Holes with NUT Charges

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arxiv hep-th/0601002 v1 pith:RJY2V6FP submitted 2006-01-02 hep-th gr-qc

W. Chen , H. Lu , C.N. Pope This is my paper · ORCID
classification hep-thgr-qc
keywords kerr-adsmetricsblackparameteradditionaladmitcohomogeneitydimensions
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The four-dimensional Kerr-de Sitter and Kerr-AdS black hole metrics have cohomogeneity 2, and they admit a generalisation in which an additional parameter characterising a NUT charge is included. In this paper, we study the higher-dimensional Kerr-AdS metrics, specialised to cohomogeneity 2 by appropriate restrictions on their rotation parameters, and we show how they too admit a generalisation in which an additional NUT-type parameter is introduced. We discuss also the supersymmetric limits of the new metrics. If one performs a Wick rotation to Euclidean spacetime signature, these yield new Einstein-Sasaki metrics in odd dimensions, and Ricci-flat metrics in even dimensions. We also study the five-dimensional Kerr-AdS black holes in detail. Although in this particular case the NUT parameter is trivial, our investigation reveals the remarkable feature that a five-dimensional Kerr-AdS ``over-rotating'' metric is equivalent, after performing a coordinate transformation, to an under-rotating Kerr-AdS metric.

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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. Ricci-flat metrics from gauged linear $\sigma$-models without RG flow

    hep-th 2026-08 conditional novelty 7.0 of 10

    Explicit Ricci-flat Kähler metrics on cones over products of projective spaces are built from gauged linear sigma models whose 'shadow' fields carry negative-signature kinetic terms.

  2. 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.

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