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Planar AdS multi-NUT spacetimes and Kaluza-Klein multimonopoles

Cristóbal Corral1,*, Cristián Erices2,†, Daniel Flores-Alfonso3,‡, and Benjamín Hernandez4,§

  • *Contact author: cristobal.corral@uai.cl
  • †Contact author: cristian.erices@ucentral.cl
  • ‡Contact author: dafa@azc.uam.mx
  • §Contact author: bhernandez2019@udec.cl
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Phys. Rev. D 114, 064067 – Published 21 September, 2026

DOI: https://doi.org/10.1103/9hzw-yngp

Abstract

In higher-dimensional Einstein–anti–de Sitter (AdS) gravity, it is well known that planar and static anti–de Sitter black holes can be endowed with multiple rotation parameters via a large-gauge transformation. However, a similar prescription fails when multiple Newman–Unti–Tamburino (NUT) parameters are added, thereby obstructing the study of holographic properties with more than one NUT charge. To pave the way toward this direction, we construct explicit planar AdS spacetimes having multiple NUT parameters in two simple ways that allow one to circumvent the strong restrictions imposed by the vacuum field equations. First, motivated by momentum relaxation holographic models, we construct multi-NUT spaces in AdS with flat horizons by adding free scalar fields possessing an axionic profile. In our second approach, we build similar configurations in Einstein gravity with quadratic-curvature corrections. We end by presenting planar versions of the Kaluza-Klein monopole in AdS with different magnetic charges. As a byproduct, our strategy yields a simple way to generalize the Gross-Perry-Sorkin monopole to include the cosmological constant.

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Phys. Rev. D 114, 064067– Published 21 September, 2026
  • Received 6 April 2026
  • Accepted 27 August 2026
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