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Revisiting a family of five-dimensional charged, rotating black holes

Marcos R. A. Arcodía1,2,*, Gaston Giribet3,†, and Juan Laurnagaray2,‡

  • *Contact author: marcodia@iafe.uba.ar
  • †Contact author: gaston.giribet@nyu.edu
  • ‡Contact author: jlaurna@gmail.com
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Phys. Rev. D 112, 084026 – Published 10 October, 2025

DOI: https://doi.org/10.1103/zsds-3262

Abstract

In the absence of a higher-dimensional analog to the Kerr-Newman black hole, five-dimensional Einstein-Maxwell theory with a Chern-Simons term has become a natural setting for studying charged, stationary solutions. A prominent example is the Chong-Cvetič-Lü-Pope (CCLP) solution, which describes a nonextremal black hole with electric charge and two independent angular momenta. This solution has been widely studied, and generalizations have been proposed. In this paper, we revisit a large family of five-dimensional black hole solutions to Einstein-Maxwell-Chern-Simons (EMCS) field equations, which admits to be written in terms of a generalized Plebański-Demiański ansatz and includes the CCLP and the Kerr-NUT-anti–de Sitter solutions as particular cases. We show that the complete family can be brought to the CCLP form by means of a suitable coordinate transformation and a complex redefinition of parameters. Then, we compute the conserved charges associated to the CCLP form of the metric by analyzing the near-horizon asymptotic symmetries. We show that the zero mode of the near-horizon charges exactly match the result of the Komar integrals.

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Phys. Rev. D 112, 084026– Published 10 October, 2025
  • Received 30 April 2025
  • Accepted 21 September 2025
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