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Charged black holes in quasitopological gravity coupled to Born-Infeld nonlinear electrodynamics

Jose Pinedo Soto1,* and Valeri P. Frolov1,2,†

  • 1Theoretical Physics Institute, Department of Physics, University of Alberta, Edmonton, Alberta, T6G 2E1, Canada
  • 2Kobayashi-Maskawa Institute for the Origin of Particles and the Universe (KMI), Nagoya University, Nagoya 464-8602, Japan

  • *Contact author: pinedoso@ualberta.ca
  • †Contact author: vfrolov@ualberta.ca
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Phys. Rev. D 113, 124044 – Published 12 June, 2026

DOI: https://doi.org/10.1103/8px4-2pyk

Abstract

We construct static, spherically symmetric black hole solutions in quasitopological gravity (QTG) coupled to Born-Infeld nonlinear electrodynamics. Starting from the spherically reduced action, we derive closed-form expressions for the electric field, the nonlinear Lagrangian, and the metric function, the latter involving hypergeometric functions. We consider specific versions of QTG in which vacuum black holes are regular, and show that, for some of these models, charged black holes develop a curvature singularity at a finite radius in their interior. In contrast, in models such as a Born-Infeld-type QTG, charged black holes remain regular. In this case, however, the de Sitter core of the neutral solution is replaced by an anti–de Sitter core. We also discuss several limiting regimes of these solutions.

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Phys. Rev. D 113, 124044– Published 12 June, 2026
  • Received 7 April 2026
  • Accepted 21 May 2026
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