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    Fan-Wang type regular black holes in quasitopological gravity

    Ren Tsuda*

    Ryotaku Suzuki†

    Shinya Tomizawa‡

    • Laboratory of Physics, College of Science and Technology, Nihon University Narashinodai 7-24-1, Funabashi 274-8501, Japan

    • *Contact author: tsuda.ren@chibatech.ac.jp
    • †Contact author: suzuki.ryotaku@nihon-u.ac.jp
    • ‡Contact author: tomizawa@toyota-ti.ac.jp

    Phys. Rev. D 114, 024001 – Published 1 July, 2026

    DOI: https://doi.org/10.1103/q4kl-6d3z

    Abstract

    We construct a class of regular black hole solutions of the Fan-Wang type within quasitopological gravity (QTG) in arbitrary spacetime dimensions greater than four. In contrast to the original Fan-Wang solution, which was obtained in four-dimensional general relativity coupled to nonlinear electrodynamics, our higher-dimensional generalization does not require any matter fields. Instead, regularity is achieved purely through an infinite tower of higher-curvature corrections. We demonstrate that the Fan-Wang-type metric is a solution to the QTG field equations by explicitly determining the corresponding coupling constants for each curvature order. Within an appropriate parameter regime, the solution describes an asymptotically flat black hole spacetime with a regular center. Remarkably, even in the case of negative mass, the geometry can remain completely regular, in sharp contrast to Einstein gravity.

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