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    Quasitopological gravity and double-copy formalism

    Valeri P. Frolov*

    • Theoretical Physics Institute, Department of Physics, University of Alberta, Edmonton, Alberta T6G 2E1, Canada

    • *Contact author: vfrolov@ualberta.ca

    Phys. Rev. D 113, 064023 – Published 10 March, 2026

    DOI: https://doi.org/10.1103/mbdj-tqtv

    Abstract

    We propose a new approach to the quasitopological theory of gravity based on a modified classical double-copy construction. Focusing on static, spherically symmetric configurations, we show that all vacuum solutions of D-dimensional quasitopological gravity can be obtained from an auxiliary nonlinear electrodynamics defined in a flat (D+1)-dimensional spacetime. The gravitational field equations reduce to an algebraic relation between a primary curvature invariant and the electric field strength, while the remaining dynamics is governed by a Gauss-law constraint for a pointlike charge in the auxiliary space. This correspondence provides a transparent interpretation of higher-curvature gravitational interactions in terms of nonlinear gauge dynamics and explains the absence of higher-derivative terms in the reduced equations. As illustrative examples, we apply the formalism to Born-Infeld- and Hayward-type models, obtaining higher-dimensional regular black-hole solutions with a de Sitter-like core. Our results extend the scope of the double-copy paradigm beyond Einstein gravity and suggest a unifying framework for a broad class of higher-curvature theories.

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