Quasitopological gravity and double-copy formalism

2025/12/16 by Valeri P. Frolov, Frolov, Valeri P. · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories

paper · pdf · doi:10.48550/arxiv.2512.14674

openalex publication_date 2025/12/16 · openalex created_date 2025/12/18 · openalex updated_date 2026/07/28

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 non--linear 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 point--like charge in the auxiliary space. This correspondence provides a transparent interpretation of higher--curvature gravitational interactions in terms of non--linear 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.

Citations

• Charged Regular Black Holes From Quasi-topological Gravities in D≥ 5
• Modified Gravity and Regular Black Hole Models
• Birkhoff implies Quasi-topological
• Regular black hole formation in four-dimensional non-polynomial gravities
• Classification of global structures of evaporating regular black holes with infinite periods of time
• Big bounce and black bounce in quasi-topological gravity
• Instability of regular planar black holes in four dimensions arising from an infinite sum of curvature corrections
• Regular black holes from Oppenheimer-Snyder collapse
• Regular black holes inspired by quasi-topological gravity
• A Hybrid Tower-Scalar Model for Regular Black Holes: Neutrino-Sourced Cores and High-Frequency Resonant Signatures
• The SAGEX Review on Scattering Amplitudes, Chapter 2: An Invitation to Color-Kinematics Duality and the Double Copy
• Generalized quasi-topological gravities: the whole shebang
• Review of Born-Infeld electrodynamics
• (Generalized) quasi-topological gravities at all orders
• The Duality Between Color and Kinematics and its Applications
• The Kerr spacetime: A brief introduction

Cited by

• Vaidya-Type Solutions of Quasitopological Gravity Interacting with Nonlinear Electrodynamics
• Buchdahl limits in theories with regular black holes

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• Classical double copy in the black hole mini-superspace
• New framework for classical double copies
• Convolutional double copy in (Anti) de Sitter space
• The double copy as a doppelgänger
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