Quasitopological gravity and double-copy formalism
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866912805574148096 |
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| author | Frolov, Valeri P. |
| author_facet | Frolov, Valeri P. |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2512_14674 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quasitopological gravity and double-copy formalism Frolov, Valeri P. General Relativity and Quantum Cosmology High Energy Physics - Theory 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. |
| title | Quasitopological gravity and double-copy formalism |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2512.14674 |