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Gravity with a generalized conformal scalar field: Theory and solutions

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arxiv 2105.04687 v2 pith:YVO3YR3A submitted 2021-05-10 gr-qc hep-th

Pedro G. S. Fernandes This is my paper · ORCID
classification gr-qchep-th
keywords theoryfieldgravityscalarsolutionsactionconformalequation
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We naturally extend the theory of gravity with a conformally coupled scalar field by only requiring conformal invariance of the scalar field equation of motion and not of the action. The classically extended theory incorporates a scalar-Gauss-Bonnet sector and has second-order equations of motion, belonging to the Horndeski class. Remarkably, the theory features a purely geometrical field equation that allows for closed-form black hole solutions and cosmologies to be easily found. These solutions permit investigations of in-vogue scalar-Gauss-Bonnet corrections to the gravitational action without the need of resorting to approximations or numerical methods. We discuss on the connection to the recently formulated 4D Einstein-Gauss-Bonnet theory of gravity.

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Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Degenerate higher-order Maxwell-Einstein theories

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    A complete classification of quadratic degenerate Maxwell-Einstein theories is given, including a new theory that generalizes Horndeski's non-minimal coupling to gauge fields.

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    The trace anomaly effective action reproduces Einstein-Gauss-Bonnet Friedmann equations and perturbation spectra on FRW backgrounds with a specific scalar field solution.

  3. D-dimensional black holes in extended Gauss-Bonnet gravity

    gr-qc 2025-08 conditional novelty 5.0 of 10

    Charged and rotating anti-de Sitter black hole solutions are constructed in extended Gauss-Bonnet gravity for dimensions three, four, five and higher.

  4. Primary scalar hair in Gauss-Bonnet black holes with Thurston horizons

    hep-th 2024-12 conditional novelty 5.0 of 10

    In Einstein-Gauss-Bonnet gravity at the Chern-Simons point, exact asymptotically locally AdS5 black holes with primary scalar hair exist for Nil, Solv, and SL(2,R) Thurston horizon geometries.

  5. The lack of influence of the scalar hair on the DC conductivity

    hep-th 2024-12 conditional novelty 4.0 of 10

    The DC conductivity of beyond-Horndeski axionic black holes is shown to be independent of the primary scalar hair parameter, depending only on horizon data and axion and charge parameters.

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