Pith. sign in

REVIEW 7 cited by

Gravity with a generalized conformal scalar field: Theory and solutions

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

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
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
read the original abstract

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.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 7 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

    gr-qc 2025-02 conditional novelty 7.0 of 10

    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.

  2. On the analogue of Einstein-Gauss-Bonnet theory in 3+1 dimensions

    gr-qc 2025-05 conditional novelty 6.0 of 10

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

  3. Inflation with the Trace Anomaly Action and Primordial Black Holes

    hep-th 2024-11 conditional novelty 6.0 of 10

    In the trace anomaly effective theory, the anomalyon's curvature perturbation has a power spectrum growing as k^2, which can seed primordial black holes on short scales.

  4. 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.

  5. 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.

  6. 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.

  7. Weakly-Coupled Trace Anomaly Action for Gravity

    hep-th 2025-05 conditional novelty 3.0 of 10

    The trace anomaly effective action for gravity is not a valid low-energy EFT unless a new sector with spontaneously broken scale invariance adds a kinetic term for the anomalyon scalar.

Pith tools