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1/R gravity and Scalar-Tensor Gravity

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arxiv astro-ph/0307338 v3 pith:Y7UVALTB submitted 2003-07-18 astro-ph gr-qchep-ph

classification astro-phgr-qchep-ph
keywords gravityscalarbrans-dickefieldtheoriesarbitrarycaseclass
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We point out that extended gravity theories, the Lagrangian of which is an arbitrary function of scalar curvature $R$, are equivalent to a class of the scalar tensor theories of gravity. The corresponding gravity theory is $\omega=0$ Brans-Dicke gravity with a potential for the Brans-Dicke scalar field, which is not compatible with solar system experiments if the field is very light: the case when such modifications are important recently.

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Cited by 4 Pith papers

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

  1. Ordering-Independent Wheeler-DeWitt Equation for Flat Minisuperspace Models

    hep-th 2025-12 unverdicted novelty 7.0 of 10

    Path-integral measures determine operator orderings for the Wheeler-DeWitt equation in flat minisuperspace models, with all consistent choices yielding identical physical observables via field redefinition Jacobians.

  2. Evolving Dark Energy Is Vacuum Energy After All

    astro-ph.CO 2026-06 unverdicted novelty 6.0 of 10

    A QCD-vacuum dark-energy model with a two-parameter switch reproduces the DESI-preferred late-time expansion and is mildly favoured over ΛCDM by Bayesian evidence (lnB≈2.7).

  3. Primordial Black Hole Formation in $f(R)=R+\alpha R^2$ Gravity: Perturbative and Non-Perturbative Analysis

    gr-qc 2026-01 reject novelty 4.0 of 10

    The paper claims a positive R² curvature term accelerates dust collapse and lowers the primordial-black-hole formation threshold, but the quantitative shift and the derived bound on α are not actually computed.

  4. An innovative black hole solution and thermodynamic properties in higher-order curvature gravity with a scalar field

    gr-qc 2025-09 reject novelty 4.0 of 10

    A reverse-engineered modified-Schwarzschild solution in scalar-coupled higher-curvature gravity is presented, whose headline 'weaker singularity' claim is contradicted by its own Kretschmann-scalar results (r^-9 versu...

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