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Limit to General Relativity in f(R) theories of gravity

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arxiv gr-qc/0612047 v2 pith:5OZWWRHO submitted 2006-12-07 gr-qc astro-phhep-th

Gonzalo J. Olmo This is my paper · ORCID
classification gr-qcastro-phhep-th
keywords representationlimittheoriescosmicequationsgeneralgravitylinearized
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We discuss two aspects of f(R) theories of gravity in metric formalism. We first study the reasons to introduce a scalar-tensor representation for these theories and the behavior of this representation in the limit to General Relativity, f(R)--> R. We find that the scalar-tensor representation is well behaved even in this limit. Then we work out the exact equations for spherically symmetric sources using the original f(R) representation, solve the linearized equations, and compare our results with recent calculations of the literature. We observe that the linearized solutions are strongly affected by the cosmic evolution, which makes very unlikely that the cosmic speedup be due to f(R) models with correcting terms relevant at low curvatures.

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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. Adiabatic Perturbations in GW170817-Compatible Einstein-Gauss-Bonnet Inflation

    gr-qc 2026-08 reject novelty 5.0 of 10

    In Einstein-Gauss-Bonnet inflation, the unconstrained GW170817-compatible models keep perturbations adiabatic, while the constrained class violates adiabaticity in the last few e-foldings.

  2. New interpretation of the Minkowski limit of $R^2$ gravity

    gr-qc 2026-06 unverdicted novelty 5.0 of 10

    The Minkowski limit of pure R² gravity is reinterpreted as a thermal singularity via scalar-tensor to Eckart fluid analogy, showing infinite departure from GR rather than recovery.

  3. ACT Data and Positive Running of the Spectral Index for Scalar Theory and Modified Gravity

    gr-qc 2026-05 unverdicted novelty 5.0 of 10

    Positive running of the spectral index is achievable in Einstein-Gauss-Bonnet gravity with viable inflation, unlike standard scalar field and F(R) models which face challenges.

  4. 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.

  5. Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution

    gr-qc 2017-05 accept novelty 2.0 of 10

    Modified gravity theories supply viable mathematical frameworks for inflation, bounces, and dark energy eras that match observational data.

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