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de Sitter space and the equivalence between f(R) and scalar-tensor gravity

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arxiv gr-qc/0703044 v2 pith:HJZ2T5O4 submitted 2007-03-06 gr-qc

Valerio Faraoni (Bishop's University) This is my paper · ORCID
classification gr-qc
keywords gravityscalar-tensorsitterspacemetricperturbationsrespectbrans-dicke
verification ladder T0 review T1 audit T2 compute T3 formal
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It is shown that, when f'' is non-vanishing, metric f(R) gravity is completely equivalent to a scalar-tensor theory (with zero Brans-Dicke parameter) with respect to perturbations of de Sitter space, contrary to previous expectations. Moreover, the stability conditions of de Sitter space with respect to homogeneous and inhomogeneous perturbations coincide in most scalar-tensor theories, as is the case in metric f(R) 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. Unstable de Sitter inflationary solution in sixth-order gravity

    gr-qc 2026-07 conditional novelty 6.0 of 10

    For the sixth-order gravity action (2.1), the exact FLRW de Sitter solution is unstable whenever 3γ1+γ2<0, while the second-order limit admits a stable de Sitter attractor.

  2. 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.

  3. 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.

  4. 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.

  5. Cosmological implications and causality in $f(R, L_{m}, T)$ gravity theory with observational constraints

    gr-qc 2025-01 reject novelty 4.0 of 10

    Four f(R,Lm,T) fluid models are fitted to CC+Pantheon+SH0ES data, but the assumed matter conservation contradicts the theory's field equations.

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