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The conformal frame freedom in theories of gravitation

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arxiv gr-qc/0403063 v3 pith:6Y5A6NVK submitted 2004-03-15 gr-qc astro-phhep-th

classification gr-qcastro-phhep-th
keywords classicalconformalframegravityphysicalpredictionstheoriesanalysis
verification ladder T0 review T1 audit T2 compute T3 formal

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It has frequently been claimed in the literature that the classical physical predictions of scalar tensor theories of gravity depend on the conformal frame in which the theory is formulated. We argue that this claim is false, and that all classical physical predictions are conformal-frame invariants. We also respond to criticisms by Vollick [gr-qc/0312041], in which this issue arises, of our recent analysis of the Palatini form of 1/R gravity.

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Cited by 8 Pith papers

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

  1. Differential Obstructions to Curvature-Dependent Conformal Transformations

    gr-qc 2026-08 accept novelty 6.0 of 10

    Curvature-dependent conformal transformations such as g-tilde = F(R[g])g are not local changes of metric variables: their inverse requires solving a differential equation, so no finite-jet metric-only inverse exists g...

  2. Bridging Superfluid and Nonminimally Coupled BEC Dark Matter through RAQUAL

    gr-qc 2026-07 conditional novelty 6.0 of 10

    SFDM's phonon–baryon force maps onto BECDM's non-minimal Einstein-tensor coupling plus a small Ricci coupling, but the non-analytic kinetic term prevents full dynamical equivalence.

  3. Canonical Clock Sectors and Relational Frame Equivalence in Brans--Dicke Theory

    gr-qc 2026-07 accept novelty 6.0 of 10

    Apparent Jordan–Einstein inequivalence after relational deparametrization is a clock-sector mismatch; a frame-adapted canonical chart restores identical reduced Hamiltonians.

  4. hi_class: Background Evolution, Initial Conditions and Approximation Schemes

    astro-ph.CO 2019-09 accept novelty 6.0 of 10

    hi_class now evolves the background from covariant Horndeski Lagrangians, provides consistent radiation-era initial conditions for scalar perturbations, and applies a quasi-static approximation automatically where it is safe.

  5. Effective field theory interpretation of ATLAS measurements involving the Higgs boson, electroweak bosons and the top quark

    hep-ex 2026-04 conditional novelty 5.0 of 10

    Three nonlinear interacting dark energy models with a saturation ('sparseness') scale are constrained against late-time cosmological data, showing mild preference for nonzero sparseness but no decisive improvement over ΛCDM.

  6. Could a so far ignored symmetry of the classical laws of gravity explain the cosmological puzzles?

    gr-qc 2025-10 unverdicted novelty 5.0 of 10

    Weyl symmetry of gravity is restored if masses transform as m → Ω^{-1}m under conformal changes, allowing any matter to couple invariantly and potentially accounting for dark energy and dark matter.

  7. The Unknown Face of Scalar-Tensor Gravitational Theories

    gr-qc 2025-03 unverdicted novelty 5.0 of 10

    The conformal frame problem in scalar-tensor theories stems from incomplete transformation rules for parameters and overlooked Ward identities; active conformal transformations provide the suitable framework while pas...

  8. Conformal form-invariant parametrization of scalar-tensor gravity theories: A critical analysis

    gr-qc 2025-04 unverdicted novelty 2.0 of 10

    A critical review of conformal form-invariant parametrization in scalar-tensor theories, testing its novelty relative to existing frames and the universality of frame-invariant physical predictions.

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