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The (pseudo)issue of the conformal frame revisited
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The issue of the equivalence between Jordan and Einstein conformal frames in scalar-tensor gravity is revisited, with emphasis on implementing running units in the latter. The lack of affine parametrization for timelike worldlines and the cosmological constant problem in the Einstein frame are clarified, and a paradox in the literature about cosmological singularities appearing only in one frame is solved. While, classically, the two conformal frames are physically equivalent, they seem to be inequivalent at the quantum level.
Forward citations
Cited by 11 Pith papers
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Effective scalaron--photon interaction in $f(R)$ gravity
In the Jordan-frame treatment of f(R) gravity the scalaron-photon effective coupling vanishes for m much less than loop-particle masses because the classical-trace diagrams cancel the Fujikawa anomaly term.
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Differential Obstructions to Curvature-Dependent Conformal Transformations
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...
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Post-Inflationary Constraints on Nonminimally Coupled Quintessential Inflation
Gravitational-wave constraints on the reheating temperature rule out single-exponential nonminimally coupled quintessential inflation and require a double-exponential coupling that predicts thawing dark energy with w0...
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Canonical Clock Sectors and Relational Frame Equivalence in Brans--Dicke Theory
Apparent Jordan–Einstein inequivalence after relational deparametrization is a clock-sector mismatch; a frame-adapted canonical chart restores identical reduced Hamiltonians.
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Starobinsky-inflation in asymptotically safe shift-symmetric scalar-tensor theory
Starobinsky inflation rules out two of three non-Gaussian fixed points in asymptotically safe scalar-tensor theories, identifying viable RG trajectories from the remaining fixed point.
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Direct detection of solar chameleons with electron recoil data from XENONnT
XENONnT electron-recoil data bound solar chameleons to log10 β_eff < −6.9, independent of the potential index n for inverse power-law chameleons at the dark-energy scale.
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Could a so far ignored symmetry of the classical laws of gravity explain the cosmological puzzles?
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.
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Interactions of the scalaron dark matter in $f (R)$ gravity
For scalaron dark matter in f(R) gravity, the two-photon decay rate is confirmed at one loop, the resulting extragalactic background spectrum is derived, and the thermal scalaron abundance is shown to be negligible.
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The Unknown Face of Scalar-Tensor Gravitational Theories
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...
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Aspects of Geometrodynamics in the Jordan and Einstein Frames
The Jordan and Einstein frames are connected by a Hamiltonian canonical transformation only after gauge-fixing lapse and shift, and this maps the FJNW naked singularity to the BBMB black hole.
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Conformal form-invariant parametrization of scalar-tensor gravity theories: A critical analysis
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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