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The conformal frame freedom in theories of gravitation

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abstract

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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representative citing papers

Frame invariant diffusive formulation of scalar-tensor gravity

gr-qc · 2026-04-17 · unverdicted · novelty 7.0

Scalar-tensor gravity admits a frame-invariant perfect-fluid description with zero temperature, so that general relativity corresponds to diffusive equilibrium for both minimal and nonminimal theories.

Saturation Mechanisms in the Interacting Dark Sector

astro-ph.CO · 2026-04-23 · unverdicted · novelty 6.0

Nonlinear dark-sector interaction models with a half-saturation sparseness scale are observationally preferred over their linear counterparts at >95% confidence for two of three cases.

The Unknown Face of Scalar-Tensor Gravitational Theories

gr-qc · 2025-03-17 · unverdicted · novelty 5.0

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 passive ones do not.

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