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Conformal Transformation in Gravity

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abstract

The conformal transformation in the Einstein - Hilbert action leads to a new frame where an extra scalar degree of freedom is compensated by the local conformal-like symmetry. We write down a most general action resulting from such transformation and show that it covers both general relativity and conformally coupled to gravity scalar field as the particular cases. On quantum level the equivalence between the different frames is disturbed by the loop corrections. New conformal-like symmetry in anomalous and, as a result, the theory is not finite on shell at the one-loop order.

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  • Post-Inflationary Constraints on Nonminimally Coupled Quintessential Inflation gr-qc · 2026-08-05 · conditional · none · ref 75 · internal anchor

    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 near -0.9 to -0.95.