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.
Conformal Transformations and Weak Field Limit of Scalar-Tensor Gravity
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abstract
The weak field limit of scalar tensor theories of gravity is discussed in view of conformal transformations. Specifically, we consider how physical quantities, like gravitational potentials derived in the Newtonian approximation for the same scalar-tensor theory, behave in the Jordan and in the Einstein frame. The approach allows to discriminate features that are invariant under conformal transformations and gives contributions in the debate of selecting the true physical frame. As a particular example, the case of $f(R)$ gravity is considered.
fields
gr-qc 3years
2025 3verdicts
UNVERDICTED 3representative citing papers
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