Fake Conformal Symmetry in Conformal Cosmological Models

TL;DR

This paper investigates local conformal invariance in certain cosmological models and finds that the associated symmetry has no dynamical role due to vanishing Noether currents.

Contribution

It demonstrates that Weyl invariance in these models is non-dynamical, challenging the assumed significance of conformal symmetry in conformal cosmology.

Findings

Noether currents for Weyl invariance vanish

Weyl symmetry does not influence dynamics

Conformal invariance is non-dynamical in these models

Abstract

We examine the local conformal invariance (Weyl invariance) in tensor-scalar theories used in recently proposed conformal cosmological models. We show that the Noether currents associated with Weyl invariance in these theories vanish. We assert that the corresponding Weyl symmetry does not have any dynamical role.