Fake Conformal Symmetry in Conformal Cosmological 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.

References updated, errors corrected, published in Phys. Rev. D. 4 pages, RevTeX, no figures

References in corpus (2)

• Gauge Natural Formulation of Conformal Theory of Gravity
• Conformal and non Conformal Dilaton Gravity

Cited by in corpus (27)

• Selected topics in scalar-tensor theories and beyond
• Weyl Current, Scale-Invariant Inflation and Planck Scale Generation
• Non-metric geometry as the origin of mass in gauge theories of scale invariance
• Axionic cosmological constant
• Gauge Natural Formulation of Conformal Theory of Gravity
• Note on the bundle geometry of field space, variational connections, the dressing field method, & presymplectic structures of gauge theories over bounded regions
• Dressing vs. Fixing: On How to Extract and Interpret Gauge-Invariant Content
• On Restricted Weyl Symmetry
• Canonical charges and asymptotic symmetry algebra of conformal gravity
• Quantum Scale Invariant Gravity with de Donder Gauge
• Noether charge formalism for Weyl invariant theories of gravity
• Phenomenological signatures of gauge invariant theories of gravity with vectorial nonmetricity
• Noether charge formalism for Weyl transverse gravity
• Universality Classes of Scale Invariant Inflation
• Conformal loop quantum gravity coupled to the Standard Model
• Scale-invariant dynamics in the Solar System
• Cosmological evolution in Weyl conformal geometry
• Quantum Theory of Weyl Invariant Scalar-tensor Gravity
• The Scale Invariant Vacuum Paradigm: Main Results and Current Progress Review (Part II)
• Reassessing the foundations of Metric-Affine Gravity
• Asymptotic conformal symmetry at spatial infinity
• Unconventional Supersymmetry via the Dressing Field Method
• Cosmology in Weyl Transverse Gravity
• Vanishing Noether Current in Weyl Invariant Gravities
• Frozen up Dilaton and the GUT/Planck Mass Ratio
• From DeWitt initial condition to Cosmological Quantum Entanglement
• Revisiting local-scale invariant gravitational theory