The (pseudo)issue of the conformal frame revisited

Abstract

The issue of the equivalence between Jordan and Einstein conformal frames in scalar-tensor gravity is revisited, with emphasis on implementing running units in the latter. The lack of affine parametrization for timelike worldlines and the cosmological constant problem in the Einstein frame are clarified, and a paradox in the literature about cosmological singularities appearing only in one frame is solved. While, classically, the two conformal frames are physically equivalent, they seem to be inequivalent at the quantum level.

arXiv comment29 pages, latex, to appear in Phys. Rev. D

References in corpus (79)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Type Ia Supernova Discoveries at z>1 From the Hubble Space Telescope: Evidence for Past Deceleration and Constraints on Dark Energy Evolution
• Discovery of a Supernova Explosion at Half the Age of the Universe and its Cosmological Implications
• Is Cosmic Speed-Up Due to New Gravitational Physics?
• Modified gravity with negative and positive powers of the curvature: unification of the inflation and of the cosmic acceleration
• Cosmological Results from High-z Supernovae
• New Constraints on ${\Omega }_M$, ${\Omega }_{\Lambda }$, and w from an Independent Set of Eleven High-Redshift Supernovae Observed with HST
• Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe
• Reconstruction of a scalar-tensor theory of gravity in an accelerating universe
• Can modified gravity explain accelerated cosmic expansion?
• Cosmological viability of f(R)-gravity as an ideal fluid and its compatibility with a matter dominated phase
• 1/R gravity and Scalar-Tensor Gravity
• The Cosmology of Generalized Modified Gravity Models
• Dilaton Gravity in Two Dimensions
• 23 High Redshift Supernovae from the IfA Deep Survey: Doubling the SN Sample at z>0.7
• One-loop f(R) gravity in de Sitter universe
• Modified gravity with $\ln R$ terms and cosmic acceleration
• On Physical Equivalence between Nonlinear Gravity Theories
• Dark energy cosmology from higher-order, string-inspired gravity and its reconstruction
• Post-Newtonian constraints on f(R) cosmologies in metric formalism
• Post-Newtonian constraints on f(R) cosmologies in Palatini formalism
• Extended Gravity Theories and the Einstein-Hilbert Action
• 1/R Curvature Corrections as the Source of the Cosmological Acceleration
• Covariant conservation of energy momentum in modified gravities
• The Power of General Relativity
• The conformal frame freedom in theories of gravitation
• The gravity lagrangian according to solar system experiments
• Fixed Points of Higher Derivative Gravity
• Palatini form of 1/R gravity
• Cosmological perturbations in the Palatini formulation of modified gravity
• The stability of modified gravity models
• Quintessence, super-quintessence and observable quantities in Brans-Dicke and non-minimally coupled theories
• The matter power spectrum in f(R) gravity
• PPN-limit of Fourth Order Gravity inspired by Scalar-Tensor Gravity
• The Force of Gravity from a Lagrangian containing Inverse Powers of the Ricci Scalar
• Ghosts, Instabilities, and Superluminal Propagation in Modified Gravity Models
• A Preliminary Indication of Evolution of Type Ia Supernovae from their Risetimes
• Generalized Gravity and a Ghost
• The Newtonian limit at intermediate energies
• Anisotropically Inflating Universes
• Cosmological Evolution in 1/R-Gravity Theory
• Viability of f(R) Theories with Additional Powers of Curvature
• The nearly Newtonian regime in Non-Linear Theories of Gravity
• The Cauchy problem of scalar-tensor theories of gravity
• Modified Friedmann Equations in R${}^{-1}$-Modified Gravity
• Palatini Formulation of Modified Gravity with $\ln R$ Terms
• Cosmic Acceleration and Modified Gravitational Models
• On the way from matter-dominated era to dark energy universe
• On the Newtonian Limit in Gravity Models with Inverse Powers of R
• Ghost conditions for Gauss-Bonnet cosmologies
• Constraining Inverse Curvature Gravity with Supernovae
• Post-Newtonian Parameters from Alternative Theories of Gravity
• Ghost Constraints on Modified Gravity
• Conformal aspects of Palatini approach in Extended Theories of Gravity
• On the viability of the Palatini form of 1/R gravity
• Solar system constraints on R${}^n$ gravity
• Newtonian limit of the singular f(R) gravity in the Palatini formalism
• On the Newtonian limit of Generalized Modified Gravity Models
• Consistent long distance modification of gravity from inverse powers of the curvature
• Singularities In Scalar-Tensor Cosmologies
• Scalar field instability in de Sitter space-time
• Horizon Entropy in Modified Gravity
• An alternative explanation of the conflict between 1/R gravity and solar system tests
• Non-minimal couplings, quantum geometry and black hole entropy
• One-loop f(R) Gravitational Modified Models
• Modelling the rotational curves of spiral galaxies with a scalar field
• On the singularities of gravity in the presence of non-minimally coupled scalar fields
• On the Energy-Momentum Tensor of the Scalar Field in Scalar--Tensor Theories of Gravity
• Energy conditions and classical scalar fields
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• Positive specific heat of the quantum corrected dilaton black hole
• Negative energy and stability in scalar-tensor gravity
• Renormalizability of Nonrenormalizable Field Theories
• A Note on Energy-Momentum Conservation in Palatini Formulation of L(R) Gravity
• Brans-Dicke-type theories and avoidance of the cosmological singularity
• The Renormalization Structure and Quantum Equivalence of 2D Dilaton Gravities
• Singularities in scalar-tensor gravity
• Beta decay radiation signature from neutron-rich gamma-ray bursts?

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