On the viability of the Palatini form of 1/R gravity
arXiv:gr-qc/0312041 · doi:10.1088/0264-9381/21/15/N01
Abstract
Recently Flanagan [astro-ph/0308111] has argued that the Palatini form of 1/R gravity is ruled out by experiments such as electron-electron scattering. His argument involves adding minimally coupled fermions in the Jordan frame and transforming to the Einstein frame. This produces additional terms that are ruled out experimentally. Here I argue that this conclusion is false. It is well known that conformally related theories are mathematically equivalent but not physically equivalent. As discussed by Magnano and Sokolowski [2] one must decide, in the vacuum theory, which frame is the physical frame and add the minimally coupled Lagrangian in this frame. If this procedure is followed the resulting theory is not ruled out experimentally. The discussions in this paper also show that the equivalence between the generalized gravitational theories and scalar tensor theories discussed by Flanagan [gr-qc/0309015] is only mathematical, not physical.
5 pages, latex, new references added
References in corpus (6)
- Modified gravity with negative and positive powers of the curvature: unification of the inflation and of the cosmic acceleration
- 1/R gravity and Scalar-Tensor Gravity
- 1/R Curvature Corrections as the Source of the Cosmological Acceleration
- Palatini form of 1/R gravity
- Higher order gravity theories and scalar tensor theories
- Positive specific heat of the quantum corrected dilaton black hole
Cited by in corpus (75)
- Dynamics of dark energy
- f(R) Theories Of Gravity
- Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
- f(R) theories
- Testing General Relativity with Present and Future Astrophysical Observations
- Beyond the Cosmological Standard Model
- Palatini Approach to Modified Gravity: f(R) Theories and Beyond
- The Cosmology of Generalized Modified Gravity Models
- Do consistent models mimic General Relativity plus ?
- One-loop f(R) gravity in de Sitter universe
- Approaches to Understanding Cosmic Acceleration
- Solar System constraints to general f(R) gravity
- The conformal frame freedom in theories of gravitation
- Metric-affine f(R) theories of gravity
- Consistent modified gravity: dark energy, acceleration and the absence of cosmic doomsday
- Dynamics of Linear Perturbations in f(R) Gravity
- Stellar structure models in modified theories of gravity: lessons and challenges
- Matter instability in modified gravity
- Accelerated Cosmological Models in Ricci squared Gravity
- The (pseudo)issue of the conformal frame revisited
- Cosmological perturbations in the Palatini formulation of modified gravity
- Entropy and universality of Cardy-Verlinde formula in dark energy universe
- de Sitter space and the equivalence between f(R) and scalar-tensor gravity
- Cosmological constraints on f(R) gravity theories within the Palatini approach
- Solar System experiments do not yet veto modified gravity models
- The matter power spectrum in f(R) gravity
- Cosmological solutions from Induced Matter Model applied to 5D f(R,T) gravity and the shrinking of the extra coordinate
- f(R) gravity theories in Palatini formalism: cosmological dynamics and observational constraints
- Modified-Source Gravity and Cosmological Structure Formation
- A viability criterion for modified gravity with an extra force
- The Newtonian limit at intermediate energies
- Bouncing Cosmologies in Palatini Gravity
- Accelerated Cosmological Models in First-Order Non-Linear Gravity
- Brans-Dicke Scalar Field as a Chameleon
- Density perturbations in f(R) gravity theories in metric and Palatini formalisms
- Observable traces of non-metricity: new constraints on metric-affine gravity
- Covariant Effective Action for Loop Quantum Cosmology a la Palatini
- The phase space view of f(R) gravity
- Phantom cosmology with general potentials
- Spherically symmetric spacetimes in f(R) gravity theories
- Interacting dark energy in gravity
- Constraining Torsion with Gravity Probe B
- Isotropic and Anisotropic Bouncing Cosmologies in Palatini Gravity
- Viable Palatini-f(R) cosmologies with generalized dark matter
- Dynamical Aspects of Generalized Palatini Theories of Gravity
- Curvature singularities, tidal forces and the viability of Palatini f(R) gravity
- Re-examination of Polytropic Spheres in Palatini f(R) Gravity
- Thermodynamics in gravity in the Palatini formalism
- How (Not) to Palatini
- The interior spacetimes of stars in Palatini f(R) gravity
- The conformal transformation's controversy: what are we missing?
- Frame-Covariant Formulation of Inflation in Scalar-Curvature Theories
- On Higher Order Gravities, Their Analogy to GR, and Dimensional Dependent Version of Duff's Trace Anomaly Relation
- Metric gravity theories and cosmology. I. Physical interpretation and viability
- Acceleration of the universe in the Einstein frame of a metric-affine f(R) gravity
- Dark energy: investigation and modeling
- f(R) gravity constraints from gravitational waves
- Filtering out the cosmological constant in the Palatini formalism of modified gravity
- Effective interactions in Ricci-Based Gravity models below the non-metricity scale
- Cosmological constraints on a classical limit of quantum gravity
- Dark sector impact on gravitational collapse of an electrically charged scalar field
- On the Dirac field in the Palatini form of 1/R gravity
- Diffeomorphism Symmetry in the Lagrangian Formulation of Gravity
- Slice Energy in Higher Order Gravity Theories and Conformal Transformations
- Cosmological Consequences of Exponential Gravity in Palatini Formalism
- Palatini's cousin: A New Variational Principle
- Cassini and extra force constraints to nonminimally coupled gravity with screening mechanism
- Binary systems in Palatini-f(R) gravity
- Modified Regge calculus as an explanation of dark energy
- The cosmological constant filter without big bang singularity
- Black hole stability in Jordan and Einstein frames
- Maximal symmetry and metric-affine f(R) gravity
- Vacuum thick brane solution with a Gaussian warp function
- Thermodynamics of irreversible particle creation phenomena and its cosmological consequence
- Slice Energy and Conformal Frames in Theories of Gravitation