Palatini f(R) gravity as a fixed point

Abstract

In the context of modified gravity, we point out how the Palatini version of these theories is singled out as a very special case corresponding to the unique fixed point of a transformation involving a special conformal rescaling of the metric. This mathematical peculiarity signals deeply rooted problems which make the theory unphysical.

9 pages, LaTeX, to appear in Phys. Lett. B

References in corpus (25)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• f(R) Theories Of Gravity
• 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?
• 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
• 1/R gravity and Scalar-Tensor Gravity
• 23 High Redshift Supernovae from the IfA Deep Survey: Doubling the SN Sample at z>0.7
• Extended Gravity Theories and the Einstein-Hilbert Action
• f(R) Gravity and scalar-tensor theory
• 1/R Curvature Corrections as the Source of the Cosmological Acceleration
• Metric-affine f(R) theories of gravity
• The (pseudo)issue of the conformal frame revisited
• Higher order gravity theories and scalar tensor theories
• A Preliminary Indication of Evolution of Type Ia Supernovae from their Risetimes
• A no-go theorem for polytropic spheres in Palatini f(R) gravity
• Illusions of general relativity in Brans-Dicke gravity
• The Cauchy problem of f(R) gravity
• How (Not) to Palatini
• Behavior of Friedmann-Robertson-Walker Cosmological Models in Scalar-Tensor Gravity
• The omega-tends-to-infinity limit of Brans-Dicke theory
• Modified Actions for Gravity: Theory and Phenomenology
• Conformal relativity versus Brans-Dicke and superstring theories

Cited by in corpus (16)

• f(R) theories
• Extended Theories of Gravity
• Palatini Approach to Modified Gravity: f(R) Theories and Beyond
• Dynamical behavior in mimetic F(R) gravity
• Palatini formulation of modified gravity with a nonminimal curvature-matter coupling
• The Jebsen-Birkhoff theorem in alternative gravity
• LRS Bianchi type I universes exhibiting Noether symmetry in the scalar-tensor Brans-Dicke theory
• Palatini formulation of the conformally invariant $f\left(R,L_m\right)$ gravity theory
• Scalar field mass in generalized gravity
• Gravity and $T\bar{T}$ flows in higher dimensions
• Cosmographic constraints on a class of Palatini f(R) gravity
• Future dynamics in f(R) theories
• Linearized physics and gravitational-waves polarizations in the Palatini formalism of GBD theory
• Cosmological Consequences of Exponential Gravity in Palatini Formalism
• Whether Lyra's Manifold Itself is a Hidden Source of Dark Energy
• The effective Equation of State in Palatini $f(R)$ cosmology