Curvature scalar instability in f(R) gravity

Abstract

An instability in the presence of matter in theories of gravity which include a 1/R correction in the gravitational action has been found by Dolgov and Kawasaki. In the present paper this instability is discussed for f(R) gravity in general. We focus on the Palatini formalism of the theory and it is shown that no such instability occurs in this version of f(R) gravity. The reasons for the appearance of the instability in the metric but not in the Palatini formalism are fully investigated.

arXiv commenttypos corrected, replaced to match published version

References in corpus (27)

• 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
• Can modified gravity explain accelerated cosmic expansion?
• On Physical Equivalence between Nonlinear Gravity Theories
• Dark energy cosmology from higher-order, string-inspired gravity and its reconstruction
• Where new gravitational physics comes from: M-theory?
• Post-Newtonian constraints on f(R) cosmologies in Palatini formalism
• Post-Newtonian constraints on f(R) cosmologies in metric formalism
• Dark Energy Dominance and Cosmic Acceleration in First Order Formalism
• 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
• The Power of General Relativity
• Palatini form of 1/R gravity
• Matter instability in modified gravity
• Solar System experiments do not yet veto modified gravity models
• 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
• The Newtonian limit at intermediate energies
• Viability of f(R) Theories with Additional Powers of Curvature
• The nearly Newtonian regime in Non-Linear Theories of Gravity
• Cosmic Acceleration and Modified Gravitational Models
• Constraining f(R) gravity in the Palatini formalism
• Post-Newtonian Parameters from Alternative Theories of Gravity
• Unification of inflation and cosmic acceleration in the Palatini formalism
• Conformal aspects of Palatini approach in Extended Theories of Gravity
• On the Newtonian limit of Generalized Modified Gravity Models

Cited by in corpus (68)

• f(R) Theories Of Gravity
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Modified Gravity and Cosmology
• f(R) theories
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Beyond the Cosmological Standard Model
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• Palatini Approach to Modified Gravity: f(R) Theories and Beyond
• Conditions for the cosmological viability of f(R) dark energy models
• Unifying inflation with LambdaCDM epoch in modified f(R) gravity consistent with Solar System tests
• Do consistent $F(R)$ models mimic General Relativity plus $\Lambda$?
• Modified f(R) gravity unifying R^m inflation with \LambdaCDM epoch
• Observational signatures of f(R) dark energy models that satisfy cosmological and local gravity constraints
• Further matters in space-time geometry: $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ gravity
• Modified non-local-F(R) gravity as the key for the inflation and dark energy
• Phantom crossing, equation-of-state singularities, and local gravity constraints in f(R) models
• de Sitter space and the equivalence between f(R) and scalar-tensor gravity
• Modified gravity with R-matter couplings and (non-)geodesic motion
• f(R) gravity theories in Palatini formalism: cosmological dynamics and observational constraints
• Cosmological Constraints on f(R) Acceleration Models
• Newton law corrections and instabilities in $f(R)$ gravity with the effective cosmological constant epoch
• A no-go theorem for polytropic spheres in Palatini f(R) gravity
• Density perturbations in f(R) gravity theories in metric and Palatini formalisms
• Spherically symmetric spacetimes in f(R) gravity theories
• Unifying Einstein and Palatini gravities
• The dynamics of metric-affine gravity
• Can f(R) Modified Gravity Theories Mimic a LCDM Cosmology?
• Theory of gravitation theories: a no-progress report
• The viability of theories with matter coupled to the Ricci scalar
• Gravitational Perfect Fluid Collapse in f(R) Gravity
• Curvature singularities, tidal forces and the viability of Palatini f(R) gravity
• Effects of f(R) Model on the Dynamical Instability of Expansionfree Gravitational Collapse
• The Cauchy problem of f(R) gravity
• Anisotropic Fluid and Bianchi Type III Model in f(R) Gravity
• f(R) gravity, torsion and non-metricity
• Accelerating Universe in Modified Theories of Gravity
• Gödel-type universes in f(R) gravity
• Beyond Einstein's General Relativity: Hybrid metric-Palatini gravity and curvature-matter couplings
• 6+1 lessons from f(R) gravity
• Latest supernovae constraints on f(R) cosmologies
• The dynamics of generalized Palatini Theories of Gravity
• Big Bounce cosmology for Palatini $R^2$ gravity with a Nieh-Yan term
• Stability criterion for white dwarfs in Palatini $f(R)$ gravity
• Gödel-type universes in Palatini f(R) gravity
• Anisotropic stress and stability in modified gravity models
• Cosmological phase space of generalized hybrid metric-Palatini theories of gravity
• Homogeneous cosmologies in generalized modified gravity
• Cosmographic constraints on a class of Palatini f(R) gravity
• Future dynamics in f(R) theories
• Expansionfree Fluid Evolution and Skripkin Model in f(R) Theory
• Thermodynamics of Evolving Lorentzian Wormholes at Apparent Horizon in $f(R)$ Theory of Gravity
• Metric gravity theories and cosmology:II. Stability of a ground state in f(R) theories
• Cosmological Consequences of Exponential Gravity in Palatini Formalism
• Observational tests of a two parameter power-law class modified gravity in Palatini formalism
• Cosmic acceleration and $f(R)$ theory: perturbed solution in a matter FLRW model
• Energy conditions in mimetic-$f(R)$ gravity
• Palatini gravity with nonmetricity, torsion, and boundaries in metric and connection variables
• Dynamical reconstruction of the $\Lambda$CDM model in hybrid metric-Palatini gravity
• Matter really does matter, or Why $f(R,\mathrm{Matter})$ type theories are significant for gravitational physics and cosmology
• Cosmography and the redshift drift in Palatini $f(\mathcal{R})$ theories
• 1/R multidimensional gravity with form-fields: stabilization of extra dimensions, cosmic acceleration and domain walls
• Dissipative Cylindrical Collapse of a Charged Anisotropic Fluid in $f(R)$ Gravity
• Asymptotically Weyl-Invariant Gravity
• Propagation and lensing of gravitational waves in Palatini $f(\hat{R})$ gravity
• Gödel-type solutions in $f(R,T,R_{\mu \nu }{T}^{\mu \nu }$) gravity
• A study on causality in $f(R,\varphi ,X)$ theory
• Gravitational wave propagation in generalized hybrid metric-Palatini gravity
• A Falsifiable Alternative to General Relativity