A viability criterion for modified gravity with an extra force

Abstract

A recently proposed theory of modified gravity with an explicit ``anomalous'' coupling of the Ricci curvature to matter is discussed, and an inequality is derived which expresses a necessary and sufficient condition to avoid the notorius Dolgov-Kawasaki instability.

4 latex pages, to appear in Phys. Rev. D

References in corpus (121)

• 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
• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• 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?
• Phantom Energy and Cosmic Doomsday
• 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
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Relativistic gravitation theory for the MOND paradigm
• New Constraints on ${\Omega }_M$, ${\Omega }_{\Lambda }$, and w from an Independent Set of Eleven High-Redshift Supernovae Observed with HST
• Can the dark energy equation-of-state parameter w be less than -1?
• Extra force in $f(R)$ modified theories of gravity
• Late-time cosmology in (phantom) scalar-tensor theory: dark energy and the cosmic speed-up
• Quantum deSitter cosmology and phantom matter
• Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe
• Unifying phantom inflation with late-time acceleration: scalar phantom-non-phantom transition model and generalized holographic dark energy
• Inhomogeneous Equation of State of the Universe: Phantom Era, Future Singularity and Crossing the Phantom Barrier
• 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
• Conditions for the cosmological viability of f(R) dark energy models
• The phantom menaced: constraints on low-energy effective ghosts
• Are f(R) dark energy models cosmologically viable ?
• The Large Scale Structure of f(R) Gravity
• Black hole mass decreasing due to phantom energy accretion
• 23 High Redshift Supernovae from the IfA Deep Survey: Doubling the SN Sample at z>0.7
• Modified gravity with $\ln R$ terms and cosmic acceleration
• Dark energy cosmology from higher-order, string-inspired gravity and its reconstruction
• Modified gravity and its reconstruction from the universe expansion history
• Post-Newtonian constraints on f(R) cosmologies in Palatini formalism
• Post-Newtonian constraints on f(R) cosmologies in metric formalism
• Unified phantom cosmology: inflation, dark energy and dark matter under the same standard
• 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
• Covariant conservation of energy momentum in modified gravities
• The Power of General Relativity
• Solar System constraints to general f(R) gravity
• The conformal frame freedom in theories of gravitation
• Metric-affine f(R) theories of gravity
• The gravity lagrangian according to solar system experiments
• Phantom cosmologies
• The holographic dark energy in non-flat Brans-Dicke cosmology
• Phantom scalar dark energy as modified gravity: understanding the origin of the Big Rip singularity
• Palatini form of 1/R gravity
• Matter instability in modified gravity
• Solar System tests DO rule out 1/R gravity
• The (pseudo)issue of the conformal frame revisited
• Stability of Cosmological Solution in f(R) Models of Gravity
• Cosmological perturbations in the Palatini formulation of modified gravity
• The stability of modified gravity models
• de Sitter space and the equivalence between f(R) and scalar-tensor gravity
• Solar System experiments do not yet veto modified gravity models
• f(R) actions, cosmic acceleration and local tests of gravity
• The matter power spectrum in f(R) gravity
• MOND and the "Dearth of Dark Matter in Ordinary Elliptical Galaxies"
• Generalized phantom energy
• MOND--theoretical aspects
• Born-Infeld Quantum Condensate as Dark Energy in the Universe
• 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
• Newton law corrections and instabilities in $f(R)$ gravity with the effective cosmological constant epoch
• Generalized Gravity and a Ghost
• The Newtonian limit at intermediate energies
• Phantom Inflation and Primordial Perturbation Spectrum
• Anisotropically Inflating Universes
• Relic Dark energy from Trans-Planckian Regime
• Quantum Stability of a w < - 1 Phase of Cosmic Acceleration
• Viability of f(R) Theories with Additional Powers of Curvature
• The nearly Newtonian regime in Non-Linear Theories of Gravity
• Modified Friedmann Equations in R${}^{-1}$-Modified Gravity
• Phantom Cosmologies
• Phantom-like GCG and the constraints of its parameters via cosmological dynamics
• 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
• The phase space view of f(R) gravity
• Ghost conditions for Gauss-Bonnet cosmologies
• On the Newtonian Limit in Gravity Models with Inverse Powers of R
• Phantom cosmology with general potentials
• The Existence of Godel, Einstein and de Sitter Universes
• Phantom with Born-Infield type Lagrangian
• Spherically symmetric spacetimes in f(R) gravity theories
• Modified gravity as an alternative for Lambda-CDM cosmology
• Phantom k-essence cosmologies
• Post-Newtonian Parameters from Alternative Theories of Gravity
• Phantom Field with O(N) Symmetry in Exponential Potential
• How to Test Stringy Dark Energy?
• Ghost Constraints on Modified Gravity
• Modified gravity and the stability of de Sitter space
• Conformal aspects of Palatini approach in Extended Theories of Gravity
• On the viability of the Palatini form of 1/R gravity
• Exact cosmological solutions of scale-invariant gravity theories
• Newtonian limit of the singular f(R) gravity in the Palatini formalism
• Attractor Behavior of Phantom Cosmology
• Born-Infeld-type phantom on the brane world
• One loop renormalization of the four-dimensional theory for quantum dilaton gravity.
• On the Newtonian limit of Generalized Modified Gravity Models
• de Sitter attractors in generalized gravity
• Modified Dispersion Relations from Closed Strings in Toroidal Cosmology
• Cosmological expansion and the uniqueness of gravitational action
• Consistent long distance modification of gravity from inverse powers of the curvature
• Conformal Transformation in Gravity
• A crucial ingredient of inflation
• Big smash of the universe
• Cosmology with a Nonlinear Born-Infeld type Scalar Field
• Acceleration of the universe in the Einstein frame of a metric-affine f(R) gravity
• Scalar field instability in de Sitter space-time
• The Evolution of Universe with th B-I Type Phantom Scalar Field
• Cosmological perturbations in Palatini modified gravity
• An alternative explanation of the conflict between 1/R gravity and solar system tests
• Horizon Entropy in Modified Gravity
• Coupled oscillators as models of phantom and scalar field cosmologies
• One-loop f(R) Gravitational Modified Models
• Modelling the rotational curves of spiral galaxies with a scalar field
• Modified gravity, Dark Energy and MOND
• The present universe in the Einstein frame, metric-affine R+1/R gravity
• A Note on Energy-Momentum Conservation in Palatini Formulation of L(R) Gravity

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• Theoretical and observational constraints of viable f(R) theories of gravity
• Unveiling the Dynamics of the Universe
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• Aspects of Neutrino Oscillation in Alternative Gravity Theories
• Non-minimal Maxwell-Modified Gauss-Bonnet Cosmologies: Inflation and Dark Energy
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• Perihelion precession for modified Newtonian gravity
• Five-dimensional generalized $f(R)$ gravity with curvature-matter coupling
• Constrained evolution of effective equation of state parameter in non-linear $f(R,L_m)$ dark energy model: Insights from Bayesian analysis of cosmic chronometers and Pantheon samples
• Modified f(G) gravity models with curvature-matter coupling
• Position and frequency shifts induced by massive modes of the gravitational wave background in alternative gravity
• Modeling Transit Dark Energy in $f(R,L_m)$-gravity
• Eguchi-Hanson like space-times in F(R) gravity
• A Study of stable wormhole solution with non-commutative geometry in the framework of linear $f(R,{\mathcal{L}}_m,T)$ gravity
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• Asymptotically Lifshitz black hole solutions in F(R) gravity
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• Tensor perturbations in a general class of Palatini theories
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• Cosmic acceleration with bulk viscosity in an anisotropic $f(R,L_m)$ background
• Cosmological model with linear equation of state parameter in f(R, Lm) gravity
• Dark matter as a dynamic effect due to a non-minimal gravitational coupling with matter
• Cassini and extra force constraints to nonminimally coupled gravity with screening mechanism
• Wormhole solutions under the effect of dark matter in $f(R,L_m)$ gravity
• Bouncing behavior in $f(R,L_m)$ gravity: Phantom crossing and energy conditions
• Remarks on generalized scalar-tensor models of dark energy
• Early and Late-time Cosmic Acceleration in Non-minimal Yang-Mills-$f(G)$ Gravity
• Higher-order gravity in higher dimensions: Geometrical origins of four-dimensional cosmology?
• Boltzmann's $H$-theorem, entropy and the strength of gravity in theories with a nonminimal coupling between matter and geometry
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• Constraining Parameters for the Accelerating Universe in $f(R,{\mathcal{L}}_m)$ Gravity
• Visible and Dark Matter Profiles in a Non-Minimally Coupled Model
• Palatini $f(\mathcal{R},{\mathcal{L}}_m,{\mathcal{R}}_{\mu \nu }{T}^{\mu \nu })$ gravity and its Born-Infeld semblance
• A new source for a braneworld cosmological constant from a modified gravity model in the bulk
• Growth of cosmic perturbations in the modified $f(R,T)$ gravity
• Dynamical Systems Analysis of $f(R,L_m)$ Gravity Model
• Quasi-Topological Magnetic Brane coupled to Nonlinear Electrodynamics
• Observational constraints on generic models of non-minimal curvature-matter coupling
• Cosmological and lunar laser ranging constraints on evolving dark energy in a nonminimally coupled curvature-matter gravity model