Constraining f(R) Gravity as a Scalar Tensor Theory

Abstract

We search for viable f(R) theories of gravity, making use of the equivalence between such theories and scalar-tensor gravity. We find that models can be made consistent with solar system constraints either by giving the scalar a high mass or by exploiting the so-called chameleon effect. However, in both cases, it appears likely that any late-time cosmic acceleration will be observationally indistinguishable from acceleration caused by a cosmological constant. We also explore further observational constraints from, e.g., big bang nucleosynthesis and inflation.

15 pages, 5 figures

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Cited by in corpus (294)

• f(R) Theories Of Gravity
• Modified Gravity and Cosmology
• f(R) theories
• f(R,T) gravity
• Beyond the Cosmological Standard Model
• Cosmology and Fundamental Physics with the Euclid Satellite
• Extra force in $f(R)$ modified theories of gravity
• Cosmology and fundamental physics with the Euclid satellite
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• Dark Energy
• f(R,L_m) gravity
• Wormhole geometries in f(R) modified theories of gravity
• The Physics of Cosmic Acceleration
• 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
• A Parameterized Post-Friedmann Framework for Modified Gravity
• Construction of cosmologically viable f(G) gravity models
• Inflationary paradigm in trouble after Planck2013
• Spherically symmetric solutions in f(R)-gravity via Noether Symmetry Approach
• f(R) Gravity and Chameleon Theories
• Modified gravity with arbitrary coupling between matter and geometry
• Solar system and equivalence principle constraints on f(R) gravity by chameleon approach
• Modified gravity models of dark energy
• Phantom crossing, equation-of-state singularities, and local gravity constraints in f(R) models
• The future evolution and finite-time singularities in $F(R)$-gravity unifying the inflation and cosmic acceleration
• Curing singularities in cosmological evolution of F(R) gravity
• Stellar structure models in modified theories of gravity: lessons and challenges
• Non-linear Evolution of f(R) Cosmologies III: Halo Statistics
• Dark matter as a geometric effect in f(R) gravity
• Effective gravitational couplings for cosmological perturbations in the most general scalar-tensor theories with second-order field equations
• The Dilaton and Modified Gravity
• Causes of Irregular Energy Density in $f(R,T)$ Gravity
• Dark energy in Horndeski theories after GW170817: A review
• A Unified Description of Screened Modified Gravity
• Non-linear evolution of f(R) cosmologies II: power spectrum
• Linearized f(R) Gravity: Gravitational Radiation & Solar System Tests
• Neutron Stars in f(R) Gravity with Perturbative Constraints
• Relativistic stars in f(R) gravity, and absence thereof
• $f(R,T_{\mu \nu }{T}^{\mu \nu })$ gravity and Cardassian-like expansion as one of its consequences
• Junction Conditions in f(R) Theories of Gravity
• Generalized Galileon cosmology
• Constraining Interactions in Cosmology's Dark Sector
• Weak Lensing Probes of Modified Gravity
• Constraints on scalar-tensor models of dark energy from observational and local gravity tests
• The matter Lagrangian and the energy-momentum tensor in modified gravity with non-minimal coupling between matter and geometry
• Cosmological Constraints on f(R) Acceleration Models
• Solar system constraints on f(G) gravity models
• Constraints on f(R) gravity from probing the large-scale structure
• Thin accretion disks in f(R) modified gravity models
• Stability of the Einstein static universe in f(R) gravity
• Classifying and avoiding singularities in the alternative gravity dark energy models
• The nonlinear matter and velocity power spectra in f(R) gravity
• Energy conditions in modified Gauss-Bonnet gravity
• Dynamical behavior in mimetic F(R) gravity
• Matter perturbations in Galileon cosmology
• Generalized virial theorem in f(R) gravity
• Density perturbations in general modified gravitational theories
• The dispersion of growth of matter perturbations in f(R) gravity
• Aspects of cosmological expansion in F(R) gravity models
• Density perturbations in f(R) gravity theories in metric and Palatini formalisms
• Relativistic stars in f(R) and scalar-tensor theories
• Adiabatic instability in coupled dark energy-dark matter models
• Thermodynamics in $F(R)$ gravity with phantom crossing
• Inflation in the Mixed Higgs-$R^2$ Model
• Cluster Density Profiles as a Test of Modified Gravity
• Scalaron the mighty: producing dark matter and baryon asymmetry at reheating
• Variable gravity Universe
• Black hole solutions in F(R) gravity with conformal anomaly
• Dark energy, inflation and dark matter from modified F(R) gravity
• Exact solutions of f(R) gravity coupled to nonlinear electrodynamics
• Selected topics in scalar-tensor theories and beyond
• Validation of Energy Conditions in Wormhole Geometry within Viable $f(R)$ Gravity
• Inflation and non-minimal scalar-curvature coupling in gravity and supergravity
• Initial and final de Sitter universes from modified $f(R)$ gravity
• Can higher curvature corrections cure the singularity problem in f(R) gravity?
• The Cosmology of Ricci-Tensor-Squared Gravity in the Palatini Variational Approach
• Hydrogen atom in Palatini theories of gravity
• Modeling halo mass functions in chameleon f(R) gravity
• A Unified Approach to Cosmic Acceleration
• Generalized Brans-Dicke theories
• Neutron star mergers as a probe of modifications of general relativity with finite-range scalar forces
• Chameleons with Field Dependent Couplings
• Delicate f(R) gravity models with disappearing cosmological constant and observational constraints on the model parameters
• Dynamics of the anisotropic Kantowsky-Sachs geometries in $R^n$ gravity
• Gluonic vacuum, q-theory, and the cosmological constant
• Equilibrium thermodynamics in modified gravitational theories
• Hamiltonian Formulation of Palatini f(R) theories a la Brans-Dicke
• On the violent preheating in the mixed Higgs-$R^2$ inflationary model
• Modified Gravity Tomography
• Wormhole Modeling Supported by Non-Exotic Matter
• How (Not) to Palatini
• Chameleon f(R) gravity in the virialized cluster
• Matter instabilities in general Gauss-Bonnet gravity
• $f(R)$ gravity constrained by PPN parameters and stochastic background of gravitational waves
• Tests of Modified Gravity with Dwarf Galaxies
• Scalar induced gravitational waves from primordial black hole Poisson fluctuations in $f(R)$ gravity
• Constraining f(R) gravity in solar system, cosmology and binary pulsar systems
• The effect of modified gravity on weak lensing
• Chameleon dark energy models with characteristic signatures
• 6+1 lessons from f(R) gravity
• A sub-horizon framework for probing the relationship between the cosmological matter distribution and metric perturbations
• Energy-momentum complexes in f(R) theories of gravity
• New interactions in the dark sector mediated by dark energy
• Screening the fifth force in the Horndeski's most general scalar-tensor theories
• Stability analysis for cosmological models in $f(R)$ gravity using dynamical system analysis
• Stellar configurations in f(R) theories of gravity
• Chameleon scalar fields in relativistic gravitational backgrounds
• Cosmological dynamics in f(R) gravity
• The Integrated Sachs-Wolfe effect in $f(R)$ gravity
• Systematic biases on galaxy haloes parameters from Yukawa-like gravitational potentials
• The post-Newtonian limit in C-theories of gravitation
• Revisiting chameleon gravity - thin-shells and no-shells with appropriate boundary conditions
• The Polarizations of Gravitational Waves
• Constraints on f(R) theory and Galileons from the latest data of galaxy redshift surveys
• Quasinormal Modes and GUP-Corrected Hawking Radiation of BTZ Black Holes within Modified Gravity Frameworks
• R^2-inflation with conformal SM Higgs field
• Dark energy: investigation and modeling
• New Gravitational Scales in Cosmological Surveys
• Hierarchical clustering in chameleon $f(R)$ gravity
• Radioscience simulations in General Relativity and in alternative theories of gravity
• Cyclic and heteroclinic flows near general static spherically symmetric black holes
• Cosmic acceleration from modified gravity with Palatini formalism
• Modified Einstein's gravity as a possible missing link between sub- and super-Chandrasekhar type Ia supernovae
• Cosmological perturbation in f(R,G) theories with a perfect fluid
• Two-loop corrections to Starobinsky-Higgs inflation
• A Panorama of Viable $F(R)$ Gravity Dark Energy Models
• Generalised Ellis-Bronnikov Wormholes in $f(R)$ Gravity
• Pre-Inflationary Bounce Effects on Primordial Gravitational Waves of $f(R)$ Gravity
• An Exponential F(R) Dark Energy Model
• Combined cosmological and solar system constraints on chameleon mechanism
• Neutron stars in $f(R)$ gravity and scalar-tensor theories
• Constraints on $f(R)$ theories of gravity from GW170817
• Chameleons in the Early Universe: Kicks, Rebounds, and Particle Production
• Standard Cosmological Evolution in a Wide Range of f(R) Models
• Free scalar dark matter candidates in R^2-inflation: the light, the heavy and the superheavy
• Perihelion precession for modified Newtonian gravity
• Gravitational Waves in Viable f(R) Models
• Affleck-Dine Leptogenesis from Higgs Inflation
• Post-Newtonian parameters and cosmological constant of screened modified gravity
• Catastrophic Consequences of Kicking the Chameleon
• Spherical Symmetric Solution in f(R) Model Around Charged Black Hole
• Generalized Israel Junction Conditions for a Fourth-Order Brane World
• On $f(R)$ gravity in scalar-tensor theories
• Cosmological attractor inflation from the RG-improved Higgs sector of finite gauge theory
• Solar system tests of f(R) gravity
• f(R) gravity constraints from gravitational waves
• Type II Seesaw Leptogenesis
• Effective field theory of modified gravity on the spherically symmetric background: leading order dynamics and the odd-type perturbations
• Probing the dark matter issue in f(R)-gravity via gravitational lensing
• f(R) as a dark energy fluid
• Cosmological perturbation theory in Generalized Einstein-Aether models
• Embedded Class-I Solution of Compact Stars in $f(R)$ Gravity with Karmarkar Condition
• R^n gravity and the chameleon
• Magnetogenesis during inflation and preheating in the Starobinsky model
• Cosmological data analysis of f(R) gravity models
• Nonlinear preheating with nonminimally coupled scalar fields in the Starobinsky model
• Thick branes with inner structure in mimetic $f(R)$ gravity
• $R^2$ Inflation Revisited and Dark Energy Corrections
• The Influence of Galaxy Formation Physics on Weak Lensing Tests of General Relativity
• Cyclic cosmology in modified gravity
• Inspiral gravitational waveforms from compact binary systems in Horndeski gravity
• Cosmological Large-scale Structures beyond Linear Theory in Modified Gravity
• Modified Gravity: the CMB, Weak Lensing and General Parameterisations
• Second-order matter density perturbations and skewness in scalar-tensor modified gravity models
• Amplification of the Primordial Gravitational Waves Energy Spectrum by a Kinetic Scalar in $F(R)$ Gravity
• Real- and redshift-space halo clustering in $f(R)$ cosmologies
• Do cosmological data rule out $f(\mathcal{R})$ with $w\ne -1$?
• Testing f(R) gravity models with quasar X-ray and UV fluxes
• Multi-field effects in a simple extension of $R^2$ inflation
• Weak lensing peak count as a probe of f(R) theories
• Observational Bounds on Modified Gravity Models
• Local Gravity Constraints and Power Law f(R) Theories
• A viable logarithmic f(R) model for inflation
• Rate of gravitational inflaton decay via gauge trace anomaly
• Graviton Creation by Small Scale Factor Oscillations in an Expanding Universe
• Early Modified Gravity: Implications for Cosmology
• Reconstructing f(R) Gravity from a Chaplygin Scalar Field in de Sitter Spacetimes
• Running of the Spectral Index and Inflationary Dynamics of $F(R)$ Gravity
• Gravitational modulated reheating and non-Gaussianity in Supergravity R^2 inflation
• Signatures of Modified Gravity on the 21-cm Power Spectrum at Reionisation
• Solar System tests and chameleon effect in f (R) gravity
• Equivalence Principle in Chameleon Models
• No quasi-stable scalaron lump forms after $R^2$ inflation
• Amplification of Primordial Gravitational Waves by a Geometrically Driven non-canonical Reheating Era
• Nonlinearities in modified gravity cosmology I: signatures of modified gravity in the nonlinear matter power spectrum
• Late Time Cosmological Evolution in f(R) theories with Ordinary and Collisional Matter
• $f(R)$-Gravity Generated Post-inflationary Eras and their Effect on Primordial Gravitational Waves
• Multi-field formulation of gravitational particle production after inflation
• Gibbons-Hawking Boundary Terms and Junction Conditions for Higher-Order Brane Gravity Models
• Unexplored regions in teleparallel $f(T)$ gravity: Sign-changing dark energy density
• Cosmological evolution of thermal relic particles in $f(R)$ gravity
• Post-inflationary preheating with weak coupling
• Density perturbations in $f(R,\varphi )$-gravity with an application to the (varying power)-law model
• Tabletop potentials for inflation from $f(R)$ gravity
• Stability and Space Phase Analysis in f(R) theory with Generalized Exponential model
• Testing Alternative Theories of Dark Matter with the CMB
• Cosmology of Chameleons with Power-Law Couplings
• Revisiting The Coincidence Problem in $f(R)$ Gravitation
• Lepton Flavour Violation Tests of Type II Seesaw Leptogenesis
• Future constraints on the Hu-Sawicki modified gravity scenario
• Stable, Accelerating Universes in Modified Gravity
• A study of perturbations in scalar-tensor theory using 1+3 covariant approach
• Unification of inflation and dark matter in the Higgs-Starobinsky model
• Static Spherically Symmetric Solution of (R +- μ^4/R) Gravity
• An updated analysis of two classes of f(R) theories of gravity
• Constraint propagation equations of the 3+1 decomposition of f(R) gravity
• On multifluid perturbations in scalar-tensor cosmology
• Cosmological dynamics of magnetic Bianchi I in viable $f(R)$ models of gravity
• Cosmologically viable generalized Einstein-Aether theories
• Distortion of the standard cosmology in R+R^2 theory
• Primordial Black Hole Merger Rate in $f(R)$ Gravity
• Constraining f(R) gravity with cross-correlation of galaxies and cosmic microwave background lensing
• Starobinsky Inflation and beyond in Einstein-Cartan Gravity
• Problems with Modified Theories of Gravity, as Alternatives to Dark Energy
• Power-law solutions and accelerated expansion in scalar-tensor theories
• Dynamical analysis in regularized $4D$ Einstein-Gauss-Bonnet gravity with non-minimal coupling
• Equivalence Principle (EP) and Solar System Constraints on $R(1\pm \epsilon \ln (\frac{R}{R_c}))$ model of Gravity
• Accurate Computation of the Screening of Scalar Fifth Forces in Galaxies
• Constraining Chameleon screening using galaxy cluster dynamics
• Solar System Constraints on a Cosmologically Viable $f(R)$ Theory
• Non-minimal coupling influence on the deviation from de Sitter cosmological expansion
• On the stability of spherically symmetric spacetimes in metric f(R) gravity
• Chameleonic Theories: A Short Review
• How CMB and large-scale structure constrain chameleon interacting dark energy
• Hamiltonian perturbation theory in f(R) gravity
• Production of gravitational waves during preheating in the Starobinsky inflationary model
• Conformal and Affine Hamiltonian Dynamics of General Relativity
• Imprint of modified Einstein's gravity on white dwarfs: Unifying type Ia supernovae
• Higgs Inflation, Vacuum Stability, and Leptogenesis
• Joint Analysis of Constraints on f(R) Parametrization from Recent Cosmological Observations
• Notes on the post-Newtonian limit of massive Brans-Dicke theory
• Gluon condensate, modified gravity, and the accelerating Universe
• Quadratic energy-momentum squared gravity: constraints from big bang nucleosynthesis
• Testing feasibility of scalar-tensor gravity by scale dependent mass and coupling to matter
• Warm Higgs-Starobinsky inflation
• Phantom dark energy with tachyonic instability: metric perturbations
• Black branes in four-dimensional conformal equivalent theories
• Constraints on a $f(R)$ gravity dark energy model with early scaling evolution
• Superheavy dark matter in $R+R^2$ cosmology with conformal anomaly
• Constraints on scalar-tensor theories of gravity from observations
• Reconstruction of f(R) gravity models from observations
• Testing gravity with non-Gaussianity
• The Distinguishability of Interacting Dark Energy from Modified Gravity
• Effective field theory analysis of the self-interacting chameleon
• Frequency shifts induced by light scalar fields
• On Scalaron Decay via the Trace of Energy-Momentum Tensor
• Cosmological singularity theorems for $f(R)$ gravity theories
• Strong and weak gravitational field in $R+{\mu }^4/R$ gravity
• Does Dirac-Born-Infeld Modification Of Quadratic Theories Really Matter?
• Constraining $f(R)$ Theories with Temporal Variation of Fine Structure Constant
• Quantum (in)stability of maximally symmetric space-times
• Thawing F(R) cosmology
• Palatini $f(\mathcal{R},{\mathcal{L}}_m,{\mathcal{R}}_{\mu \nu }{T}^{\mu \nu })$ gravity and its Born-Infeld semblance
• Cosmological Dark sector from a Mimetic-Metric-Torsion perspective
• Mass Modeling and Kinematics of Galaxy Clusters in Modified Gravity
• The coincidence problem in $f(R)$ gravity models
• A New Exponential Gravity
• Inflation in non-local hybrid metric-Palatini gravity
• Vacuum stability of the type II seesaw leptogenesis from inflation
• Perturbations of quasi-Newtonian universes in scalar-tensor gravity
• Modified gravity with disappearing cosmological constant
• Impulsive gravitational waves of massless particles in extended theories of gravity
• Lessons from $T_{\mu }^{\mu }$ on inflation models: two-scalar theory and Yukawa theory
• Cylindrical black hole solutions in $f(\mathcal{R})$ and $f(\mathcal{R},\mathcal{A},A^{\mu \nu }{A}_{\mu \nu })$ modified gravity
• Solar system tests and neutron stars in $f(R)$ gravity revisited
• Realizing the phantom-divide crossing with vector and scalar fields
• Tracking $f(R)$ cosmology
• Notes on the Chameleon Brans-Dicke Gravity
• Vacuum $f(R)$ thick brane solution with a Gaussian warp function
• The gyroscopic frequency of metric $f(R)$ and generalised Brans-Dicke theories: constraints from Gravity Probe-B
• Statefinder diagnosis of nearly flat and thawing non-minimal quintessence
• Inflation constraints for classes of f(R) models
• Cosmic acceleration in asymptotically Ricci flat Universe
• Causal properties of nonlinear gravitational waves in modified gravity
• Superheavy dark matter in $R^2$-cosmology
• Calculations of scalaron decay probabilities
• Cosmological Inflation in a Generalized Unimodular Gravity
• Large-scale structure power spectrum from scalar-tensor gravity
• Euclid: Constraints on f(R) cosmologies from the spectroscopic and photometric primary probes
• Galactic dynamics in the presence of scalaron: A perspective from $\mathbf{f}(\mathbf{R})$ gravity
• Construction of f(R) Gravity Models
• Gravitational attraction of ultra-relativistic matter: A new testbed for modified gravity at the Large Hadron Collider
• Breaking the cosmological invariance of the dark matter halos shape as a new probe of modified gravity
• Dynamics of Solutions of $f(R)$ Theory
• Study of Thermodynamic Quantities in Generalized Gravity Theories
• Conformal Frame dependence on Cosmological Observations in Scalar-Tensor Theories of Gravity
• Cosmological and lunar laser ranging constraints on evolving dark energy in a nonminimally coupled curvature-matter gravity model
• The evolution of universe in the two-scalar theory
• On inflationary parameters in scalar-tensor theories
• Globally Stable Dark Energy in $F(R)$ Gravity
• Linearized Treatment of Scalar perturbations in the Asymptotic Cosmological Model
• Observational constraints on a modified-gravity model with an exponential function of the curvature using the expansion history, the RSD, and the Pantheon+SH0ES data
• Stable massless scalar polarization of f(R) gravity
• Ward identities under the frame transformations in curved spacetime