The pattern of growth in viable f(R) cosmologies

Abstract

We study the evolution of linear perturbations in metric f(R) models of gravity and identify a potentially observable characteristic scale-dependent pattern in the behavior of cosmological structures. While at the background level viable f(R) models must closely mimic LCDM, the differences in their prediction for the growth of large scale structures can be sufficiently large to be seen with future weak lensing surveys. While working in the Jordan frame, we perform an analytical study of the growth of structures in the Einstein frame, demonstrating the equivalence of the dynamics in the two frames. We also provide a physical interpretation of the results in terms of the dynamics of an effective dark energy fluid with a non-zero shear. We find that the growth of structure in f(R) is enhanced, but that there are no small scale instabilities associated with the additional attractive "fifth force". We then briefly consider some recently proposed observational tests of modified gravity and their utility for detecting the f(R) pattern of structure growth.

typos corrected, results unchanged

References in corpus (19)

• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Disappearing cosmological constant in f(R) gravity
• Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe
• 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
• Are f(R) dark energy models cosmologically viable ?
• Do consistent $F(R)$ models mimic General Relativity plus $\Lambda$?
• The Large Scale Structure of f(R) Gravity
• A discriminating probe of gravity at cosmological scales
• The Cosmology of f(R) Gravity in the Metric Variational Approach
• Dynamics of Linear Perturbations in f(R) Gravity
• Matter density perturbations and effective gravitational constant in modified gravity models of dark energy
• The (pseudo)issue of the conformal frame revisited
• Stability of Cosmological Solution in f(R) Models of Gravity
• A f(R) gravity without cosmological constant
• Cosmological Constraints on f(R) Acceleration Models
• Newton law corrections and instabilities in $f(R)$ gravity with the effective cosmological constant epoch
• Constraints on a New Post-General Relativity Cosmological Parameter
• Scalar-tensor cosmology at the general relativity limit: Jordan vs Einstein frame

Cited by in corpus (248)

• 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
• f(R,T) gravity
• Beyond the Cosmological Standard Model
• Cosmology and Fundamental Physics with the Euclid Satellite
• Cosmology and fundamental physics with the Euclid satellite
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• Testing General Relativity in Cosmology
• Observational signatures of f(R) dark energy models that satisfy cosmological and local gravity constraints
• Approaches to Understanding Cosmic Acceleration
• Planck 2015 results. XIV. Dark energy and modified gravity
• Black holes, cosmological solutions, future singularities, and their thermodynamical properties in modified gravity theories
• f(R, T, R_μνT^μν) gravity phenomenology and ΛCDM universe
• f(R) Gravity and Chameleon Theories
• Distinguishing Modified Gravity from Dark Energy
• Modified gravity models of dark energy
• The future evolution and finite-time singularities in $F(R)$-gravity unifying the inflation and cosmic acceleration
• Searching for modified growth patterns with tomographic surveys
• Black Holes in f(R) theories
• Observational Tests of Modified Gravity
• Effective Field Theory of Cosmic Acceleration: an implementation in CAMB
• Testing gravity with CAMB and CosmoMC
• A Singularity Problem with f(R) Dark Energy
• Exponential Gravity
• Non-linear evolution of f(R) cosmologies II: power spectrum
• N-body Simulations for f(R) Gravity using a Self-adaptive Particle-Mesh Code
• Next Generation Cosmology: Constraints from the Euclid Galaxy Cluster Survey
• Non-linear evolution of f(R) cosmologies I: methodology
• The Parameterized Post-Friedmann Framework for Theories of Modified Gravity: Concepts, Formalism and Examples
• Jeans analysis of self-gravitating systems in f(R)-gravity
• Effective Field Theory of Cosmic Acceleration: constraining dark energy with CMB data
• Inflationary cosmology and the late-time accelerated expansion of the universe in non-minimal Yang-Mills-$F(R)$ gravity and non-minimal vector-$F(R)$ gravity
• On the stability of the cosmological solutions in f(R,G) gravity
• Constraints on scalar-tensor models of dark energy from observational and local gravity tests
• How to optimally parametrize deviations from General Relativity in the evolution of cosmological perturbations
• Solar system constraints on f(G) gravity models
• A practical approach to cosmological perturbations in modified gravity
• Constraints on f(R) gravity from probing the large-scale structure
• Thin accretion disks in f(R) modified gravity models
• Crossing of the phantom divide in modified gravity
• Can $f(Q)$ gravity challenge $\Lambda$CDM?
• New constraints on $f(R)$ gravity from clusters of galaxies
• On the evolution of density perturbations in f(R) theories of gravity
• Classifying and avoiding singularities in the alternative gravity dark energy models
• Cosmic Degeneracies I: Joint N-body Simulations of Modified Gravity and Massive Neutrinos
• Parametrized Post-Friedmann Signatures of Acceleration in the CMB
• The dispersion of growth of matter perturbations in f(R) gravity
• Density perturbations in general modified gravitational theories
• Aspects of cosmological expansion in F(R) gravity models
• Density perturbations in f(R) gravity theories in metric and Palatini formalisms
• Modified gravity a la Galileon: Late time cosmic acceleration and observational constraints
• The growth of matter perturbations in f(R) models
• Thermodynamics in $F(R)$ gravity with phantom crossing
• Charged spherically symmetric black holes in $f(R)$ gravity and their stability analysis
• A Compendium of Chameleon Constraints
• Black hole solutions in F(R) gravity with conformal anomaly
• Dark energy, inflation and dark matter from modified F(R) gravity
• Cosmographic Constraints and Cosmic Fluids
• Initial and final de Sitter universes from modified $f(R)$ gravity
• Towards a fully consistent parameterization of modified gravity
• Finite-time Cosmological Singularities and the Possible Fate of the Universe
• Cosmic history of viable exponential gravity: Equation of state oscillations and growth index from inflation to dark energy era
• Viable Singularity-Free f(R) Gravity Without a Cosmological Constant
• A designer approach to $f(Q)$ gravity and cosmological implications
• New constraints on parametrised modified gravity from correlations of the CMB with large scale structure
• Unraveling the effective fluid approach for $f(R)$ models in the subhorizon approximation
• Dynamics of the anisotropic Kantowsky-Sachs geometries in $R^n$ gravity
• Cosmological tests of General Relativity: a principal component analysis
• Equilibrium thermodynamics in modified gravitational theories
• Vacuum structure for scalar cosmological perturbations in Modified Gravity Models
• F(R) cosmology in presence of a phantom fluid and its scalar-tensor counterpart:towards a unified precision model of the universe evolution
• Constraining models of $f(R)$ gravity with Planck and WiggleZ power spectrum data
• Tension of the $E_G$ statistic and RSD data with Planck/$\Lambda$CDM and implications for weakening gravity
• Matter instabilities in general Gauss-Bonnet gravity
• Neutrino coupling to cosmological background: A review on gravitational Baryo/Leptogenesis
• Gödel-type universes in f(R) gravity
• Horizon thermodynamics in $f(R)$ theory
• f(R) cosmology with torsion
• Remarks on generalized Gauss-Bonnet dark energy
• A sub-horizon framework for probing the relationship between the cosmological matter distribution and metric perturbations
• KiDS+2dFLenS+GAMA: Testing the cosmological model with the $E_{\mathrm{G}}$ statistic
• $f(R)$ gravity solutions for evolving wormholes
• A comparison of Einstein-Boltzmann solvers for testing General Relativity
• An evaluation of cosmological models from expansion and growth of structure measurements
• One-loop effective action for non-local modified Gauss-Bonnet gravity in de Sitter space
• Quadrupolar gravitational radiation as a test-bed for f(R)-gravity
• Dynamics of Linear Perturbations in the hybrid metric-Palatini gravity
• Model-independent limits and constraints on extended theories of gravity from cosmic reconstruction techniques
• On the non-attractive character of gravity in f(R) theories
• Theoretical and observational constraints of viable f(R) theories of gravity
• Is cosmography a useful tool for testing cosmology?
• Cosmological dynamics in f(R) gravity
• Cluster abundance in chameleon $f(R)$ gravity I: toward an accurate halo mass function prediction
• Stability of f(R) black holes
• Designing Horndeski and the effective fluid approach
• An Extended action for the effective field theory of dark energy: a stability analysis and a complete guide to the mapping at the basis of EFTCAMB
• Constraints on f(R) theory and Galileons from the latest data of galaxy redshift surveys
• Testing Hu-Sawicki f(R) gravity with the Effective Field Theory approach
• Solutions for f(R) gravity coupled with electromagnetic field
• Instability of rotating black hole in a limited form of $f(R)$ gravity
• EFTCAMB/EFTCosmoMC: massive neutrinos in dark cosmologies
• New Gravitational Scales in Cosmological Surveys
• Dark energy: investigation and modeling
• Testing deviations from $\Lambda$CDM with growth rate measurements from 6 Large Scale Structure Surveys at $\mathbf{z}=0.06$ to 1
• Hints of dark energy anisotropic stress using Machine Learning
• Reconstruction of f(T) and f(R) gravity according to (m,n)-type holographic dark energy
• Cosmological perturbation in f(R,G) theories with a perfect fluid
• The Imprint of f(R) Gravity on Non-Linear Structure Formation
• Practical solutions for perturbed f(R) gravity
• Constraints on $f(R)$ theories of gravity from GW170817
• Standard Cosmological Evolution in a Wide Range of f(R) Models
• The Raychaudhuri equation in homogeneous cosmologies
• Anisotropic stress and stability in modified gravity models
• Testing logarithmic corrections on $R^2$-exponential gravity by observational data
• Gauss-Bonnet Chameleon Mechanism of Dark Energy
• Characterizing the linear growth rate of cosmological density perturbations in an f(R) model
• Scalar field mass in generalized gravity
• One Gravitational Potential or Two? Forecasts and Tests
• Gravitational wave propagation in $f(R)$ models: New parametrizations and observational constraints
• Revisiting f(R) gravity models that reproduce $\Lambda$CDM expansion
• Gravitational Field of a Global Monopole in a Modified Gravity
• Conformal Transformations in Cosmology of Modified Gravity: the Covariant Approach Perspective
• Stability analysis of f(R)-AdS black holes
• Testing Modified Gravity with Cosmic Shear
• Testing for dynamical dark energy models with redshift-space distortions
• Can modified gravity models reconcile the tension between CMB anisotropy and lensing maps in Planck-like observations?
• "Detuned" f(R) gravity and dark energy
• Quasinormal modes and their anomalous behavior for black holes in $f(R)$ gravity
• Effective gravitational equations for f(R) braneworld models
• On the motion of a test particle around a global monopole in a modified gravity
• New MGCAMB tests of gravity with CosmoMC and Cobaya
• Kinetic Sunyaev-Zeldovich effect in modified gravity
• $f(Q)$-gravity and neutrino physics
• Jumping from Metric f(R) to Scalar-Tensor Theories and the relations between their post-Newtonian Parameters
• Curvature Scalarization of Black Holes in f(R) Gravity
• The role of the tachyonic instability in Horndeski gravity
• Tests of Gravity with Galaxy Clusters
• Action Growth in $f\left(R\right)$ Gravity
• Cosmological evolution, future singularities, Little Rip and Pseudo-Rip in viable f(R) theories and their scalar-tensor counterpart
• Homogeneous cosmologies in generalized modified gravity
• Self-accelerating the normal DGP branch
• $\text{Hi-COLA}$: Fast, approximate simulations of structure formation in Horndeski gravity
• Updated constraints from the PLANCK experiment on modified gravity
• Reconstruction of $f(R)$ gravity models for an accelerated universe using Raychaudhuri equation
• Cosmological tests of modified gravity: constraints on $F(R)$ theories from the galaxy clustering ratio
• Bayesian comparison of nonstandard cosmologies using type Ia supernovae and BAO data
• Cosmological constraints on non-adiabatic dark energy perturbations
• Parametrised modified gravity and the CMB Bispectrum
• Second-order matter density perturbations and skewness in scalar-tensor modified gravity models
• Higher curvature gravity at the LHC
• Effects of modified theories of gravity on neutrino pair annihilation energy deposition near neutron stars
• Modified GBIG Scenario as an Alternative for Dark Energy
• Anisotropic singularities in modified gravity models
• Do cosmological data rule out $f(\mathcal{R})$ with $w\ne -1$?
• Linear growth of matter density perturbations in f(R,G) theories
• Non-singular modified gravity: the unification of the inflation, dark energy and dark mater
• Testing $f(R)$ dark energy model with the large scale structure
• Constraining f(R) Gravity with Planck Sunyaev-Zel'dovich Clusters
• A viable logarithmic f(R) model for inflation
• On tidal forces in f(R) theories of gravity
• Gravity stabilizes itself
• Cosmological perturbations in $F(R)$ gravity
• Constraints on decaying early modified gravity from cosmological observations
• Fast generation of mock galaxy catalogues in modified gravity models with COLA
• Neutrino spin oscillations in conformally gravity coupling models and quintessence surrounding a black hole
• Machine Learning and cosmographic reconstructions of quintessence and the Swampland conjectures
• $\text{fRevolution}$ $-$ Relativistic Cosmological Simulations in $f(R)$ Gravity I: Methodology
• Discrimination between Lambda-CDM, quintessence, and modified gravity models using wide area surveys
• 3D Weak Lensing: Modified Theories of Gravity
• Cosmological evolution of thermal relic particles in $f(R)$ gravity
• Weak Gravitational Lensing in Fourth Order Gravity
• Density perturbations in $f(R,\varphi )$-gravity with an application to the (varying power)-law model
• The post-Minkowskian limit of f(R)-gravity
• $(2+1)$-Dimensional Black Holes in $f(R,\varphi )$ Gravity
• Can the degeneracies in the gravity sector be broken?
• Neutrino pair annihilation ($\nu \bar{\nu }\to e^{-}{e}^{+}$) in the presence of quintessence surrounding a black hole
• Testing the $\Lambda$CDM paradigm with growth rate data and machine learning
• Cosmology of Chameleons with Power-Law Couplings
• Initial conditions for cosmological N-body simulations of the scalar sector of theories of Newtonian, Relativistic and Modified Gravity
• Uniqueness of non-trivial spherically symmetric black hole solution in special classes of F(R) gravitational theory
• Structure formation in $f(R)$ gravity: A distinguishing probe between the dark energy and modified gravity
• Small Cosmological Constant from Running Gravitational Coupling
• Linear perturbations in viable f(R) theories
• Can galaxy clusters, type Ia supernovae and cosmic microwave background rule out a class of modified gravity theories?
• Black holes in modified gravity theories
• An updated analysis of two classes of f(R) theories of gravity
• Constraints on Modified Gravity from ACT and SPT
• Consequences of f(R)-theories of gravity on gravitational leptogenesis
• Testing gravity with gravitational waves $\times$ electromagnetic probes cross-correlations
• Generalized Brans-Dicke theories in light of evolving dark energy
• Sesame: A power spectrum emulator pipeline for beyond-$\Lambda$CDM models
• Galaxy Clustering in 3D and Modified Gravity Theories
• Cosmological dynamics of magnetic Bianchi I in viable $f(R)$ models of gravity
• Black Holes with Electric and Magnetic Charges in $F(R)$ Gravity
• Problems with Modified Theories of Gravity, as Alternatives to Dark Energy
• Degeneracies in parametrized modified gravity models
• Graviton and scalar propagations on AdS(4) space in f(R) gravities
• A new approach to cosmological perturbations in f(R) models
• Equivalence Principle (EP) and Solar System Constraints on $R(1\pm \epsilon \ln (\frac{R}{R_c}))$ model of Gravity
• The little rip in classical and quantum $f(R)$ cosmology
• Cosmological constraints with the Effective Fluid approach for Modified Gravity
• Cosmological tests of gravity with latest observations
• Subpercent Accurate Fitting of Modified Gravity Growth
• Phi Zeta Delta: Growth of Perturbations in Parameterized Gravity for an Einstein-de Sitter Universe
• Cosmological Perturbations and Quasi-Static Assumption in $f(R)$ Theories
• The Effective Fluid approach for Modified Gravity and its applications
• Gluon condensate, modified gravity, and the accelerating Universe
• $\gamma$ gravity: Steepness control
• Covariant gauge invariant theory of Scalar Perturbations in $f(R)$-gravity: a brief review
• Tracking the validity of the quasi-static and sub-horizon approximations in modified gravity
• Testing gravity with non-Gaussianity
• Reconstruction of f(R) gravity models from observations
• Constraints on a $f(R)$ gravity dark energy model with early scaling evolution
• On Friedmann-Lema\^ıtre-Robertson-Walker cosmologies in non-standard gravity
• Multicomponent solution in modified theory of gravity in the early universe
• N-body Simulations of $\gamma$ Gravity
• Self-gravitating systems in Extended Gravity
• Future cosmological evolution in $f(R)$ gravity using two equations of state parameters
• Entropy and Energy of Static Spherically Symmetric Black Hole in $f(R)$ theory
• On the recovery of ISW fluctuations using large-scale structure tracers and CMB temperature and polarization anisotropies
• Dynamics of cosmological perturbations in modified Brans-Dicke cosmology with matter-scalar field interaction
• Non-linear density-velocity dynamics in $f(R)$ gravity from spherical collapse
• Cosmic scenarios in $f(R)$ gravity: a complete evolution
• Thermodynamics of black hole in $D$-dimensional $f(R)$ theory
• Model-Independent Test for Gravity using Intensity Mapping and Galaxy Clustering
• Mass assembly history of dark matter halos in the light of $H_0$ tension
• Viability of general relativity and modified gravity cosmologies using high-redshift cosmic probes
• Generalized modified gravity models: the stability issue
• Moduli stabilization with bulk scalar in nested doubly warped braneworld model
• Fast simulation mapping: from standard to modified gravity cosmologies using the bias assignment method
• Constraining Scale Dependent Growth with Redshift Surveys
• A study on causality in $f(R,\varphi ,X)$ theory
• Cosmological Inflation in a Generalized Unimodular Gravity
• Growth of matter perturbations for realistic $F(R)$ models
• A New Class of Cosmologically `Viable' $f(R)$ Models
• Constraining modified growth patterns with tomographic surveys
• Construction of f(R) Gravity Models
• The general expression for $f(T)$ in a charged cylindrical spacetime with diverse dimensions
• Euclid: Constraints on f(R) cosmologies from the spectroscopic and photometric primary probes
• Exact charged black hole solutions in D-dimensions in f(R) gravity
• Viable f(R) gravity and future cosmological evolution
• Black Hole Superradiance in f(R) Gravities
• CMB Tensor Anisotropies in f(R) Gravity
• Cosmological constraints on viable $f(R)$ models using weak lensing
• Spherical Collapse in Modified Gravity Theories
• Addressing Dipole Tension via Clustering in $\Lambda$CDM and beyond