Modified gravity models of dark energy

Abstract

We review recent progress of modified gravity models of dark energy--based on f(R) gravity, scalar-tensor theories, braneworld gravity, Galileon gravity, and other theories. In f(R) gravity and Brans-Dicke theory it is possible to design viable models consistent with local gravity constraints under a chameleon mechanism, while satisfying conditions for the cosmological viability. The Dvali-Gabadazde-Porrati braneworld model can be compatible with local gravity constraints through a nonlinear field self-interaction arising from a brane-bending mode, but the self-accelerating solution contains a ghost mode in addition to the tension with observational data about the cosmic expansion history. The extension of the field self-interaction to more general forms satisfying a Galilean symmetry in the flat space-time allows a possibility to avoid the appearance of ghosts and Laplacian instabilities, while the late-time cosmic acceleration can be realized by the field kinetic energy. We study the evolution of cosmological perturbations in those models to place constraints on model parameters from the observations of large-scale structure, cosmic microwave background, and weak lensing. We also briefly review other modified gravitational models of dark energy-- such as those based on Gauss-Bonnet gravity and Lorentz-violating theories.

52 pages, 8 figures, a lecture note in the book "Lectures on Cosmology: Accelerated Expansion of the Universe (Lecture Notes in Physics)" (published by Springer)

References in corpus (91)

• Dynamics of dark energy
• The Cosmological Constant and Dark Energy
• Cosmological Imprint of an Energy Component with General Equation of State
• 4D Gravity on a Brane in 5D Minkowski Space
• Cosmological Constant - the Weight of the Vacuum
• The Case for a Positive Cosmological Lambda-term
• Cosmology and the Fate of Dilatation Symmetry
• The Cosmological Constant
• 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
• A Dynamical Solution to the Problem of a Small Cosmological Constant and Late-time Cosmic Acceleration
• Coupled Quintessence
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Chameleon Fields: Awaiting Surprises for Tests of Gravity in Space
• Chameleon Cosmology
• The Confrontation between General Relativity and Experiment
• Kinetically Driven Quintessence
• The Einstein Equations on the 3-Brane World
• Curvature Quintessence
• Modified Gauss-Bonnet theory as gravitational alternative for dark energy
• Disappearing cosmological constant in f(R) gravity
• Non-conventional cosmology from a brane-universe
• Accelerated Universe from Gravity Leaking to Extra Dimensions
• Brane cosmological evolution in a bulk with cosmological constant
• Reconstruction of a scalar-tensor theory of gravity in an accelerating universe
• Cosmology on a Brane in Minkowski Bulk
• Cosmic Growth History and Expansion History
• Can modified gravity explain accelerated cosmic expansion?
• Gauss-Bonnet dark energy
• Conditions for the cosmological viability of f(R) dark energy models
• 1/R gravity and Scalar-Tensor Gravity
• Scaling solutions in general non-minimal coupling theories
• The Cosmology of Generalized Modified Gravity Models
• Curvature quintessence matched with observational data
• 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
• Gravity on a Brane in Infinite-Volume Extra Space
• Cosmological scaling solutions of non-minimally coupled scalar fields
• Observational signatures of f(R) dark energy models that satisfy cosmological and local gravity constraints
• Measuring the dark side (with weak lensing)
• Extended Quintessence
• Constraining f(R) Gravity as a Scalar Tensor Theory
• Post-Newtonian constraints on f(R) cosmologies in Palatini formalism
• Post-Newtonian constraints on f(R) cosmologies in metric formalism
• Construction of cosmologically viable f(G) gravity models
• 1/R Curvature Corrections as the Source of the Cosmological Acceleration
• Quintessence, the Gravitational Constant, and Gravity
• The pattern of growth in viable f(R) cosmologies
• The Cosmology of f(R) Gravity in the Metric Variational Approach
• The Cosmology of Modified Gauss-Bonnet Gravity
• Probing Newton's Constant on Vast Scales: DGP Gravity, Cosmic Acceleration and Large Scale Structure
• f(R) Gravity and Chameleon Theories
• Dynamics of Linear Perturbations in f(R) Gravity
• Solar system and equivalence principle constraints on f(R) gravity by chameleon approach
• Matter density perturbations and effective gravitational constant in modified gravity models of dark energy
• Scalar-Tensor Gravity and Quintessence
• Phantom crossing, equation-of-state singularities, and local gravity constraints in f(R) models
• Classical evolution and quantum generation in generalized gravity theories including string corrections and tachyon: Unified analyses
• Palatini form of 1/R gravity
• Cosmology and Astrophysical Constraints of Gauss-Bonnet Dark Energy
• Structure formation in the DGP cosmological model
• Stability of Cosmological Solution in f(R) Models of Gravity
• More on ghosts in DGP model
• Gauss-Bonnet Quintessence: Background Evolution, Large Scale Structure and Cosmological Constraints
• f(R) actions, cosmic acceleration and local tests of gravity
• Dark energy and cosmological solutions in second-order string gravity
• Cosmological and astrophysical parameters from the SDSS flux power spectrum and hydrodynamical simulations of the Lyman-alpha forest
• Weak Lensing Probes of Modified Gravity
• Observational constraints on self-accelerating cosmology
• Constraints on scalar-tensor models of dark energy from observational and local gravity tests
• Cosmological Constraints on f(R) Acceleration Models
• Modified-Source Gravity and Cosmological Structure Formation
• Ghosts, Instabilities, and Superluminal Propagation in Modified Gravity Models
• Large-Scale Tests of the DGP Model
• Modified Friedmann Equations in R${}^{-1}$-Modified Gravity
• Density perturbations in f(R) gravity theories in metric and Palatini formalisms
• Gauss-Bonnet cosmologies: crossing the phantom divide and the transition from matter dominance to dark energy
• String-inspired cosmology: Late time transition from scaling matter era to dark energy universe caused by a Gauss-Bonnet coupling
• Ghost conditions for Gauss-Bonnet cosmologies
• Power-laws f(R) theories are cosmologically unacceptable
• Constraining f(R) gravity in the Palatini formalism
• Constraints on Gauss-Bonnet Gravity in Dark Energy Cosmologies
• Non-linear interactions in a cosmological background in the DGP braneworld
• Confronting Braneworld Cosmology with Supernova data and Baryon Oscillations
• Ghost Constraints on Modified Gravity
• Supernova limits on brane world cosmology
• The effect of modified gravity on weak lensing
• Revisiting chameleon gravity - thin-shells and no-shells with appropriate boundary conditions
• Realizing Scale-invariant Density Perturbations in Low-energy Effective String Theory
• Optimizing future imaging survey of galaxies to confront dark energy and modified gravity models

Cited by in corpus (176)

• Planck 2015 results. XIII. Cosmological parameters
• Beyond the Cosmological Standard Model
• Reconstruction of some cosmological models in f(R,T) gravity
• Conditions for the cosmological viability of the most general scalar-tensor theories and their applications to extended Galileon dark energy models
• Effective gravitational couplings for cosmological perturbations in the most general scalar-tensor theories with second-order field equations
• Theoretical Models of Dark Energy
• Rotating Stars in Relativity
• Dark energy in Horndeski theories after GW170817: A review
• FRW Cosmology in F(R,T) gravity
• Effective Field Theory of Dark Energy: a Review
• Cosmology in generalized Proca theories
• Interacting Dark Energy -- constraints and degeneracies
• Gravitational collapse in f(R) theories
• Beyond generalized Proca theories
• Noether Symmetry in $f(T)$ Theory
• Violation of First Law of Thermodynamics in f(R,T) Gravity
• Dynamics of Teleparallel Dark Energy
• Scaling attractors in interacting teleparallel dark energy
• Observational constraint on interacting Tsallis holographic dark energy in logarithmic Brans-Dicke theory
• The 6dF Galaxy Velocity Survey: Cosmological constraints from the velocity power spectrum
• Primordial non-Gaussianities in general modified gravitational models of inflation
• $f(T)$ Theories and Varying Fine Structure Constant
• Extended vector-tensor theories
• Cosmological dynamics of mimetic gravity
• Generalized Second Law of Thermodynamics in $f(T)$ Gravity with Entropy Corrections
• On Wormhole Throats in $f(R)$ Gravity Theory
• Vainshtein mechanism in second-order scalar-tensor theories
• A Type of Levi-Civita's Solution in Modified Gauss-Bonnet Gravity
• Strange stars in Krori-Barua space-time under f(R; T) gravity
• The phenomenological approach to modeling the dark energy
• The two faces of mimetic Horndeski gravity: disformal transformations and Lagrange multiplier
• On the stability of scalar-vacuum space-times
• A designer approach to $f(Q)$ gravity and cosmological implications
• Traversable Wormhole Solutions in $f(R)$ Gravity Via Karmarkar Condition
• Noether Gauge Symmetry Approach in f(R) Gravity
• Correspondence between $f(G)$ Gravity and Holographic Dark Energy via Power-law Solution
• Reconstruction of $\Lambda$CDM Universe in $f(Q)$ Gravity
• Pilgrim Dark Energy in $f(T,T_G)$ cosmology
• Model-agnostic assessment of dark energy after DESI DR1 BAO
• Post-Newtonian parameters gamma and beta of scalar-tensor gravity with a general potential
• Screening the fifth force in the Horndeski's most general scalar-tensor theories
• Connecting early and late universe by $f(R)$ gravity
• Cosmological constraints on extended Galileon models
• Constraining $f(T)$ Theories with the Varying Gravitational Constant
• New holographic reconstruction of scalar field dark energy models in the framework of chameleon Brans-Dicke cosmology
• Testing Lorentz invariance of dark matter
• Unveiling the Dynamics of the Universe
• Late time cosmological approach in mimetic $f(R,T)$ gravity
• Static Traversable Wormholes in $f(R,T)=R+2\alpha \ln T$ Gravity
• Disformal invariance of cosmological perturbations in a generalized class of Horndeski theories
• Cosmic acceleration from modified gravity with Palatini formalism
• Anisotropic cosmological solutions in massive vector theories
• Constraints and tensions in testing general relativity from Planck and CFHTLenS including intrinsic alignment systematics
• A reconstruction of modified holographic Ricci dark energy in $f(R,T)$ gravity
• An Exponential F(R) Dark Energy Model
• Probing modified gravity theories with multiple measurements of high-redshift quasars
• Measuring growth index in a universe with massive neutrinos: A revisit of the general relativity test with the latest observations
• Observational constraints on non-minimally coupled Galileon model
• Observational signatures of the theories beyond Horndeski
• Black hole perturbations in vector-tensor theories: The odd-mode analysis
• Testing for dynamical dark energy models with redshift-space distortions
• Matter stability in modified teleparallel gravity
• Velocity-dependent interacting dark energy and dark matter with a Lagrangian description of perfect fluids
• Derivative Chameleons
• Traversable wormholes in the traceless $f(R,T)$ gravity
• A magnified glance into the dark sector: probing cosmological models with strong lensing in A1689
• Observational Constraints on Dynamical Dark Energy Models
• Disentangling dark energy and cosmic tests of gravity from weak lensing systematics
• A novel null test for the $\Lambda$CDM model with growth-rate data
• Transit String Dark Energy Models in $f(Q)$ Gravity
• Black holes in quartic-order beyond-generalized Proca theories
• Anisotropic stellar models admitting conformal motion
• The WiggleZ Dark Energy Survey: constraining the evolution of Newton's constant using the growth rate of structure
• Dynamical Dark Energy and Spontaneously Generated Gravity
• Accelerating models with a hybrid scale factor in extended gravity
• Phenomenological models for Unified Dark Matter with fast transition
• Exploring hints for dark energy density evolution in light of recent data
• Probing a $r^{-n}$ modification of the Newtonian potential with Exoplanets
• Probing Modified Gravity with Integrated Sachs-Wolfe CMB and Galaxy Cross-correlations
• Motions of Test Particles in Gravitational Field, Perturbations and Greybody Factor of Bardeen-like AdS Black Hole with Phantom Global Monopoles
• Gaugessence: a dark energy model with early time radiation-like equation of state
• Imprints of interacting dark energy on cosmological perturbations
• Searching for a Cosmological Preferred Axis in complicated class of cosmological models:Case study $f(R,T)$ model
• Generation of large-scale magnetic fields from inflation in teleparallelism
• Non-parametric Reconstruction of Growth Index via Gaussian Processes
• $f(R)$ gravity modifications: from the action to the data
• Observational Constraints on Growth Index with Cosmography
• Scalar-tensor cosmologies with dust matter in the general relativity limit
• Revisiting the dynamics of interacting vector-like dark energy
• Asymmetry in the reconstructed deceleration parameter
• Modified gravity with an exponential function of curvature
• Reconstructions of $f(T)$ Gravity from Entropy Corrected Holographic and New Agegraphic Dark Energy Models in Power-law and Logarithmic Versions
• $\text{fRevolution}$ $-$ Relativistic Cosmological Simulations in $f(R)$ Gravity I: Methodology
• Delta-gravity and Dark Energy
• Stability Conditions in the Generalized SU(2) Proca Theory
• Roles of Modified Chaplygin-Jacobi and Chaplygin-Abel Gases in FRW Universe
• Cosmic acceleration and de Sitter expansion in hybrid mass varying neutrino model
• Future constraints on the Hu-Sawicki modified gravity scenario
• Exact Scalar-Tensor Cosmological Models
• Weak Lensing Science, Surveys, and Systematics
• Reduced Lagrangians and analytic solutions in Einstein-æther Cosmology
• Conical singularities and the Vainshtein screening in full GLPV theories
• Perturbations of Keplerian Orbits in Stationary Spherically Symmetric Spacetimes
• Cosmic Acceleration and Brans-Dicke Theory
• Growth of non-linear structures and spherical collapse in the Galileon Ghost Condensate model
• Cosmological dynamics of magnetic Bianchi I in viable $f(R)$ models of gravity
• Cosmological stability in $f(\varphi ,\mathcal{G})$ gravity
• Whether Lyra's Manifold Itself is a Hidden Source of Dark Energy
• Testing gravity with halo density profiles observed through gravitational lensing
• Generalized second law of thermodynamics in QCD ghost f(G) gravity
• Tracking the Local Group Dynamics by Extended Gravity
• Analytical Gaussian Process Cosmography: Unveiling Insights into Matter-Energy Density Parameter at Present
• Minimal model dependent constraints on cosmological nuisance parameters and cosmic curvature from combinations of cosmological data
• Observational constraints on the fractal cosmology
• Structure formation in an anisotropic universe: Eulerian perturbation theory
• Consistency of nonlinear interacting ghost dark energy with recent observations
• It's a dark, dark world: Background evolution of interacting $\varphi$CDM models beyond simple exponential potentials
• Forecasting cosmological parameter constraints from near-future space-based galaxy surveys
• A new approach to cosmological perturbations in f(R) models
• Redshift space distortions in the presence of non-minimally coupled dark matter
• Configuration entropy in the $\Lambda$CDM and the dynamical dark energy models: Can we distinguish one from the other?
• Early universe in view of a modified theory of gravity
• Constraints on the speed of sound in the k-essence model of dark energy
• Data-driven and Almost Model-independent Reconstruction of Modified Gravity
• Covariant Canonical Gauge Gravitation and Cosmology
• Dark energy as a kinematic effect
• Are redshift-space distortions actually a probe of growth of structure?
• Hojman Symmetry in $f(T)$ Theory
• Cosmology in Delta-Gravity
• On the stability of the dark energy based on generalized uncertainty principle
• Phantom attractors in Kinetic Gravity Braiding theories: a dynamical system approach
• Magnetogenesis in Cyclical Universe
• Dynamics of Mixed Dark Energy Domination in Teleparallel Gravity and Phase-Space Analysis
• Cosmology of the interacting Tsallis holographic dark energy in $f(R,T)$ gravity framework
• Isotropic universe with almost scale-invariant fourth-order gravity
• Dark energy with a shift-symmetric scalar field: obstacles, loophole hunting and dead ends
• Effective dark energy through spin-gravity coupling
• Stable cosmological solutions in degenerate theory of gravity
• Particle-like solutions in the generalized SU(2) Proca theory
• Reconstructing modified gravity with holographic vacuum energy density
• Investigating the $w$CDM Model with Latest DESI BAO Observations
• Interacting dark matter and cosmic acceleration
• Beyond $\Lambda$CDM: Exploring a Dynamical Cosmological Constant Framework Consistent with Late-Time Observations
• Thermal phase transition in $F(R)$-charged $Ad{S}_4$-scalar theory
• Halo models in modified gravity theories with self-accelerated expansion
• A comprehensive data-driven odyssey to explore the equation of state of dark energy
• Euclid preparation. Simulations and nonlinearities beyond $\Lambda$CDM. 1. Numerical methods and validation
• Dynamical stability of Minkowski space in higher order gravity
• Scalar-Induced Gravitational Waves in Modified Gravity
• Inflation driven by q-de Sitter
• Is Quintessence an Indication of a Time-Varying Gravitational Constant?
• Phenomenological models of Universe with varying $G$ and $\Lambda$
• Mimicking the LCDM model with Stealths
• Cosmology and the Hubble Constant: On the Megamaser Cosmology Project (MCP)
• Consistency of $f(R)$ gravity models around solar polytropes
• Modified gravity with disappearing cosmological constant
• (2+1)-dimensional f(R) gravity solutions via Hojman symmetry
• Gauss-Bonnet Braneworld Cosmology with Modified Induced Gravity on the Brane
• An Accelerating Universe without Lambda: Delta~Gravity Using Monte Carlo
• Non-linear Eulerian Hydrodynamics of Dark Energy: Riemann problem and Finite Volume Schemes
• Hubble Tension and Dark Energy in Teleparallel Gauss-Bonnet Gravity: New Constraints from DESI BAO, Pantheon${}^{+}$ and Hubble Data
• Coupling q-deformed dark energy to dark matter
• The Inflationary Dynamics with the Scalar-Tensor Model
• Big rip in shift-symmetric Kinetic Gravity Braiding theories
• Signature of $f\left(R\right)$ gravity via Lemaître-Tolman-Bondi inhomogeneous perturbations
• Ultra-light dark matter with non-canonical kinetics reopening the mass window
• Mimetic Tensor-Vector-Scalar Cosmology: Incorporating Dark Matter, Dark Energy and Stiff Matter
• Modified Gravity in the framework of holographic dark energy
• Cosmological wheel or the arrow of time: A classical versus quantum perspective of gravity
• Dynamical 4-D Gauss-Bonnet action from matter-graviton interaction at one-loop
• A new type of second order cosmological lagrangians
• A Viable model for modified gravity
• Density perturbation and cosmological evolution in the presence of magnetic field in $f(R)$ gravity models
• Is Dark Energy an Effective Manifestation of Non-equilibrium Thermodynamics? -- Insights from DESI
• Intermediate evolution using SNIa, and BAO
• Impact of Lorentz violation models on exoplanets dynamics