Effective Field Theory of Dark Energy: a Review
arXiv:1907.03150 · doi:10.1016/j.physrep.2020.02.004
Abstract
The discovery of cosmic acceleration has triggered a consistent body of theoretical work aimed at modeling its phenomenology and understanding its fundamental physical nature. In recent years, a powerful formalism that accomplishes both these goals has been developed, the so-called effective field theory of dark energy. It can capture the behavior of a wide class of modified gravity theories and classify them according to the imprints they leave on the smooth background expansion history of the Universe and on the evolution of linear perturbations. The effective field theory of dark energy is based on a Lagrangian description of cosmological perturbations which depends on a number of functions of time, some of which are non-minimal couplings representing genuine deviations from General Relativity. Such a formalism is thus particularly convenient to fit and interpret the wealth of new data that will be provided by future galaxy surveys. Despite its recent appearance, this formalism has already allowed a systematic investigation of what lies beyond the General Relativity landscape and provided a conspicuous amount of theoretical predictions and observational results. In this review, we report on these achievements.
arXiv comment144 pages, 24 figures, 7 tables, invited review for Physics Reports
References in corpus (199)
- Planck 2015 results. XIII. Cosmological parameters
- GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
- Dynamics of dark energy
- The Seventh Data Release of the Sloan Digital Sky Survey
- Efficient Computation of CMB anisotropies in closed FRW models
- f(R) Theories Of Gravity
- Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
- Modified Gravity and Cosmology
- The Confrontation between General Relativity and Experiment
- f(R) theories
- Cosmological Imprint of an Energy Component with General Equation of State
- Gravitational Waves and Gamma-rays from a Binary Neutron Star Merger: GW170817 and GRB 170817A
- 4D Gravity on a Brane in 5D Minkowski Space
- Extended Theories of Gravity
- Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
- Cosmology and the Fate of Dilatation Symmetry
- Exploring the Expansion History of the Universe
- Accelerating Universes with Scaling Dark Matter
- Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Final Maps and Results
- Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
- The Baryon Oscillation Spectroscopic Survey of SDSS-III
- A 2.4% Determination of the Local Value of the Hubble Constant
- A Dynamical Solution to the Problem of a Small Cosmological Constant and Late-time Cosmic Acceleration
- Large Magellanic Cloud Cepheid Standards Provide a 1% Foundation for the Determination of the Hubble Constant and Stronger Evidence for Physics Beyond LambdaCDM
- Chameleon Fields: Awaiting Surprises for Tests of Gravity in Space
- BICEP2 I: Detection Of B-mode Polarization at Degree Angular Scales
- A 3% Solution: Determination of the Hubble Constant with the Hubble Space Telescope and Wide Field Camera 3
- Modified Gauss-Bonnet theory as gravitational alternative for dark energy
- Disappearing cosmological constant in f(R) gravity
- A gravitational-wave standard siren measurement of the Hubble constant
- Beyond the Cosmological Standard Model
- Generalized G-inflation: Inflation with the most general second-order field equations
- The Effective Field Theory of Inflation
- Causality, Analyticity and an IR Obstruction to UV Completion
- Massive neutrinos and cosmology
- KiDS-450: Cosmological parameter constraints from tomographic weak gravitational lensing
- Cosmology and Fundamental Physics with the Euclid Satellite
- Dark Energy after GW170817: dead ends and the road ahead
- Everything You Always Wanted To Know About The Cosmological Constant Problem (But Were Afraid To Ask)
- Baryon Acoustic Oscillations in the Lyα forest of BOSS DR11 quasars
- Reconstruction of a scalar-tensor theory of gravity in an accelerating universe
- Ghost Condensation and a Consistent Infrared Modification of Gravity
- Bimetric Gravity from Ghost-free Massive Gravity
- Strong constraints on cosmological gravity from GW170817 and GRB 170817A
- Conservative Constraints on Early Cosmology: an illustration of the Monte Python cosmological parameter inference code
- Dark Energy after GW170817 and GRB170817A
- Membranes at Quantum Criticality
- Implications of the Neutron Star Merger GW170817 for Cosmological Scalar-Tensor Theories
- Varying constants, Gravitation and Cosmology
- Healthy theories beyond Horndeski
- CFHTLenS: The Canada-France-Hawaii Telescope Lensing Survey
- Cosmological Tests of Modified Gravity
- Symmetron Fields: Screening Long-Range Forces Through Local Symmetry Restoration
- Quintessence: A Review
- Strong Interactions and Stability in the DGP Model
- Imperfect Dark Energy from Kinetic Gravity Braiding
- Transients from Initial Conditions in Cosmological Simulations
- A healthy extension of Horava gravity
- Degenerate higher derivative theories beyond Horndeski: evading the Ostrogradski instability
- Purely kinetic k-essence as unified dark matter
- Transforming gravity: from derivative couplings to matter to second-order scalar-tensor theories beyond the Horndeski Lagrangian
- Starting the Universe: Stable Violation of the Null Energy Condition and Non-standard Cosmologies
- The Effective Field Theory of Dark Energy
- Exploring gravitational theories beyond Horndeski
- Action functionals for relativistic perfect fluids
- General second order scalar-tensor theory, self tuning, and the Fab Four
- Dark Energy vs. Modified Gravity
- Gravitational Lensing Analysis of the Kilo Degree Survey
- Maximal freedom at minimum cost: linear large-scale structure in general modifications of gravity
- Measuring the dark side (with weak lensing)
- Degenerate higher order scalar-tensor theories beyond Horndeski up to cubic order
- Essential Building Blocks of Dark Energy
- Extended Scalar-Tensor Theories of Gravity
- Approaches to Understanding Cosmic Acceleration
- Generalization of the Proca Action
- Breaking a Dark Degeneracy with Gravitational Waves
- Degenerate higher order scalar-tensor theories beyond Horndeski and disformal transformations
- Dark Energy or Modified Gravity? An Effective Field Theory Approach
- Parameterization of Dark-Energy Properties: a Principal-Component Approach
- The first and second data releases of the Kilo-Degree Survey
- Dark Energy and Modified Gravity in Degenerate Higher-Order Scalar-Tensor (DHOST) theories: a review
- Modified gravity models of dark energy
- Dark Energy Survey Year 1 Results: A Precise H0 Measurement from DES Y1, BAO, and D/H Data
- k-Mouflage gravity
- Challenges to Self-Acceleration in Modified Gravity from Gravitational Waves and Large-Scale Structure
- The Effective Theory of Quintessence: the w<-1 Side Unveiled
- 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
- The Effective Field Theory of Multifield Inflation
- Acoustic Signatures in the Cosmic Microwave Background
- Gravitational Rainbows: LIGO and Dark Energy at its Cutoff
- Testing gravity with CAMB and CosmoMC
- Planck intermediate results. XXX. The angular power spectrum of polarized dust emission at intermediate and high Galactic latitudes
- Energy's and amplitudes' positivity
- Dark energy in Horndeski theories after GW170817: A review
- PRISM (Polarized Radiation Imaging and Spectroscopy Mission): An Extended White Paper
- A unifying description of dark energy
- Constraints on Einstein-Æther theory and Horava gravity from binary pulsar observations
- Planck intermediate results. XXII. Frequency dependence of thermal emission from Galactic dust in intensity and polarization
- CFHTLenS: Testing the Laws of Gravity with Tomographic Weak Lensing and Redshift Space Distortions
- Galileon Gravity in Light of ISW, CMB, BAO and data
- Dark Energy in light of Multi-Messenger Gravitational-Wave astronomy
- hi_class: Horndeski in the Cosmic Linear Anisotropy Solving System
- Effective Description of Higher-Order Scalar-Tensor Theories
- Softness and Amplitudes' Positivity for Spinning Particles
- Strong Binary Pulsar Constraints on Lorentz Violation in Gravity
- Effective Field Theory of Cosmological Perturbations
- Calibration of weak-lensing shear in the Kilo-Degree Survey
- UV complete me: Positivity Bounds for Particles with Spin
- Gravitational Wave Decay into Dark Energy
- Horndeski: beyond, or not beyond?
- Neutrino mass in cosmology: status and prospects
- Nonlinear structure formation in the Cubic Galileon gravity model
- Piercing the Vainshtein screen with anomalous gravitational wave speed: Constraints on modified gravity from binary pulsars
- Cosmic Degeneracies I: Joint N-body Simulations of Modified Gravity and Massive Neutrinos
- The observational status of Galileon gravity after Planck
- Exploring Cosmic Origins with CORE: Survey requirements and mission design
- Cosmological constraints on Brans-Dicke theory
- A Simplified Approach to General Scalar-Tensor Theories
- The fate of large-scale structure in modified gravity after GW170817 and GRB170817A
- Hydrogen Burning in Low Mass Stars Constrains Alternative Gravity Theories
- Effective Theory of Interacting Dark Energy
- Modified gravity inside astrophysical bodies
- Cosmological Tests of General Relativity with Future Tomographic Surveys
- Unified Dark Matter in Scalar Field Cosmologies
- The VIMOS Public Extragalactic Redshift Survey (VIPERS). Gravity test from the combination of redshift-space distortions and galaxy-galaxy lensing at
- Weakly Broken Galileon Symmetry
- Spherical collapse in Galileon gravity: fifth force solutions, halo mass function and halo bias
- Fables of reconstruction: controlling bias in the dark energy equation of state
- Constraints on deviations from CDM within Horndeski gravity
- Investigating dark energy experiments with principal components
- Dark energy after GW170817, revisited
- Testing Gravity Using Galaxy Clusters: New Constraints on Beyond Horndeski Theories
- Cosmological Constraints on Horndeski Gravity in Light of GW170817
- Fingerprints of Galactic Loop I on the Cosmic Microwave Background
- Effective Theory of Dark Energy at Redshift Survey Scales
- Cosmology Based on f(R) Gravity Admits 1 eV Sterile Neutrinos
- Direct detection of gravitational waves can measure the time variation of the Planck mass
- Mimetic gravity as DHOST theories
- Constraining models of gravity with Planck and WiggleZ power spectrum data
- Classical and quantum ghosts
- No Slip Gravity
- Purely Kinetic Coupled Gravity
- K-mouflage Cosmology: the Background Evolution
- Single-Field Consistency Relations of Large Scale Structure. Part III: Test of the Equivalence Principle
- Effects of modified gravity on B-mode polarization
- Phenomenology of dark energy: exploring the space of theories with future redshift surveys
- Nonlinear Effective Theory of Dark Energy
- Constraining Lorentz violation with cosmology
- Phenomenology of dark energy: general features of large-scale perturbations
- Determining the Neutrino Mass Hierarchy with Cosmology
- Phenomenology in minimal theory of massive gravity
- Dark Energy and Modified Gravity in the Effective Field Theory of Large-Scale Structure
- Mapping the Real Space Distributions of Galaxies in SDSS DR7: II. Measuring the growth rate, clustering amplitude of matter and biases of galaxies at redshift
- Effective field theory approach to modified gravity including Horndeski theory and Hořava-Lifshitz gravity
- A general theory of linear cosmological perturbations: scalar-tensor and vector-tensor theories
- The effective field theory of inflation/dark energy and the Horndeski theory
- A Class of Effective Field Theory Models of Cosmic Acceleration
- Is the Effective Field Theory of Dark Energy Effective?
- A Tighter Test of Local Lorentz Invariance using PSR J2317+1439
- Testing Lorentz invariance of dark matter
- Cosmological constraints on Lorentz violating dark energy
- Unveiling the Dynamics of the Universe
- 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
- Testing Hu-Sawicki f(R) gravity with the Effective Field Theory approach
- Horava Gravity in the Effective Field Theory formalism: from cosmology to observational constraints
- Signatures of Horndeski gravity on the Dark Matter Bispectrum
- Testing (modified) gravity with 3D and tomographic cosmic shear
- A general theory of linear cosmological perturbations: stability conditions, the quasistatic limit and dynamics
- Cosmological constraints on deviations from Lorentz invariance in gravity and dark matter
- Experimental constraints on the uncoupled Galileon model from SNLS3 data and other cosmological probes
- Constraints on modified gravity from Planck 2015: when the health of your theory makes the difference
- Gravity at the horizon: on relativistic effects, CMB-LSS correlations and ultra-large scales in Horndeski's theory
- Optimising growth of structure constraints on modified gravity
- Weakening Gravity on Redshift-Survey Scales with Kinetic Matter Mixing
- ISW effect in Unified Dark Matter Scalar Field Cosmologies: an analytical approach
- Dark energy from -attractors: phenomenology and observational constraints
- Effective Field Theory of Dark Energy: a Dynamical Analysis
- Hiding neutrino mass in modified gravity cosmologies
- Friction in Gravitational Waves: a test for early-time modified gravity
- Gravity's Islands: Parametrizing Horndeski Stability
- Probing non-standard gravity with the growth index: a background independent analysis
- Behind Horndeski: Structurally Robust Higher Derivative EFTs
- Weighing Neutrinos in gravity
- Semi-dynamical perturbations of unified dark energy
- On the stability conditions for theories of modified gravity in presence of matter fields
- Tracker and scaling solutions in DHOST theories
- Classifying Linearly Shielded Modified Gravity Models in Effective Field Theory
- Diagnostic of Horndeski Theories
- Testing gravity on cosmological scales with cosmic shear, cosmic microwave background anisotropies, and redshift-space distortions
- The role of the tachyonic instability in Horndeski gravity
- Simplifying the EFT of Inflation: Generalized Disformal Transformations and Redundant Couplings
- K-mouflage Imprints on Cosmological Observables and Data Constraints
- Inherently stable effective field theory for dark energy and modified gravity
- The effective field theory of K-mouflage
- Initial conditions for cosmological N-body simulations of the scalar sector of theories of Newtonian, Relativistic and Modified Gravity
- Marginalized Fisher Forecast for Horndeski Dark Energy Models
- Tackling non-linearities with the effective field theory of dark energy and modified gravity
- Coulomb Branch Localization in Quiver Quantum Mechanics
Cited by in corpus (121)
- Euclid. I. Overview of the Euclid mission
- New Horizons for Fundamental Physics with LISA
- Stellar structure models in modified theories of gravity: lessons and challenges
- Signatures of -gravity in cosmology
- Generalizing the coupling between geometry and matter: gravity
- Dark matters on the scale of galaxies
- Geodesic deviation, Raychaudhuri equation, Newtonian limit, and tidal forces in Weyl-type gravity
- A designer approach to gravity and cosmological implications
- Brief Review of Recent Advances in Understanding Dark Matter and Dark Energy
- Gaussian processes and effective field theory of gravity under the tension
- Probing modified gravity theories and cosmology using gravitational-waves and associated electromagnetic counterparts
- Positivity Bounds on Dark Energy: When Matter Matters
- Modified Gravity Constraints from the Full Shape Modeling of Clustering Measurements from DESI 2024
- Dark matter as a Weyl geometric effect
- Cosmological evolution and dark energy in osculating Barthel-Randers geometry
- Metric gravity with dynamical dark energy as a scenario for the Hubble tension
- Cosmological tests of the osculating Barthel-Kropina dark energy model
- Non-minimal geometry-matter couplings in Weyl-Cartan space-times: gravity
- Fast and accurate predictions of the nonlinear matter power spectrum for general models of Dark Energy and Modified Gravity
- Dark energy and accelerating cosmological evolution from osculating Barthel-Kropina geometry
- Cosmological Constraints on sub-horizon scales modified gravity theories with MGCLASS II
- Prospects of testing late-time cosmology with weak lensing of gravitational waves and galaxy surveys
- An exploration of an early gravity transition in light of cosmological tensions
- Gravitationally induced particle production in scalar-tensor gravity
- -gravity and neutrino physics
- Cosmological constraints on Hořava gravity revised in light of GW170817 and GRB170817A and the degeneracy with massive neutrinos
- New cosmological constraints on gravity in light of full Planck-CMB and type Ia supernovae data
- New constraints on cosmological modified gravity theories from anisotropic three-point correlation functions of BOSS DR12 galaxies
- Comparison of different approaches to the quasi-static approximation in Horndeski models
- The Effective Field Theory of Vector-Tensor Theories
- Cosmological constraints from the power spectrum and bispectrum of 21cm intensity maps
- Scalar Fields Near Compact Objects: Resummation versus UV Completion
- Mapping the CDM scenario to modified gravity: Effects on structure growth rate
- Probing Modified Gravity with Integrated Sachs-Wolfe CMB and Galaxy Cross-correlations
- Viscous cosmology in gravity
- Probing the speed of gravity with LVK, LISA, and joint observations
- 50 Years of Horndeski Gravity: Past, Present and Future
- Compact stellar structures in Weyl geometric gravity
- Sweeping Horndeski Canvas: New Growth-Rate Parameterization for Modified-Gravity Theories
- The first variation of the matter energy-momentum tensor with respect to the metric, and its implications on modified gravity theories
- Constraining the growth rate by combining multiple future surveys
- The matter density PDF for modified gravity and dark energy with Large Deviations Theory
- Observational constraints on the interacting dark energy - dark matter (IDM) cosmological models
- Constraining the cosmological evolution of scalar-tensor theories with local measurements of the time variation of G
- Developed Method. Interactions and their quantum picture
- Reconstructing Quintessence
- Testing the Speed of Gravity with Black Hole Ringdown
- Differentiating dark interactions with perturbation
- Cosmological Probes of Structure Growth and Tests of Gravity
- A quantum cosmology approach to cosmic coincidence and inflation
- Higher derivative scalar-tensor theory from the spatially covariant gravity: a linear algebraic analysis
- Limited Modified Gravity
- Gaussian-process reconstructions and model building of quintom dark energy from latest cosmological observations
- Parameterised post-Newtonian formalism for the effective field theory of dark energy via screened reconstructed Horndeski theories
- Thermodynamic analysis of black holes with cloud of strings and quintessence via Barrow entropy
- Evolution of thermodynamic quantities on cosmological horizon in model
- Multi-component DHOST analysis in galaxy clusters
- Non-minimally coupled gravity constraints from DESI DR2 data
- Scalar-tensor cosmologies without screening
- Tachyonic cosmology with cubic contractions of the Riemann tensor
- Gravitational signatures of a nonlinear electrodynamics in gravity
- Dissecting kinetically coupled quintessence: phenomenology and observational tests
- Are theories really relevant to cosmology?
- Warm inflation with non-comoving scalar field and radiation fluid
- Length-preserving biconnection gravity and its cosmological implications
- The cosmological principle in theories with torsion: The case of Einstein-Cartan-Dirac-Maxwell gravity
- Positivity bounds on reconstructed Horndeski models
- Dissipative quintessence, and its cosmological implications
- The effect of screening mechanisms on black hole binary inspiral waveforms
- Gravitational couplings in Chameleon models
- Covariant formulation of refracted gravity
- Aether scalar tensor theory: Hamiltonian Formalism
- Shift-symmetric Horndeski gravity in the asymptotic-safety paradigm
- Machine learning unveils the linear matter power spectrum of modified gravity
- Tracking the validity of the quasi-static and sub-horizon approximations in modified gravity
- Dark energy with a shift-symmetric scalar field: obstacles, loophole hunting and dead ends
- Simple traversable wormholes violating energy conditions only near the Planck scale
- Neutron Stars in Palatini and Theories
- On tachyonic stability priors for dark energy
- Horizon thermodynamics and cosmological equations: A holographic-like connection between thermostatistical quantities on a cosmological horizon and in the bulk
- Constraining cosmological scaling solutions of a Galileon field
- Thermodynamics of the Weyl Geometric Gravity Black Holes
- Strong Gravitational Lensing in Horndeski theory
- Cosmological model based on both holographic-like connection and Padmanabhan's holographic equipartition law
- General analysis of Noether symmetries in Horndeski gravity
- Dynamical Dark Energy and the Unresolved Hubble Tension: Multi-model Constraints from DESI 2025 and Other Probes
- Non-linear density-velocity dynamics in gravity from spherical collapse
- A varying Dark Energy effective speed of sound parameter in the phantom Universe
- Optimizing the Evolution of Perturbations in the CDM Universe
- Numerical implementation of the Cubic Galileon model in PINOCCHIO
- Recent Developments in Degenerate Higher Order Scalar Tensor Theories
- Improvements in cosmological constraints from breaking growth degeneracy
- Neutrino spin oscillation in screening models revisited
- Cosmology on a Gravitational Wave Background
- Properties of compact objects in quadratic non-metricity gravity
- Effective field theory of coupled dark energy and dark matter
- Misinterpreting Modified Gravity as Dark Energy: a Quantitative Study
- Cosmic flexion
- PPN meets EFT of dark energy: Post-Newtonian approximation in higher-order scalar-tensor theories
- Mimetic Weyl geometric gravity
- PySCo: A fast Particle-Mesh -body code for modified gravity simulations in Python
- Eckart heat-flux applicability in theories and the existence of temperature gradients
- Theoretical priors in scalar-tensor cosmologies: Shift-symmetric Horndeski models
- Refracted Gravity Solutions from Small to Large Scales
- Spin effects on particle creation and evaporation in gravity
- Stable Islands of Weak Gravity
- Observational constraints on Luciano-Saridakis entropic cosmology
- Bounce Cosmologies in Generalized Coupling Theories
- Probing dynamical embeddings in a five-dimensional spacetime in light of DESI BAO
- Unique gravitational wave signatures of GLPV scalar-tensor theories
- Game Theory in Cosmology
- Reconstruction of a dark energy model for the Dirac-Born-Infeld scalar field with the Hubble and DESI data via Gaussian process
- Thermodynamic Split Conjecture and an Observational Test for Cosmological Entropy
- Stability Analysis of Four Gravity Models : A Cosmological Review in the Background of Bianchi-I Anisotropy
- Weak gravitational flexion in various spacetimes: Exotic lenses and modified gravity
- Non-parametric exploration of minimally coupled gravity with phantom crossing
- Comparison of Quasinormal Modes of Black Holes in and Gravity
- Agegraphic Model based on the Generalized Uncertainty Principle
- Future Dark Energy Constraints from Atomic Clocks
- Constraining the growth rate on linear scales by combining SKAO and DESI surveys
- Cosmological Implications of Thermodynamic Split Conjecture