Dark energy in Horndeski theories after GW170817: A review

Abstract

The gravitational-wave event GW170817 from a binary neutron star merger together with the electromagnetic counterpart showed that the speed of gravitational waves $c_t$ is very close to that of light for the redshift $z<0.009$. This places tight constraints on dark energy models constructed in the framework of modified gravitational theories. We review models of the late-time cosmic acceleration in scalar-tensor theories with second-order equations of motion (dubbed Horndeski theories) by paying particular attention to the evolution of dark energy equation of state and observables relevant to the cosmic growth history. We provide a gauge-ready formulation of scalar perturbations in full Horndeski theories and estimate observables associated with the evolution of large-scale structures, cosmic microwave background, and weak lensing by employing a so-called quasi-static approximation for the modes deep inside the sound horizon. In light of the recent observational bound of $c_t$, we also classify surviving dark energy models into four classes depending on different structure-formation patterns and discuss how they can be observationally distinguished from each other. In particular, the nonminimally coupled theories in which the scalar field $\varphi$ has a coupling with the Ricci scalar $R$ of the form $G_4(\varphi )R$, including $f(R)$ gravity, can be tightly constrained not only from the cosmic expansion and growth histories but also from the variation of screened gravitational couplings. The cross correlation of integrated Sachs-Wolfe signal with galaxy distributions can be a key observable for placing bounds on the relative ratio of cubic Galileon density to total dark energy density. The dawn of gravitational-wave astronomy will open up a new window to constrain nonminimally coupled theories further by the modified luminosity distance of tensor perturbations.

51 pages, 5 figures, published version

References in corpus (76)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Dynamics of dark energy
• Cosmology and the Fate of Dilatation Symmetry
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• An Ordinary Short Gamma-Ray Burst with Extraordinary Implications: Fermi-GBM Detection of GRB 170817A
• Disappearing cosmological constant in f(R) gravity
• Beyond the Cosmological Standard Model
• Covariant Galileon
• Dark Energy after GW170817: dead ends and the road ahead
• Strong constraints on cosmological gravity from GW170817 and GRB 170817A
• Implications of the Neutron Star Merger GW170817 for Cosmological Scalar-Tensor Theories
• Healthy theories beyond Horndeski
• Generalized Galileons: All scalar models whose curved background extensions maintain second-order field equations and stress tensors
• Conditions for the cosmological viability of f(R) dark energy models
• Imperfect Dark Energy from Kinetic Gravity Braiding
• Are f(R) dark energy models cosmologically viable ?
• G-inflation: inflation driven by the Galileon field
• Exploring gravitational theories beyond Horndeski
• Observational signatures of f(R) dark energy models that satisfy cosmological and local gravity constraints
• Maximal freedom at minimum cost: linear large-scale structure in general modifications of gravity
• Measuring the dark side (with weak lensing)
• Constraining f(R) Gravity as a Scalar Tensor Theory
• Approaches to Understanding Cosmic Acceleration
• Construction of cosmologically viable f(G) gravity models
• f(R) Gravity and Chameleon Theories
• 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
• Modified gravity models of dark energy
• Galileon inflation
• DBI and the Galileon reunited
• Non-linear Evolution of f(R) Cosmologies III: Halo Statistics
• The Effective Theory of Quintessence: the w<-1 Side Unveiled
• Cosmology and Astrophysical Constraints of Gauss-Bonnet Dark Energy
• A Singularity Problem with f(R) Dark Energy
• Thawing quintessence with a nearly flat potential
• Gauss-Bonnet Quintessence: Background Evolution, Large Scale Structure and Cosmological Constraints
• Non-linear evolution of f(R) cosmologies II: power spectrum
• N-body Simulations for f(R) Gravity using a Self-adaptive Particle-Mesh Code
• Relativistic stars in f(R) gravity, and absence thereof
• Unifying framework for scalar-tensor theories of gravity
• Galileon Gravity in Light of ISW, CMB, BAO and $H_0$ data
• CFHTLenS: Cosmological constraints from a combination of cosmic shear two-point and three-point correlations
• Non-linear evolution of f(R) cosmologies I: methodology
• Effective Field Theory of Cosmic Acceleration: constraining dark energy with CMB data
• Constraints on scalar-tensor models of dark energy from observational and local gravity tests
• Challenges for scaling cosmologies
• The recovery of General Relativity in massive gravity via the Vainshtein mechanism
• Observables and unobservables in dark energy cosmologies
• Breaking of Vainshtein screening in scalar-tensor theories beyond Horndeski
• Observational constraints on Galileon cosmology
• Matter perturbations in Galileon cosmology
• Lectures on the Cosmological Constant Problem
• The observational status of Galileon gravity after Planck
• Density perturbations in general modified gravitational theories
• The existence of relativistic stars in f(R) gravity
• Improved constraints on H0 from a combined analysis of gravitational-wave and electromagnetic emission from GW170817
• DBI-essence
• Vainshtein Mechanism in Binary Pulsars
• Generalized Brans-Dicke theories
• Delicate f(R) gravity models with disappearing cosmological constant and observational constraints on the model parameters
• Unified Dark Matter Scalar Field Models
• Phantom boundary crossing and anomalous growth index of fluctuations in viable f(R) models of cosmic acceleration
• Cosmology of the proxy theory to massive gravity
• The Vainshtein mechanism in the Decoupling Limit of massive gravity
• Effective field theory of modified gravity with two scalar fields: dark energy and dark matter
• A note on the equivalence of a barotropic perfect fluid with a K-essence scalar field
• Partial accretion in the propeller stage of low mass X-ray binary Aql X--1
• Chameleon dark energy models with characteristic signatures
• Reconstruction of the Dark Energy equation of state
• Effective field theory approach to modified gravity including Horndeski theory and Hořava-Lifshitz gravity
• Equivalence Principle Violation in Vainshtein Screened Two-Body Systems
• Cosmology in generalized Horndeski theories with second-order equations of motion
• Speeding up $N$-body simulations of modified gravity: Chameleon screening models
• Revisiting chameleon gravity - thin-shells and no-shells with appropriate boundary conditions
• Cosmological constraints on the Hu-Sawicki modified gravity scenario
• Background cosmological dynamics in $f(R)$ gravity and observational constraints

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