Horndeski theory and beyond: a review

2003/09/25 by Tsutomu Kobayashi, Sukron Maiman · 572 citations
Physics and Astronomy · Social Sciences · #Black Holes and Theoretical Physics #Black hole (networking) #Communication Studies and Media #Cosmological model #Cosmology #Cosmology and Gravitation Theories #Dark energy #Degenerate energy levels #Education and Islamic Studies #Educational Research and Methods #Massive gravity #Quintessence #Relativity and Gravitational Theory #astro-ph.CO #gr-qc #hep-th

paper · pdf · doi:10.1088/1361-6633/ab2429

published in Reports on Progress in Physics 82(8), 086901 (IOP Publishing) · Review paper. 54 pages, no figure v2: published version

openalex created_date 2019/02/21 · openalex publication_date 2019/05/23 · arxiv created 2019/07/19 · arxiv updated 2019/07/22 · openalex updated_date 2026/08/06

Abstract

This article is intended to review the recent developments in the Horndeski theory and its generalization, which provide us with a systematic understanding of scalar-tensor theories of gravity as well as a powerful tool to explore astrophysics and cosmology beyond general relativity. This review covers the generalized Galileons, (the rediscovery of) the Horndeski theory, cosmological perturbations in the Horndeski theory, cosmology with a violation of the null energy condition, degenerate higher-order scalar-tensor theories and their status after GW170817, the Vainshtein screening mechanism in the Horndeski theory and beyond, and hairy black hole solutions.

Citations

• Second-order scalar-tensor field equations in a four-dimensional space
• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Observation of Gravitational Waves from a Binary Black Hole Merger

Cited by

• The CosmoVerse White Paper: Addressing observational tensions in cosmology with systematics and fundamental physics
• Thermodynamic and Topological Phase Transitions of AdS Black Holes with Nonminimal F^αβF^γλR_αγR_βλ Coupling
• Defocusing dark energy: Raychaudhuri diagnostics beyond w<-1/3 and the phantom divide
• Rolling Galileons: Evolving Braiding Strength for Viable Dark Energy
• Assessing Cosmological Evidence for Nonminimal Coupling
• Primary black-hole scalar charges and kinetic screening in K-essence-Gauss-Bonnet gravity
• Abundance of cosmic voids in EFT of dark energy
• Slowly rotating Black Holes in DHOST Theories
• Inflation with Gauss-Bonnet Correction and Higgs Potential
• Observational constraints on 3-forms dark energy
• From Frame Covariance to the Swampland Distance Conjecture
• A Master Equation for Screening in Luminal Horndeski Gravity
• EFT of Dark Energy with Cosmic Chronometers: Reconstructing Background EFT Functions
• Degenerate higher-order scalar-tensor theories in metric-affine gravity
• Probing the Scalar Hair of Rotating Horndeski Black Holes through Thick Disk Images
• Cosmology in generalized hybrid metric-Palatini with matter-geometry coupling
• A New Definition of Horndeski Theory and the Possibility of Multiple Scalar Field Extensions
• Straight and Wiggly Cosmic Strings in Horndeski Theory
• Bayesian and Machine-Learning Analyses of Nonminimal f(Q) Gravity and H₀ Tension
• The thermal view of singularity-free scalar-tensor spacetimes
• Challenges for ΛCDM: An update
• Teleparallel gravity: from theory to cosmology
• Neural Post-Einsteinian Test of General Relativity with the Third Gravitational-Wave Transient Catalog
• Theoretical filters for shift-symmetric Horndeski gravities
• On the consistent disformal couplings to fermions
• Building an AdS/BCFT Josephson junction within Horndeski gravity
• A particle's perspective on screening mechanisms
• Reconstructing inflation in a generalized Rastall theory of gravity
• non-Singular Spacetime Cores via Gravitational Evanescence of Collapsing Matter
• Ghost-free, gauge invariant SVT generalizations of Horndeski theory
• Linear Higher-Order Maxwell-Einstein-Scalar Theories
• Higher-order gravity models: corrections up to cubic curvature invariants and inflation
• Unique gravitational wave signatures of GLPV scalar-tensor theories
• Genesis--Starobinsky inflation can explain the ACT data
• String Corrected Scalar Field Inflation Compatible with the ACT Data
• Tidal deformation of black holes in Lovelock gravity
• Parameter constraints on Horndeski rotating black hole through quasiperiodic oscillations
• Compact stars in Einstein-scalar-Gauss-Bonnet gravity: regular and divergent scalar field configurations
• Particle physics models of interacting bosonic dark energy and fermionic dark matter in Einstein scalar Gauss-Bonnet gravity
• Master field equations for spherically symmetric gravitational fields beyond general relativity
• The Tension of Space as Dark Energy: A No Geometric Sequestering Theorem for Minimal Sequesters
• Greybody factors in scalar-tensor gravity and beyond
• Manifestation of Quantum Forces in Spacetime: Towards a General Theory of Quantum Forces
• Interacting Scalar Fields as Dark Energy and Dark Matter in Einstein scalar Gauss Bonnet Gravity
• Cosmological Perturbations of Extended NGR Model with Parity Violation
• Neutron stars in degenerate higher-order scalar-tensor theories: Axial perturbations
• Effective Field Theory of Perturbations on Arbitrary Black Hole Backgrounds with Spacelike Scalar Profile
• Nonlinear reconstruction of general dark energy theories
• Cosmological perturbations for smooth sign-switching dark energy models
• Dark Matter Surrounded Quartic Square-root Horndeski Black Hole: Thermodynamics, Optical Properties and Quasinormal Oscillations
• Regular Vaidya solutions of effective gravitational theories
• Cosmographic analysis of sign-switching dark energy
• New model of spontaneous scalarization of black holes induced by curvature and matter
• Stealth black hole solutions in higher-order Maxwell-Einstein theories
• Gravitational-wave tests of general relativity with ground-based detectors and pulsar-timing arrays
• Teleparallel dark energy in a nonflat universe
• A parity selection rule for regular black holes
• Test-Field vs Physical Quasi-Normal Modes in Scalar-Tensor Theories
• Propagating Gravitational Waves in Teleparallel Gauss-Bonnet Gravity
• Implications of pulsar timing arrays for Gauss-Bonnet Inflation
• Scalar memory from compact binary coalescences
• Black bounces to traversable wormholes from pure gravity in four and higher dimensions
• Phenomenology of Schwarzschild-like Black Holes with a Generalized Compton Wavelength
• Anisotropic instability in a higher order gravity theory
• Quantum Cosmology of Fab Four John Theory with Conformable Fractional Derivative
• Observational constraints on the regularized 4D Einstein-Gauss-Bonnet theory of gravity
• Neutron stars in the theory of gravity with nonminimal derivative coupling and realistic equations of state
• Mapping Poincaré gauge cosmology to Horndeski theory for emergent dark energy
• Birth of de Sitter universe from a time crystal universe
• Image features of spinning regular black holes based on a locality principle
• Generalized Horndeski-like Einstein Gauss-Bonnet inflation with massless primordial gravitons
• Stationary spacetimes with time-dependent real scalar fields
• A designer approach to f ( Q ) gravity and cosmological implications
• Unitarity of Minkowski non-local theories made explicit
• Nonsingular cosmological models with strong gravity in the past
• Dark matter candidate induced by Horndeski theory: Dark matter halo and cosmological evolution
• Rotating stealth black holes with a cohomogeneity-1 metric
• Exploring the spectral shape of gravitational waves induced by primordial scalar perturbations and connection with the primordial black hole scenarios
• Solar System tests and chameleon effect in f(R) gravity
• Destabilization of Black Holes and Stars by Generalized Proca Fields
• Induced gravitational topological term and the Einstein-Cartan modified theory
• Stability of a Viable Non-Minimal Bounce
• Square Peg in a Circular Hole: Choosing the Right Ansatz for Isolated Black Holes in Generic Gravitational Theories
• Proca theory of four-dimensional regularized Gauss-Bonnet gravity and black holes with primary hair
• Gödel-type solutions in cubic Galileon gravity
• Spherical collapse in DHOST theories and EFT of dark energy
• Extremal Cosmological Black Holes in Horndeski Gravity and the Anti-Evaporation Regime
• The path towards measuring the gravitational field of proton bunches at accelerators
• Regular BTZ black holes from an infinite tower of corrections
• Quintessence models in the late Universe
• Singularity resolution and inflation from an infinite tower of regularized curvature corrections
• Shadow radius and classical scattering analysis of two secondary hair Horndeski black holes
• 100 years of mathematical cosmology: Models, theories and problems, Part B. [europepmc]
• Past-directed scalar field gradients and scalar-tensor thermodynamics. [europepmc]
• Master field equations for spherically symmetric gravitational fields beyond general relativity. [europepmc]
• Modified Gravity: From Black Holes Entropy to Current Cosmology, 4th Edition. [europepmc]

Related

• 50 Years of Horndeski Gravity: Past, Present and Future
• From Lovelock to Horndeski's generalised scalar-tensor theory
• Dark energy in Horndeski theories after GW170817: A review
• Cosmological Perturbations in the Teleparallel analog of Horndeski gravity
• Cosmological gravity probes: connecting recent theoretical developments to forthcoming observations