50 Years of Horndeski Gravity: Past, Present and Future

Abstract

An essay on Horndeski gravity, how it was formulated in the early 1970s and how it was 're-discovered' and widely adopted by Cosmologists more than thirty years later.

arXiv commentInvited essay for International Journal of Theoretical Physics to celebrate the 50th anniversary of Horndeski Gravity

References in corpus (92)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Dynamics of dark energy
• Efficient Computation of CMB anisotropies in closed FRW models
• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• Modified Gravity and Cosmology
• The Confrontation between General Relativity and Experiment
• f(R) theories
• Multi-messenger Observations of a Binary Neutron Star Merger
• Gravitational Waves and Gamma-rays from a Binary Neutron Star Merger: GW170817 and GRB 170817A
• A Dynamical Solution to the Problem of a Small Cosmological Constant and Late-time Cosmic Acceleration
• The galileon as a local modification of gravity
• Essentials of k-essence
• Resummation of Massive Gravity
• An Ordinary Short Gamma-Ray Burst with Extraordinary Implications: Fermi-GBM Detection of GRB 170817A
• Science Case for the Einstein Telescope
• Beyond the Cosmological Standard Model
• Generalized G-inflation: Inflation with the most general second-order field equations
• The Effective Field Theory of Inflation
• Covariant Galileon
• Dark Energy after GW170817: dead ends and the road ahead
• INTEGRAL Detection of the First Prompt Gamma-Ray Signal Coincident with the Gravitational Wave Event GW170817
• Dark Energy after GW170817 and GRB170817A
• Healthy theories beyond Horndeski
• Strong Interactions and Stability in the DGP Model
• Degenerate higher derivative theories beyond Horndeski: evading the Ostrogradski instability
• Horndeski theory and beyond: a review
• Transforming gravity: from derivative couplings to matter to second-order scalar-tensor theories beyond the Horndeski Lagrangian
• The Effective Field Theory of Dark Energy
• The Relation between Physical and Gravitational Geometry
• Exploring gravitational theories beyond Horndeski
• General second order scalar-tensor theory, self tuning, and the Fab Four
• 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
• Degenerate higher order scalar-tensor theories beyond Horndeski and disformal transformations
• Dark Energy or Modified Gravity? An Effective Field Theory Approach
• Distinguishing Modified Gravity from Dark Energy
• Galileon Cosmology
• Dark Energy and Modified Gravity in Degenerate Higher-Order Scalar-Tensor (DHOST) theories: a review
• k-Mouflage gravity
• Scalar-tensor theories and modified gravity in the wake of GW170817
• The Effective Theory of Quintessence: the w<-1 Side Unveiled
• Testing modified gravity at cosmological distances with LISA standard sirens
• Gravitational Rainbows: LIGO and Dark Energy at its Cutoff
• Multi-field galileons and higher co-dimension branes
• The gravitational-wave luminosity distance in modified gravity theories
• Effective Field Theory of Dark Energy: a Review
• DGP Specteroscopy
• The Parameterized Post-Friedmann Framework for Theories of Modified Gravity: Concepts, Formalism and Examples
• Healthy degenerate theories with higher derivatives
• Observables and unobservables in dark energy cosmologies
• Effective Field Theory of Cosmological Perturbations
• Universal Field Equations with Covariant Solutions D.B. Fairlie
• Gravitational Wave Decay into Dark Energy
• What can Cosmology tell us about Gravity? Constraining Horndeski with Sigma and Mu
• Towards a fully consistent parameterization of modified gravity
• Cosmological parameter constraints for Horndeski scalar-tensor gravity
• Constraints on deviations from $\Lambda$CDM within Horndeski gravity
• Fingerprinting dark energy
• Cosmological Constraints on Horndeski Gravity in Light of GW170817
• Dark-Energy Instabilities induced by Gravitational Waves
• Laboratory Tests of the Galileon
• Direct detection of gravitational waves can measure the time variation of the Planck mass
• Euler Hierarchies and Universal Equations
• KiDS+GAMA: Constraints on Horndeski gravity from combined large-scale structure probes
• Stellar Structure and Tests of Modified Gravity
• Astrophysical Tests of Modified Gravity: Stellar and Gaseous Rotation Curves in Dwarf Galaxies
• Universal Field Equations with Reparametrisation Invariance
• The road ahead of Horndeski: cosmology of surviving scalar-tensor theories
• 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 modified gravity from Planck 2015: when the health of your theory makes the difference
• Splashback in galaxy clusters as a probe of cosmic expansion and gravity
• Phenomenology of Large Scale Structure in scalar-tensor theories: joint prior covariance of $w_{\text{DE}}$, $\Sigma$ and $\mu$ in Horndeski
• Principal reconstructed modes of dark energy and gravity
• Impact of theoretical priors in cosmological analyses: the case of single field quintessence
• The splashback radius in symmetron gravity
• Prospects of testing late-time cosmology with weak lensing of gravitational waves and galaxy surveys
• Exploring degeneracies in modified gravity with weak lensing
• Non-standard gravitational waves imply gravitational slip: on the difficulty of partially hiding new gravitational degrees of freedom
• Testing Modified Gravity with Cosmic Shear
• Diagnostic of Horndeski Theories
• New constraints on cosmological modified gravity theories from anisotropic three-point correlation functions of BOSS DR12 galaxies
• Tests of Gravity Theories Using Supermassive Black Holes
• Stellar Pulsations in Beyond Horndeski Gravity Theories
• The phenomenology of beyond Horndeski gravity
• Confronting DGP Braneworld Gravity with Cosmic Observations after Planck Data
• Scalar radiation from Chameleon-shielded regions
• Testing gravity with gravitational wave friction and gravitational slip
• CMB constraints on DHOST theories
• Double screening
• What laboratory experiments can teach us about cosmology: A chameleon example

Cited by in corpus (8)

• Lorentz Symmetry Violation in Charged Black Hole Thermodynamics and Gravitational Lensing: Effects of the Kalb-Ramond Field
• Interacting Models of Dark Energy and Dark Matter in Einstein scalar Gauss Bonnet Gravity
• Environmental cosmic acceleration from a phase transition in the dark sector
• A polynomial affine model of gravity: after ten years
• Recent Developments in Degenerate Higher Order Scalar Tensor Theories
• Asymptotically Schwarzschild solutions in $f(R)$ extension of general relativity
• Spatial Dependence of the Growth Factor in Scalar-Tensor Cosmology
• Propagation of tensor perturbation in Horndeski-like gravity