A formal introduction to Horndeski and Galileon theories and their generalizations

Abstract

We review different constructions of Galileon theories in both flat and curved space, and for both single scalar field models as well as multi-field models. Our main emphasis is on the formal mathematical properties of these theories and their construction.

19 pages

References in corpus (17)

• Resummation of Massive Gravity
• Covariant Galileon
• Generalized Galileons: All scalar models whose curved background extensions maintain second-order field equations and stress tensors
• G-inflation: inflation driven by the Galileon field
• Galileon Cosmology
• Multi-field galileons and higher co-dimension branes
• The recovery of General Relativity in massive gravity via the Vainshtein mechanism
• Bi-galileon theory I: motivation and formulation
• Primordial non-Gaussianity from the DBI Galileons
• Vainshtein Mechanism in Binary Pulsars
• Subluminal Galilean Genesis
• Primordial non-Gaussianity from G-inflation
• Time-dependent spherically symmetric covariant Galileons
• Multi-galileons, solitons and Derrick's theorem
• Dynamics of Unitarization by Classicalization
• A Covariant Master Theory for Novel Galilean Invariant Models and Massive Gravity
• Derrick's theorem beyond a potential

Cited by in corpus (129)

• Beyond the Cosmological Standard Model
• Black holes, gravitational waves and fundamental physics: a roadmap
• Horndeski theory and beyond: a review
• Black hole hair in generalized scalar-tensor gravity
• Exploring gravitational theories beyond Horndeski
• Black hole hair in generalized scalar-tensor gravity: An explicit example
• A Critical Review of Classical Bouncing Cosmologies
• Effective Field Theories of Post-Newtonian Gravity: A comprehensive review
• Mimetic gravity: a review of recent developments and applications to cosmology and astrophysics
• Generalized Proca action for an Abelian vector field
• Black Holes and Scalar Fields
• Can Horndeski Theory be recast using Teleparallel Gravity?
• Hamiltonian analysis of spatially covariant gravity
• Black hole hair formation in shift-symmetric generalised scalar-tensor gravity
• Selected topics in scalar-tensor theories and beyond
• A Hidden Symmetry of the Galileon
• Ostrogradsky in Theories with Multiple Fields
• Counting the degrees of freedom of generalized Galileons
• Metric-affine Gravity and Inflation
• Stability of a black hole and the speed of gravity waves within self-tuning cosmological models
• A Practical Mini-Course on Applied Holography
• Galileon inflation evades the no-go for PBH formation in the single-field framework
• Weak and strong deflection gravitational lensings by a charged Horndeski black hole
• A no-go theorem for generalized vector Galileons on flat spacetime
• $R^2$ inflation to probe non-perturbative quantum gravity
• Strong field gravitational lensing by a charged Galileon black hole
• Diffusivities bounds and chaos in holographic Horndeski theories
• Hamiltonian vs stability and application to Horndeski theory
• Gravity and Scalar Fields
• Generalized SU(2) Proca Theory
• Dark energy beyond quintessence: Constraints from the swampland
• Spontaneous scalarization of charged black holes at the approach to extremality
• Dynamical Analysis of an Integrable Cubic Galileon Cosmological Model
• 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
• Bouncing alternatives to inflation
• Current and future constraints on cosmology and modified gravitational wave friction from binary black holes
• Primordial non-Gaussianity from ultra slow-roll Galileon inflation
• Destabilization of black holes and stars by generalized Proca fields
• Reviving non-Minimal Horndeski-like Theories after GW170817: Kinetic Coupling Corrected Einstein-Gauss-Bonnet Inflation
• Who You Gonna Call? Runaway Ghosts, Higher Derivatives and Time-Dependence in EFTs
• Exact Solutions in Chiral Cosmology
• Unification of Galileon Dualities
• On the stability and causality of scalar-vector theories
• Lie-algebraic classification of effective theories with enhanced soft limits
• Scalarization of asymptotically Anti-de Sitter black holes with applications to holographic phase transitions
• On the stability conditions for theories of modified gravity in presence of matter fields
• The Cosmological Phonon: Symmetries and Amplitudes on Sub-Horizon Scales
• Hairy rotating black holes in cubic Galileon theory
• Proof of the most general multiple-scalar field theory in Minkowski space-time free of Ostrogradski Ghost
• Reconsidering the Ostrogradsky theorem: Higher-derivatives Lagrangians, Ghosts and Degeneracy
• Circular orbits and accretion process in a class of Horndeski/Galileon black holes
• Non-Abelian $S$-term dark energy and inflation
• Light propagation in inhomogeneous and anisotropic cosmologies
• Spatially covariant theories of gravity: disformal transformation, cosmological perturbations and the Einstein frame
• Scalar and vector Galileons
• Degeneracy, matter coupling, and disformal transformations in scalar-tensor theories
• Gravitational decoupling of generalized Horndeski hybrid stars
• Generalized SU(2) Proca theory reconstructed and beyond
• Non-Gaussian inflationary shapes in $G^3$ theories beyond Horndeski
• Cosmological Solutions in Multiscalar Field Theory
• Large fluctuations and Primordial Black Holes
• A systematic procedure to build the beyond generalized Proca field theory
• Breaking the Vainshtein screening in clusters of galaxies
• On the phantom barrier crossing and the bounds on the speed of sound in non-minimal derivative coupling theories
• On p-form theories with gauge invariant second order field equations
• A geometrical approach to degenerate scalar-tensor theories
• Constant-roll inflation in the generalized SU(2) Proca theory
• Equivalence between Horndeski and beyond Horndeski theories and imperfect fluids
• Astrophysical Signatures of Black holes in Generalized Proca Theories
• Tensor Galileons and Gravity
• Induced geometry from disformal transformation
• Cosmological implications of Rastall-$f(R)$ theory
• Exploring the black hole spectrum of axionic Horndeski theory
• Scalar-Tensor gravity with system-dependent potential and its relation with Renormalization Group extended General Relativity
• No need for dark matter in galaxy clusters within Galileon theory
• HYM-flation: Yang-Mills cosmology with Horndeski coupling
• The Infrared Structure of Exceptional Scalar Theories
• Propagation of scalar and tensor gravitational waves in Horndeski theory
• Coupling between Galileon and massive gravity with composite metrics
• Spontaneous scalarization of boson stars
• Cubic Derivative Interactions and Asymptotic Dynamics of the Galileon Vacuum
• Classifying Galileon $p$-form theories
• Horndeski extension of the minimal theory of quasidilaton massive gravity
• Dynamical systems analysis of the cubic galileon beyond the exponential potential and the cosmological analogue of the vDVZ discontinuity
• Gravitational Collapse of a Homogeneous Scalar Field Coupled Kinematically to Einstein Tensor
• Geometry of Multi-Flavor Galileon-Like Theories
• Anisotropic Scalar Field Dark Energy with a Disformally Coupled Yang-Mills Field
• Gauged Galileons
• Solitons and black hole in shift symmetric scalar-tensor gravity with cosmological constant
• Tackling non-linearities with the effective field theory of dark energy and modified gravity
• One-loop effective scalar-tensor gravity
• Symmetries for scalarless scalar theories
• Primordial black holes and induced gravitational waves from inflation in the Horndeski theory of gravity
• Galileons Coupled to Massive Gravity: General Analysis and Cosmological Solutions
• Late-time acceleration driven by shift-symmetric Galileon in the presence of Torsion
• Towards the extended SU(2) Proca theory
• Charged scalar-tensor solitons and black holes with (approximate) Anti-de Sitter asymptotics
• On Black Hole Structures in Scalar-Tensor Theories of Gravity
• A unified approach to standard and exotic dualizations through graded geometry
• Stable cosmological solutions in degenerate theory of gravity
• Comparing metric and Palatini approaches to vector Horndeski theory
• Phenomenology of minimal theory of quasidilaton massive gravity
• On the Coupling of Generalized Proca Fields to Degenerate Scalar-Tensor Theories
• Decoupling-limit consistency of the generalized SU(2) Proca theory
• Stable static structures in models with higher-order derivatives
• Anisotropy in constraint 4D Gauss-Bonnet gravity
• Boson and neutron stars with increased density
• An issue with the classification of the scalar-tensor theories of gravity
• Vainshtein Solutions Without Superluminal Modes
• Beyond Horndeski interactions induced by quantum effects
• New model of spontaneous scalarization of black holes induced by curvature and matter
• Gravity and Nonlinear Symmetry Realisation
• Generalized Horndeski-Like Einstein Gauss-Bonnet Inflation with Massless Primordial Gravitons
• A de Sitter limit analysis for dark energy and modified gravity models
• Duality, generalized global symmetries and jet space isometries
• Searching for new physics in the solar system with tetrahedral spacecraft formations
• Fab Four self-interaction in quantum regime
• Charged black holes in a generalized scalar-tensor gravity model
• Galileon Radiation from a Spherical Collapsing Shell
• Equatorial orbits and imaging of hairy cubic Galileon black holes
• Beyond dRGT - a new massive gravity theory?
• Nutty black holes in galileon scalar-tensor gravity
• On the flat spacetime Galileons and the Born-Infeld type structures
• Extremal cosmological black holes in Horndeski gravity and the anti-evaporation regime
• Damping of cosmological tensor modes in Horndeski theories after GW170817
• Field theory for gravity at all scales
• On anomalies in effective models with nonlinear symmetry realization
• (Lovelock)${}^2$ inflation: explaining the ACT data and equivalence to Higgs-Gauss-Bonnet inflation
• Graded Geometry and Tensor Gauge Theories