Generalized Galileons: All scalar models whose curved background extensions maintain second-order field equations and stress tensors

Abstract

We extend to curved backgrounds all flat-space scalar field models that obey purely second-order equations, while maintaining their second-order dependence on both field and metric. This extension simultaneously restores to second order the, originally higher derivative, stress tensors as well. The process is transparent and uniform for all dimensions.

9 pages, no figure, RevTeX4 format; v2: reference added, final form for publication

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• Black holes in the quadratic-order extended vector-tensor theories
• Stable static structures in models with higher-order derivatives
• A unifying framework for ghost-free Lorentz-invariant Lagrangian field theories
• Cosmology of a higher derivative scalar theory with non-minimal Maxwell coupling
• An issue with the classification of the scalar-tensor theories of gravity
• Quansinormal modes of static and spherically symmetric black holes with the derivative coupling
• Geons of Galileons
• Some Adventures in the Search for a Modified Gravity Explanation for Cosmic Acceleration
• A de Sitter limit analysis for dark energy and modified gravity models
• On the strong coupling scale in Higgs G-inflation
• Gödel-type Solutions in Cubic Galileon Gravity
• The Stringy Origins of Galileons and their Novel Limit
• Static Spherically Symmetric solutions in a subclass of Horndeski theories of gravity
• Hamiltonian Analysis of Minimal Massive Gravity Coupled to Galileon Tadpole Term
• Post-Newtonian Binary Dynamics in Effective Field Theory of Horndeski Gravity
• Dynamics of holographic dark energy with apparent-horizon cutoff and non-minimal derivative coupling gravity in non-flat FLRW universe
• Galileons and Naked Singularities
• Axionic extension of the Proca action
• Horndeski black hole observational properties
• On constrained analysis and diffeomorphism invariance of generalised Proca theories
• Static topological black hole with nonminimal derivative coupling and nonlinear electromagnetic field of Born-Infeld type
• Fab Four self-interaction in quantum regime
• Proca-stinated Cosmology II: Matter, Halo, and Lensing Statistics in the vector Galileon
• Confronting the Potential-driven DBI-inspired nonminimal kinetic coupling (Dinkic) inflation to the observational data
• Scale-invariant scalar spectrum from the nonminimal derivative coupling with fourth-order term
• Studying G-axion Inflation model in light of PLANCK
• Conformal couplings of Galileons to other degrees of freedom
• Vainshtein mechanism in massive gravity nonlinear sigma models
• AdS${}_3$ black holes with primary Proca hair from a regularized Gauss-Bonnet coupling
• Principal Components for Model-Agnostic Modified Gravity with 3x2pt
• Cosmology in holographic non-minimal derivative coupling theory: constraints from inflation and variation of gravitational constant
• Hairy black hole solutions in a three-dimensional Galileon model
• A general method for the construction of stable Galileon models consistent with the Planck data results
• Confronting Inflation Models with the Coming Observations on Primordial Gravitational Waves
• Beyond self-acceleration: force- and fluid-acceleration
• Consistency Relation and Non-Gaussianity in a Galileon Inflation
• Red-shift parametrizations of dark energy and observational constraint on their parameters: Galileon gravity as background
• Regular AdS${}_3$ black holes from regularized Gauss-Bonnet coupling
• Compact stars in Einstein-scalar-Gauss-Bonnet gravity: regular and divergent scalar field configurations
• An effective description of dark energy: from theory to phenomenology
• Two-dimensional (bi-)scalar gravities from four-dimensional Horndeski
• Dark matter candidate induced by Horndeski theory: dark matter halo and cosmological evolution
• Removing Ostrogradski's ghost from cosmological perturbations in $f(R,R_{\mu \nu }^2,C_{\mu \nu \rho \sigma }^2)$ gravity
• Equatorial orbits and imaging of hairy cubic Galileon black holes
• The Direction of Gravity
• A new type of second order cosmological lagrangians
• Inflation and Cyclotron Motion
• Cosmological and astrophysical applications of modified theories of gravity
• Cosmic acceleration and the challenge of modifying gravity
• New time-dependent solutions of viable Horndeski gravity
• Doubly coupled matter fields in massive bigravity
• Black hole solutions in gravity with nonminimal derivative coupling and nonlinear material fields
• Accelerated expansion as manifestation of gravity: when Dark Energy belongs to the left
• Possibility of cyclic Turnarounds In Brane-world Scenario: Phantom Energy Accretion onto Black Holes and its consequences
• Graded Geometry and Tensor Gauge Theories
• On the validity of cosmic no-hair conjecture in an anisotropic inflationary model
• Perturbations In Some Dark Energy Models
• Exploring Lovelock theory moduli space for Schroedinger solutions
• Intermediate inflation in generalized non-minimal derivative coupling model
• Cosmic acceleration from string induced Galileons
• Tensor Galileons as Lovelock theories
• Nonlinear matter terms in general scalar-tensor braneworld cosmology
• No-Go theorem in the cubic subclass of Horndeski theory for spherically symmetric dynamical background
• Non-parametric exploration of minimally coupled gravity with phantom crossing
• Effective Field Theory of Hairy Black Holes and Their flat/dS limit
• Kinetically stabilized inflation