Healthy theories beyond Horndeski

Abstract

We introduce a new class of scalar-tensor theories that extend Horndeski, or "generalized galileon", models. Despite possessing equations of motion of higher order in derivatives, we show that the true propagating degrees of freedom obey well-behaved second-order equations and are thus free from Ostrogradski instabilities, in contrast to the standard lore. Remarkably, the covariant versions of the original galileon Lagrangians-obtained by direct replacement of derivatives with covariant derivatives-belong to this class of theories. These extensions of Horndeski theories exhibit an uncommon, interesting phenomenology: the scalar degree of freedom affects the speed of sound of matter, even when the latter is minimally coupled to gravity.

arXiv comment5 pages, version accepted in PRL

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• Ghost Free Theory in Unitary Gauge: A New Candidate
• Fab Four self-interaction in quantum regime
• A Bright Future? Prospects for Cosmological Tests of GR with Multimessenger Gravitational Wave Events
• Non-Noetherian conformal Cheshire effect
• Effective field theory of coupled dark energy and dark matter
• On constrained analysis and diffeomorphism invariance of generalised Proca theories
• Field transformations and invariant quantities in scalar-teleparallel theories of gravity
• Luminal Scalar-Tensor theories for a not so dark Dark Energy
• Transient weak gravity in scalar-tensor theories
• Modified propagation of gravitational waves from the early radiation era
• Cosmic acceleration via derivative matter couplings
• Vainshtein mechanism in massive gravity nonlinear sigma models
• On Lorentz-invariant spin-2 theories
• Confronting the Potential-driven DBI-inspired nonminimal kinetic coupling (Dinkic) inflation to the observational data
• Properties of perturbations in beyond Horndeski theories
• Higher-Order Spectra of Weak Lensing Convergence Maps in Parameterized Theories of Modified Gravity
• Recent Developments in Degenerate Higher Order Scalar Tensor Theories
• On the well-posed variational principle in degenerate point particle systems using embeddings of the symplectic manifold
• Static topological black hole with nonminimal derivative coupling and nonlinear electromagnetic field of Born-Infeld type
• Extending the symmetry of the massless Klein-Gordon equation under the general disformal transformation
• The Schönberg-Chandrasekhar limit in presence of small anisotropy and modified gravity
• PPN meets EFT of dark energy: Post-Newtonian approximation in higher-order scalar-tensor theories
• A Post-Newtonian Analysis of Regularized 4D-EGB Theory: Complete Set of PPN Parameters and Observational Constraints
• Smarr formula for black holes with primary and secondary scalar hair
• Generic analysis of kinetically driven inflation
• Hamiltonian analysis of metric-affine-$R^2$ theory
• Confronting Inflation Models with the Coming Observations on Primordial Gravitational Waves
• Vector-tensor gravity from a broken gauge symmetry
• CMB bispectrum constraints on DHOST inflation
• The primordial non-Gaussianities for non-singular Horndeski cosmologies
• Cosmology in holographic non-minimal derivative coupling theory: constraints from inflation and variation of gravitational constant
• Hamiltonian Analysis of Nonlocal F(R) Gravity Models
• Equivalence of scalar-tensor theories and scale-dependent gravity
• Universe bouncing its way to inflation
• On the KG-constrained general disformal transformation of the Einstein-Hilbert action
• Removing Ostrogradski's ghost from cosmological perturbations in $f(R,R_{\mu \nu }^2,C_{\mu \nu \rho \sigma }^2)$ gravity
• Lyman-alpha power spectrum as a probe of modified gravity
• Gravitational dynamics in a 2+1+1 decomposed spacetime along nonorthogonal double foliations: Hamiltonian evolution and gauge fixing
• Cosmology of the non-local Proca theory
• Degenerate Horava gravity
• Constructing $p,n$-forms from $p$-forms via the Hodge star operator and the exterior derivative
• Beyond dRGT - a new massive gravity theory?
• Primordial gravitational waves in DHOST inflation
• Dynamical hair growth in black hole binaries in Einstein-scalar-Gauss-Bonnet gravity
• Cuscuton-like contribution to dark energy evolution
• Derivative coupling of inflaton to $R^{(3)}$
• Cosmological perturbations in the spatially covariant gravity with a dynamical lapse function
• Vainshtein mechanism in general purely disformal gravity theory
• Unique gravitational wave signatures of GLPV scalar-tensor theories
• Theoretical filters for shift-symmetric Horndeski gravities
• The Large Scale Structure Bootstrap: perturbation theory and bias expansion from symmetries
• Horndeski in motion
• Scalar radiation zeros at the LHC
• Equivalence Principle on Cosmological Backgrounds in Scalar-Tensor Theories
• New time-dependent solutions of viable Horndeski gravity
• Horndeski Genesis: strong coupling and absence thereof
• Spherically symmetric, static black holes with scalar hair, and naked singularities in nonminimally coupled k-essence
• Infrared Sensitivity of Cosmological Probes in Horndeski Theory
• Spatial Dependence of the Growth Factor in Scalar-Tensor Cosmology
• A Bit Rate Bound on Superluminal Communication
• Extremal cosmological black holes in Horndeski gravity and the anti-evaporation regime
• Cosmic magnification in beyond-Horndeski gravity
• CLASH-VLT: The Fifth Force in Chameleon Gravity from Joint Lensing and Kinematics Cluster Mass Profiles
• Scale-dependence in DHOST inflation
• No-Go theorem in the cubic subclass of Horndeski theory for spherically symmetric dynamical background
• Probing beyond-Horndeski gravity on ultra-large scales
• Exact pp-wave solutions in shift-symmetric higher-order scalar-tensor theories
• Scalar-scalar-tensor interaction in DHOST theories
• Ghost condensation and Ostrogradskian instability on low derivative backgrounds
• Mechanics of Isolated Horizons in Scalar-Tensor Theories
• New effective theories of gravitation and their phenomenological consequences
• Scalar Cherenkov radiation from high-energy cosmic rays
• $G_3$ -- interacting scalar tensor dark energy
• The WKB approximation and tunneling in theories with non-canonical kinetic terms
• Cosmological perturbations in generalised dark Lagrangians
• Probing gravity beyond general relativity with bispectrum multipoles of cosmological tracers: I. Theoretical Foundations
• Kinetically stabilized inflation
• Effect of primary scalar hair on black hole's strong lensing in Beyond Horndeski Gravity
• Inflationary spectral tilts as a result of the dilatation symmetry breaking