Degenerate higher derivative theories beyond Horndeski: evading the Ostrogradski instability

Abstract

Theories with higher order time derivatives generically suffer from ghost-like instabilities, known as Ostrogradski instabilities. This fate can be avoided by considering "degenerate" Lagrangians, whose kinetic matrix cannot be inverted, thus leading to constraints between canonical variables and a reduced number of physical degrees of freedom. In this work, we derive in a systematic way the degeneracy conditions for scalar-tensor theories that depend quadratically on second order derivatives of a scalar field. We thus obtain a classification of all degenerate theories within this class of scalar-tensor theories. The quartic Horndeski Lagrangian and its extension beyond Horndeski belong to these degenerate cases. We also identify new families of scalar-tensor theories with the intriguing property that they are degenerate despite the nondegeneracy of the purely scalar part of their Lagrangian.

19 pages, no figure

References in corpus (12)

• Beyond the Cosmological Standard Model
• Healthy theories beyond Horndeski
• Avoiding Dark Energy with 1/R Modifications of Gravity
• Exploring gravitational theories beyond Horndeski
• A unifying description of dark energy
• Breaking of Vainshtein screening in scalar-tensor theories beyond Horndeski
• Hydrogen Burning in Low Mass Stars Constrains Alternative Gravity Theories
• Modified gravity inside astrophysical bodies
• Hamiltonian structure of scalar-tensor theories beyond Horndeski
• Who You Gonna Call? Runaway Ghosts, Higher Derivatives and Time-Dependence in EFTs
• Observational signatures of the theories beyond Horndeski
• Non-Gaussian inflationary shapes in $G^3$ theories beyond Horndeski

Cited by in corpus (452)

• Dark Energy after GW170817: dead ends and the road ahead
• Strong constraints on cosmological gravity from GW170817 and GRB 170817A
• Dark Energy after GW170817 and GRB170817A
• Implications of the Neutron Star Merger GW170817 for Cosmological Scalar-Tensor Theories
• Black holes, gravitational waves and fundamental physics: a roadmap
• Horndeski theory and beyond: a review
• Dynamical systems applied to cosmology: dark energy and modified gravity
• Testing General Relativity in Cosmology
• Dark Energy vs. Modified Gravity
• Degenerate higher order scalar-tensor theories beyond Horndeski up to cubic order
• Extended Scalar-Tensor Theories of Gravity
• A systematic approach to generalisations of General Relativity and their cosmological implications
• Cosmology with the Laser Interferometer Space Antenna
• Degenerate higher order scalar-tensor theories beyond Horndeski and disformal transformations
• New Horizons for Fundamental Physics with LISA
• Dark Energy and Modified Gravity in Degenerate Higher-Order Scalar-Tensor (DHOST) theories: a review
• Scalar-tensor theories and modified gravity in the wake of GW170817
• Stellar structure models in modified theories of gravity: lessons and challenges
• Mimetic gravity: a review of recent developments and applications to cosmology and astrophysics
• Testing modified gravity at cosmological distances with LISA standard sirens
• Dark energy in Horndeski theories after GW170817: A review
• Effective Field Theory of Dark Energy: a Review
• Hamiltonian analysis of higher derivative scalar-tensor theories
• Galileon Gravity in Light of ISW, CMB, BAO and $H_0$ data
• Dark Energy in light of Multi-Messenger Gravitational-Wave astronomy
• Hořava Gravity at a Lifshitz Point: A Progress Report
• Effective Description of Higher-Order Scalar-Tensor Theories
• hi_class: Horndeski in the Cosmic Linear Anisotropy Solving System
• Inflation and Primordial Black Holes
• Healthy degenerate theories with higher derivatives
• Gravitational Wave Decay into Dark Energy
• Scalarized black holes in the presence of the coupling to Gauss-Bonnet gravity
• Vainshtein mechanism after GW170817
• Horndeski: beyond, or not beyond?
• The Observational Future of Cosmological Scalar-Tensor Theories
• Beyond Lovelock gravity: Higher derivative metric theories
• Vainshtein Screening in Scalar-Tensor Theories before and after GW170817: Constraints on Theories beyond Horndeski
• Extended vector-tensor theories
• Consistent Higher Derivative Gravitational theories with stable de Sitter and Anti-de Sitter Backgrounds
• "Shadowy" modes in Higher-Order Scalar-Tensor theories
• Standard sirens with a running Planck mass
• Selected topics in scalar-tensor theories and beyond
• Stability of Geodesically Complete Cosmologies
• Gravity in the Era of Equality: Towards solutions to the Hubble problem without fine-tuned initial conditions
• Alive and well: mimetic gravity and a higher-order extension in light of GW170817
• A covariant Lagrangian for stable nonsingular bounce
• Ostrogradsky in Theories with Multiple Fields
• Self-accelerating universe in scalar-tensor theories after GW170817
• Mimicking dark matter and dark energy in a mimetic model compatible with GW170817
• Extended Cuscuton: Formulation
• The Novel Probes Project -- Tests of Gravity on Astrophysical Scales
• Cosmological parameter constraints for Horndeski scalar-tensor gravity
• Rotating Black Holes in Higher Order Gravity
• Stability of a black hole and the speed of gravity waves within self-tuning cosmological models
• Metric-affine Gravity and Inflation
• Dark energy after GW170817, revisited
• Tests of General Relativity with Gravitational-Wave Observations using a Flexible--Theory-Independent Method
• Dark-Energy Instabilities induced by Gravitational Waves
• Testing Gravity Using Galaxy Clusters: New Constraints on Beyond Horndeski Theories
• Observational constraints on generalized Proca theories
• Direct detection of dark energy: the XENON1T excess and future prospects
• A Class of Minimally Modified Gravity Theories
• Hairy Schwarzschild-(A)dS black hole solutions in DHOST theories beyond shift symmetry
• Exorcising the Ostrogradsky ghost in coupled systems
• Perturbations of Stealth Black Holes in DHOST Theories
• Mimetic gravity as DHOST theories
• On the 4D generalized Proca action for an Abelian vector field
• Exact black hole solutions in shift-symmetric quadratic degenerate higher-order scalar-tensor theories
• Cosmological self-tuning and local solutions in generalized Horndeski theories
• Linear stability analysis of hairy black holes in quadratic degenerate higher-order scalar-tensor theories: Odd-parity perturbations
• Probing non-Gaussian Stochastic Gravitational Wave Backgrounds with LISA
• Vainshtein regime in Scalar-Tensor gravity: constraints on DHOST theories
• DHOST Bounce
• Fundamental theorem on gauge fixing at the action level
• Hairy black holes in DHOST theories: Exploring disformal transformation as a solution-generating method
• Weakly-coupled stealth solution in scordatura degenerate theory
• Towards Strong Field Tests of Beyond Horndeski Gravity Theories
• Hamiltonian vs stability and application to Horndeski theory
• On Rotating Black Holes in DHOST Theories
• White dwarfs and revelations
• hi_class: Background Evolution, Initial Conditions and Approximation Schemes
• Higher Derivative Field Theories: Degeneracy Conditions and Classes
• General Relativity solutions with stealth scalar hair in quadratic higher-order scalar-tensor theories
• Generalized SU(2) Proca Theory
• Propagation of the gravitational waves in a cosmological background
• A comparison of Einstein-Boltzmann solvers for testing General Relativity
• Disforming the Kerr metric
• Ghost-free theory with third-order time derivatives
• Ghost-free theories with arbitrary higher-order time derivatives
• Void Lensing as a Test of Gravity
• A general theory of linear cosmological perturbations: scalar-tensor and vector-tensor theories
• Stealth Schwarzschild solution in shift symmetry breaking theories
• Regular black holes via the Kerr-Schild construction in DHOST theories
• The screening Horndeski cosmologies
• Minimally Modified Gravity: a Hamiltonian Construction
• Non-singular black holes and the Limiting Curvature Mechanism: A Hamiltonian perspective
• Dark energy scenario consistent with GW170817 in theories beyond Horndeski gravity
• Scalar-metric-affine theories: Can we get ghost-free theories from symmetry?
• Higher Derivative Mimetic Gravity
• General invertible transformation and physical degrees of freedom
• Black hole solutions in shift-symmetric degenerate higher-order scalar-tensor theories
• Effective loop quantum cosmology as a higher-derivative scalar-tensor theory
• Bounce beyond Horndeski with GR asymptotics and $\gamma$-crossing
• Existence and Instability of Novel Hairy Black Holes in Shift-symmetric Horndeski Theories
• Measuring the propagation speed of gravitational waves with LISA
• Spatially covariant gravity theories with two tensorial degrees of freedom: the formalism
• Invertible disformal transformations with higher derivatives
• Sound speed resonance of the stochastic gravitational wave background
• Finding Horndeski theories with Einstein gravity limits
• Cosmological constraints on dark energy in light of gravitational wave bounds
• Resonant Decay of Gravitational Waves into Dark Energy
• On avoiding Ostrogradski instabilities within Asymptotic Safety
• Current and future constraints on cosmology and modified gravitational wave friction from binary black holes
• Kinetic screening in nonlinear stellar oscillations and gravitational collapse
• Black hole perturbations in DHOST theories: Master variables, gradient instability, and strong coupling
• The Effective Theory of Shift-Symmetric Cosmologies
• Nonlinear definition of the shadowy mode in higher-order scalar-tensor theories
• Big-bounce and future time singularity resolution in Bianchi I: the projective invariant Nieh-Yan case
• First-order thermodynamics of Horndeski gravity
• Spatially covariant gravity with velocity of the lapse function: the Hamiltonian analysis
• Relativistic stars in degenerate higher-order scalar-tensor theories after GW170817
• Gravity at the horizon: on relativistic effects, CMB-LSS correlations and ultra-large scales in Horndeski's theory
• Black hole perturbations in modified gravity
• Gravitational memory effects and Bondi-Metzner-Sachs symmetries in scalar-tensor theories
• Weakening Gravity on Redshift-Survey Scales with Kinetic Matter Mixing
• Reconstructing Horndeski theories from phenomenological modified gravity and dark energy models on cosmological scales
• Novel matter coupling in general relativity via canonical transformation
• Effective field theory for gravitational radiation in scalar-tensor gravity
• Built-in scordatura in U-DHOST
• Cosmological perturbations and stability of nonsingular cosmologies with limiting curvature
• Parametrizing modified gravity for cosmological surveys
• Nonsingular cosmological models with strong gravity in the past
• Spherical inhomogeneous solutions of Einstein and scalar-tensor gravity: a map of the land
• Doppelgänger dark energy: modified gravity with non-universal couplings after GW170817
• Formation of caustics in k-essence and Horndeski theory
• Generalized disformal Horndeski theories: cosmological perturbations and consistent matter coupling
• Primordial black holes ensued from exponential potential and coupling parameter in nonminimal derivative inflation model
• New class of Proca interactions
• Measuring gravity at cosmological scales
• Caustics for Spherical Waves
• A no-hair theorem for stars in Horndeski theories
• Towards the most general scalar-tensor theories of gravity: a unified approach in the language of differential forms
• Extended Cuscuton as Dark Energy
• Cosmological evolution in DHOST theories
• UV completions, fixing the equations and nonlinearities in $k$-essence
• Gravity, Scale Invariance and the Hierarchy Problem
• Effective Field Theory of Black Hole Perturbations with Timelike Scalar Profile: Formulation
• Spontaneous scalarization of black holes in the Horndeski theory
• Behind Horndeski: Structurally Robust Higher Derivative EFTs
• Genesis with general relativity asymptotics in beyond Horndeski theory
• Quasinormal Modes from EFT of Black Hole Perturbations with Timelike Scalar Profile
• Compact objects in scalar-tensor theories after GW170817
• Generalized Slow Roll in the Unified Effective Field Theory of Inflation
• Minimally modified gravity with an auxiliary constraint: a Hamiltonian construction
• Generalized Regge-Wheeler Equation from Effective Field Theory of Black Hole Perturbations with a Timelike Scalar Profile
• Non-standard gravitational waves imply gravitational slip: on the difficulty of partially hiding new gravitational degrees of freedom
• Perturbations and quasi-normal modes of black holes with time-dependent scalar hair in shift-symmetric scalar-tensor theories
• Gravitational waves and geometrical optics in scalar-tensor theories
• Squeezed tensor non-Gaussianity in non-attractor inflation
• Traversable wormholes in beyond Horndeski theories
• Testing gravitational wave propagation with multiband detections
• On the screening mechanism in DHOST theories evading gravitational wave constraints
• Consistency relations for large-scale structure in modified gravity and the matter bispectrum
• Dirac-Bergmann analysis and Degrees of Freedom of Coincident $f(Q)$-gravity
• Matter bispectrum beyond Horndeski
• Torsional birefringence in metric-affine Chern-Simons gravity: gravitational waves in late-time cosmology
• Hairy Black-holes in Shift-symmetric Theories
• Two-field disformal transformation and mimetic cosmology
• Field redefinitions in theories beyond Einstein gravity using the language of differential forms
• Conformal symmetry: towards the link between the Fermi and the Planck scales
• Nonminimal couplings, gravitational waves, and torsion in Horndeski's theory
• New MGCAMB tests of gravity with CosmoMC and Cobaya
• Degeneracy, matter coupling, and disformal transformations in scalar-tensor theories
• Black holes with a nonconstant kinetic term in degenerate higher-order scalar tensor theories
• Higher order derivative coupling to gravity and its cosmological implications
• Linear stability of black holes in shift-symmetric Horndeski theories with a time-independent scalar field
• Generalized SU(2) Proca theory reconstructed and beyond
• Cosmological models in modified gravity theories with extended nonminimal derivative couplings
• Primordial perturbations with pre-inflationary bounce
• K-dynamics: well-posed 1+1 evolutions in K-essence
• General formulation of cosmological perturbations in scalar-tensor dark energy coupled to dark matter
• Vector disformal transformation of generalized Proca theory
• New constraints on cosmological modified gravity theories from anisotropic three-point correlation functions of BOSS DR12 galaxies
• Galileon and generalized Galileon with projective invariance in a metric-affine formalism
• Bounce in GR and higher-order derivative operators
• Black hole hairs in scalar-tensor gravity and the lack thereof
• Stealth dark energy in scordatura DHOST theory
• Cosmological constraints on Hořava gravity revised in light of GW170817 and GRB170817A and the degeneracy with massive neutrinos
• Gravitational transitions via the explicitly broken symmetron screening mechanism
• Invertible disformal transformations with arbitrary higher-order derivatives
• Spatially covariant gravity: Perturbative analysis and field transformations
• Topological black hole in the theory with nonminimal derivative coupling with power-law Maxwell field and its thermodynamics
• Spin-orbit effects for compact binaries in scalar-tensor gravity
• On the phantom barrier crossing and the bounds on the speed of sound in non-minimal derivative coupling theories
• On the (A)dS Decoupling Limits of Massive Gravity
• Linear stability of black holes with static scalar hair in full Horndeski theories: generic instabilities and surviving models
• Aether scalar tensor theory: Linear stability on Minkowski space
• Perturbations of a rotating black hole in DHOST theories
• Stellar Pulsations in Beyond Horndeski Gravity Theories
• Quantum Ostrogradsky theorem
• Higher derivative scalar-tensor theory and spatially covariant gravity: the correspondence
• Regular black holes and gravitational particle-like solutions in generic DHOST theories
• Gravitational Redshift Constraints on the Effective Theory of Interacting Dark Energy
• A geometrical approach to degenerate scalar-tensor theories
• Deformed black hole in Sagittarius A
• The Weak Lensing Bispectrum Induced By Gravity
• Gravitational Landau Damping for massive scalar modes
• Tidal Love Numbers from EFT of Black Hole Perturbations with Timelike Scalar Profile
• Constant-roll inflation in the generalized SU(2) Proca theory
• Asymptotics of linear differential systems and application to quasi-normal modes of nonrotating black holes
• The phenomenology of beyond Horndeski gravity
• Testing gravity of a disformal Kerr black hole in quadratic degenerate higher-order scalar-tensor theories by quasi-periodic oscillations
• Generating enhanced primordial GWs during inflation with intermittent violation of NEC and diminishment of GW propagating speed
• Varying the Horndeski Lagrangian within the Palatini approach
• Equivalence between Horndeski and beyond Horndeski theories and imperfect fluids
• Higher derivative scalar-tensor theory through a non-dynamical scalar field
• Violation of the consistency relations for large-scale structure with dark energy
• Implication of GW170817 for cosmological bounces
• Effective description of generalized disformal theories
• Horndeski genesis: consistency of classical theory
• Cosmological constraints and phenomenology of a beyond-Horndeski model
• Compact objects of spherical symmetry in beyond Horndeski theories
• Modified-gravity theories with nondynamical background fields
• Observational Constraints in Nonlocal Gravity: the Deser-Woodard Case
• Positivity in the effective field theory of cosmological perturbations
• Inflation with $0\le c_{\mathrm{s}}\le 1$
• Massive gravity with non-minimal coupling
• Subluminal cosmological bounce beyond Horndeski
• Gravitational-wave cosmological distances in scalar-tensor theories of gravity
• Stealth configurations in vector-tensor theories of gravity
• 50 Years of Horndeski Gravity: Past, Present and Future
• New terms for scalar multi-Galileon models and application to SO(N) and SU(N) group representations
• Disformal transformation of stationary and axisymmetric solutions in modified gravity
• Disformally Coupled Scalar Fields and Inspiralling Trajectories
• Strong lensing by DHOST black holes
• Alleviating $H_0$ tension in scalar-tensor and bi-scalar-tensor theories
• Modelling the matter bispectrum at small scales in modified gravity
• Consistency of higher derivative couplings to matter fields in scalar-tensor gravity
• Spatially covariant gravity with two degrees of freedom: perturbative analysis
• More on the first-order thermodynamics of scalar-tensor and Horndeski gravity
• Could the black hole singularity be a field singularity?
• The shape of Scalar Gauss-Bonnet Gravity
• Stability of Hairy Black Holes in Shift-Symmetric Scalar-Tensor Theories via the Effective Field Theory Approach
• Cosmic structures and gravitational waves in ghost-free scalar-tensor theories of gravity
• Linear perturbations of Einstein-Gauss-Bonnet black holes
• Generating cosmological perturbations in non-singular Horndeski cosmologies
• Detecting Dark Energy Fluctuations with Gravitational Waves
• Canonical invariance of spatially covariant scalar-tensor theory
• Disformal Transformations in Scalar-Torsion Gravity
• Disforming to Conformal Symmetry
• The CMB lensing bi-spectrum as a probe of modified gravity theories
• On the effective metric of axial black hole perturbations in DHOST gravity
• Reconciling spontaneous scalarization with cosmology
• Exploring the black hole spectrum of axionic Horndeski theory
• Approximately stealth black hole in higher-order scalar-tensor theories
• Consistency of matter coupling in modified gravity
• Ostrogradsky mode in scalar-tensor theories with higher-order derivative couplings to matter
• Thermodynamics of black holes featuring primary scalar hair
• Modified gravity in the interior of population II stars
• Quasi-Normal Modes of Hairy Scalar Tensor Black Holes: Odd Parity
• A metric-affine version of the Horndeski theory
• Fifth forces and broken scale symmetries in the Jordan frame
• Perturbative unitarity and NEC violation in genesis cosmology
• Disformally Coupled Quintessence
• Testing gravity theories with cosmic microwave background in the degenerate higher-order scalar-tensor theory
• $f\left(R,{\nabla }_{{\mu }_1}R,\dots ,{\nabla }_{{\mu }_1}\dots {\nabla }_{{\mu }_n}R\right)$ theories of gravity in Einstein frame: A higher order modified Starobinsky inflation model in the Palatini approach
• Gravity in mimetic scalar-tensor theories after GW170817
• Horndeski stars
• Disformal map and Petrov classification in modified gravity
• Distinguishing modified gravity with just two tensorial degrees of freedom from general relativity: Black holes, cosmology, and matter coupling
• Constraining DHOST theories with linear growth of matter density fluctuations
• Constraining modified gravity from tidal phenomena in binary stars
• Self-anisotropizing inflationary universe in Horndeski theory and beyond
• Removing Ostrogradski ghost from degenerate gravity theories
• Role of matter in gravitation: going beyond the Einstein-Maxwell theory
• Ghostfree quadratic curvature theories with massive spin-2 and spin-0 particles
• Covariant 3+1 correspondence of the spatially covariant gravity and the degeneracy conditions
• Late-time acceleration and inflation in a Poincaré gauge cosmological model
• Higher derivative scalar-tensor theory from the spatially covariant gravity: a linear algebraic analysis
• A new scalar-tensor realization of Hořava-Lifshitz gravity
• The two-body potential of Vainshtein screened theories
• Superluminality in DHOST theory with extra scalar
• CMB constraints on DHOST theories
• Effect of noncircularity on the dynamic behaviors of particles in a disformal rotating black-hole spacetime
• Parameterised post-Newtonian formalism for the effective field theory of dark energy via screened reconstructed Horndeski theories
• Effective field theory of degenerate higher-order inflation
• Cosmological evolution of viable models in the generalized scalar-tensor theory
• Ghost from constraints: a generalization of Ostrogradsky theorem
• Growth of non-linear structures and spherical collapse in the Galileon Ghost Condensate model
• A General Model for Dark Energy Crossing the Phantom Divide
• Spatially covariant gravity with a dynamic lapse function
• Classifying Galileon $p$-form theories
• Scalarization of isolated black holes in scalar Gauss-Bonnet theory in the fixing-the-equations approach
• CMB lensing bi-spectrum: assessing analytical predictions against full-sky lensing simulations
• Oscillons in Higher-Derivative Effective Field Theories
• Instability of scalarized compact objects in Einstein-scalar-Gauss-Bonnet theories
• Multi-fluid cosmology in Einstein gravity: analytical solutions
• Horndeski dark matter and beyond
• Quadratic DHOST theories revisited
• Constraining Palatini-Horndeski theory with gravitational waves after GW170817
• Energy nonconservation and relativistic trajectories: Unimodular gravity and beyond
• Stability of generalized Einstein-Maxwell-scalar black holes
• Dark energy loopholes some time after GW170817
• Emergent Modified Gravity
• Inflation in the general Poincaré gauge cosmology
• Generalisation of Conformal-Disformal Transformations of the Metric in Scalar-Tensor Theories
• New Dynamical Degrees of Freedom from Invertible Transformations
• Parametric resonance of gravitational waves in general scalar-tensor theories
• Constraining Chameleon screening using galaxy cluster dynamics
• UV sensitive one-loop matter power spectrum in degenerate higher-order scalar-tensor theories
• Stable cosmological solutions in Horndeski theory
• Transformation of Primordial Cosmological Perturbations Under the General Extended Disformal Transformation
• Observational constraints on varying fundamental constants in a minimal CPC model
• Black hole perturbations in higher-order scalar-tensor theories: initial value problem and dynamical stability
• Perturbative reduction of derivative order in EFT
• Robustness of kinetic screening against matter coupling
• Stable non-singular cosmologies in beyond Horndeski theory and disformal transformations
• Redshift space distortions in the presence of non-minimally coupled dark matter
• Self-accelerating Massive Gravity: Hidden Constraints and Characteristics
• Positivity bounds on reconstructed Horndeski models
• Are $f(R,\mathrm{Matter})$ theories really relevant to cosmology?
• Complete Hamiltonian analysis of cosmological perturbations at all orders II: Non-canonical scalar field
• Symmetries for scalarless scalar theories
• Higher Derivative Scalar Tensor Theory in Unitary Gauge
• Horndeski fermion-boson stars
• Ghost free boson-fermion co-existence system
• First law of thermodynamics and entropy of FLRW universe in modified gravity
• First-order thermodynamics of Horndeski cosmology
• Late time cosmological evolution in DHOST models
• Tailoring cosmologies in cubic shift-symmetric Horndeski gravity
• Disformal mappings of spherical DHOST geometries
• Towards the extended SU(2) Proca theory
• Jointly fitting weak lensing, X-ray and Sunyaev-Zel'dovich data to constrain scalar-tensor theories with clusters of galaxies
• Testing gravity with the cosmic microwave background: constraints on modified gravity with two tensorial degrees of freedom
• Spatially covariant gravity with nonmetricity
• Neutron stars in degenerate higher-order scalar-tensor theories
• Scalar emission from neutron star-black hole binaries in scalar-tensor theories with kinetic screening
• Aether scalar tensor theory: Hamiltonian Formalism
• Vainshtein screening for slowly rotating stars
• Self-tuning kinetic gravity braiding: Cosmological dynamics, shift symmetry, and the tadpole
• Double screening
• Generalising the matter coupling in massive gravity: a search for new interactions
• Cosmological Instabilities and the Role of Matter Interactions in Dynamical Dark Energy Models
• Non-canonical kinetic structures in the swampland
• Master field equations for spherically symmetric gravitational fields beyond general relativity
• DHOST gravity in Ultra-diffuse galaxies -- Part II: NGC 1052-DF4 and Dragonfly 44
• Shift-symmetric Horndeski gravity in the asymptotic-safety paradigm
• Hamiltonian analysis of Mimetic gravity with higher derivatives
• On the galaxy 3-point correlation function in Modified Gravity
• 2-form gauge theory dual to scalar-tensor theory
• Testing generalized scalar-tensor theories of gravity with clusters of galaxies
• Stars disformally coupled to a shift-symmetric scalar field
• Black hole ringdown from physically sensible initial value problem in higher-order scalar-tensor theories
• Dark energy with a shift-symmetric scalar field: obstacles, loophole hunting and dead ends
• Disformal transformation of physical quantities associated with relativistic stars
• Conformal and kinetic couplings as two Jordan frames of the same theory
• Null energy condition violation and beyond Horndeski physics in light of DESI DR2 data
• Black holes in self-tuning cubic Horndeski cosmology
• Decoupling-limit consistency of the generalized SU(2) Proca theory
• Stealth black hole perturbations in kinetic gravity braiding
• Rotating stealth black holes with a cohomogeneity-1 metric
• Second-order peculiar velocity field as a novel probe of scalar-tensor theories
• Non-Gaussianity in DHOST inflation
• Constraining cosmological scaling solutions of a Galileon field
• Analysis of Unitarity in Conformal Quantum Gravity
• Screening and degenerate kinetic self-acceleration from the nonlinear freedom of reconstructed Horndeski theories
• Constraining a disformal Schwarzschild black hole in DHOST theories with the orbit of the S2 star
• A particle's perspective on screening mechanisms
• A novel probe of graviton dispersion relations at nano-Hertz frequencies
• Causality and Stability from Acoustic Geometry
• Rotating spacetimes with a free scalar field in four and five dimensions
• Numerical computation of quasinormal modes in the first-order approach to black hole perturbations in modified gravity
• On the Coupling of Generalized Proca Fields to Degenerate Scalar-Tensor Theories
• Quantum cosmology of quadratic f(R) theories with a FRW metric
• Quasistationary hair for binary black hole initial data in scalar Gauss-Bonnet gravity
• Cosmological attractors to general relativity and spontaneous scalarization with disformal coupling
• Black hole perturbations in spatially covariant gravity with just two tensorial degrees of freedom
• Exact solution for rotating black holes in parity-violating gravity
• Minimally modified gravity with auxiliary constraints formalism
• Ghost-free resummation of gravitational interactions of a 2-form gauge field
• Black holes in the quadratic-order extended vector-tensor theories
• Thermodynamic and observational constraints on black holes with primary hair in Beyond Horndeski Gravity: Stability and shadows
• Scalar fields with derivative coupling to curvature in the Palatini and the metric formulation
• Purely metric Horndeski theories and spontaneous curvaturization of black holes
• Can Horndeski Genesis be Nonpathological?
• Static Spherically Symmetric solutions in a subclass of Horndeski theories of gravity
• Subtleties in constraining gravity theories with mass-radius data
• In hot pursuit of a stable wormhole in beyond Horndeski theory
• Ghost-free scalar-fermion interactions
• Shift-symmetric $SO(N)$ multi-Galileon
• Spatial correlations of dark energy from quantum fluctuations in inflation
• On constrained analysis and diffeomorphism invariance of generalised Proca theories
• Higher-derivative supersymmetric effective field theories
• Static topological black hole with nonminimal derivative coupling and nonlinear electromagnetic field of Born-Infeld type
• Higher-Order Spectra of Weak Lensing Convergence Maps in Parameterized Theories of Modified Gravity
• Axial perturbations of black holes in scalar-tensor gravity: near-horizon behaviour
• Modified propagation of gravitational waves from the early radiation era
• Effective field theory of coupled dark energy and dark matter
• Luminal Scalar-Tensor theories for a not so dark Dark Energy
• On the well-posed variational principle in degenerate point particle systems using embeddings of the symplectic manifold
• On Lorentz-invariant spin-2 theories
• Transient weak gravity in scalar-tensor theories
• Confronting the Potential-driven DBI-inspired nonminimal kinetic coupling (Dinkic) inflation to the observational data
• A Bright Future? Prospects for Cosmological Tests of GR with Multimessenger Gravitational Wave Events
• Recent Developments in Degenerate Higher Order Scalar Tensor Theories
• Ghost Free Theory in Unitary Gauge: A New Candidate
• Constrain the linear scalar perturbation theory of Cotton gravity
• Extending the symmetry of the massless Klein-Gordon equation under the general disformal transformation
• Smarr formula for black holes with primary and secondary scalar hair
• PPN meets EFT of dark energy: Post-Newtonian approximation in higher-order scalar-tensor theories
• The primordial non-Gaussianities for non-singular Horndeski cosmologies
• Generalized Conformal Transformation and Inflationary Attractors
• Skewness consistency relation in large-scale structure and test of gravity theory
• Vector-tensor gravity from a broken gauge symmetry
• Hamiltonian Analysis of Nonlocal F(R) Gravity Models
• Higher Derivative Theory For Curvature Term Coupling With Scalar Field
• Removal of instabilities of the higher derivative theories in the light of antilinearity
• Hamiltonian analysis of metric-affine-$R^2$ theory
• CMB bispectrum constraints on DHOST inflation
• Hairy black holes in extended Einstein-Maxwell-scalar theories with magnetic charge and kinetic couplings
• Degenerate Horava gravity
• Higher order mimetic gravity after GW170817
• On the KG-constrained general disformal transformation of the Einstein-Hilbert action
• Primordial gravitational waves in DHOST inflation
• $n+1$ formalism of $f($Lovelock$)$ gravity
• Derivative coupling of inflaton to $R^{(3)}$
• Search for exotic gravitational wave signals beyond general relativity using deep learning
• Unique gravitational wave signatures of GLPV scalar-tensor theories
• Horndeski in motion
• A new geometrical look at Ostrogradsky procedure
• New time-dependent solutions of viable Horndeski gravity
• Infrared Sensitivity of Cosmological Probes in Horndeski Theory
• Horndeski model in nonlinearly realized supergravity
• The Large Scale Structure Bootstrap: perturbation theory and bias expansion from symmetries
• Scalar radiation zeros at the LHC
• Cosmic evolution in DHOST theories with scaling solutions
• A Bit Rate Bound on Superluminal Communication
• Quasinormal Modes from EFT of Black Hole Perturbations in Vector-Tensor Gravity
• Stealth black hole solutions in higher-order Maxwell-Einstein theories
• Theoretical filters for shift-symmetric Horndeski gravities
• Probing beyond-Horndeski gravity on ultra-large scales
• $G_3$ -- interacting scalar tensor dark energy
• Effect of primary scalar hair on black hole's strong lensing in Beyond Horndeski Gravity
• Scalar-scalar-tensor interaction in DHOST theories
• EFT of Dark Energy with Cosmic Chronometers: Reconstructing Background EFT Functions
• Neutron Stars in Scalar Torsion Theories with Nonminimal Coupling
• Scale-dependence in DHOST inflation
• Probing gravity beyond general relativity with bispectrum multipoles of cosmological tracers: I. Theoretical Foundations
• Positivity vs. Lorentz-violation: an explicit example
• Exact pp-wave solutions in shift-symmetric higher-order scalar-tensor theories
• On quasinormal frequencies of black hole perturbations with an external source
• Testing the Non-circularity of the Spacetime around Sagittarius A* with Orbiting Pulsars