Generalized G-inflation: Inflation with the most general second-order field equations

Abstract

We study generalized Galileons as a framework to develop the most general single-field inflation models ever, Generalized G-inflation, containing yet further generalization of G-inflation, as well as previous examples such as k-inflation, extended inflation, and new Higgs inflation as special cases. We investigate the background and perturbation evolution in this model, calculating the most general quadratic actions for tensor and scalar cosmological perturbations to give the stability criteria and the power spectra of primordial fluctuations. It is pointed out in the Appendix that the Horndeski theory and the generalized Galileons are equivalent. In particular, even the non-minimal coupling to the Gauss-Bonnet term is included in the generalized Galileons in a non-trivial manner.

18 pages; v2: Some equations and references are added; v3: Extended discussion on the relation among the Horndeski theory, the generalized Galileons, and the non-minimal coupling to the Gauss-Bonnet term: v4: final version accepted for publication in PTP

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• Tracker and scaling solutions in DHOST theories
• The Einstein dark energy model
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• Scalar and vector Galileons
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• Hairy Black-holes in Shift-symmetric Theories
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• Towards scaling cosmological solutions with full coupled Horndeski Lagrangian: the KGB model
• Constraints on massive vector dark energy models from integrated Sachs-Wolfe-galaxy cross-correlations
• No static sphericaly symmetric wormholes in Horndeski theory
• Linear stability of black holes in shift-symmetric Horndeski theories with a time-independent scalar field
• Primordial perturbations with pre-inflationary bounce
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• Gravitational waves from primordial scalar and tensor perturbations
• Mimicking dark matter in Horndeski gravity
• Non-Gaussian inflationary shapes in $G^3$ theories beyond Horndeski
• Higher order derivative coupling to gravity and its cosmological implications
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• Cosmological models in modified gravity theories with extended nonminimal derivative couplings
• Velocity-dependent interacting dark energy and dark matter with a Lagrangian description of perfect fluids
• Primordial magnetic fields from a non-singular bouncing cosmology
• Cosmological perturbation theory in Generalized Einstein-Aether models
• Universality for quintessence
• Horndeski in the Swampland
• Axial quasinormal modes of static neutron stars in the nonminimal derivative coupling sector of Horndeski gravity: spectrum and universal relations for realistic equations of state
• Anisotropic cosmological models in Horndeski gravity
• General formulation of cosmological perturbations in scalar-tensor dark energy coupled to dark matter
• Toward evading the strong coupling problem in Horndeski genesis
• Mechanism of primordial black holes production and secondary gravitational waves in $\alpha$-attractor Galileon inflationary scenario
• Properties of ultra-compact particle-like solutions in Einstein-scalar-Gauss-Bonnet theories
• Large fluctuations and Primordial Black Holes
• $\alpha$ attractors in Quintessential Inflation motivated by Supergravity
• Multi-disformal invariance of nonlinear primordial perturbations
• Spontaneous scalarization of charged black holes in the Scalar-Vector-Tensor theory
• The universe dominated by oscillating scalar with non-minimal derivative coupling to gravity
• Galileon and generalized Galileon with projective invariance in a metric-affine formalism
• New constraints on cosmological modified gravity theories from anisotropic three-point correlation functions of BOSS DR12 galaxies
• Primordial Non-Gaussianity from G-inflation
• Testing gravity theories using tensor perturbations
• Null energy condition violation during inflation and pulsar timing array observations
• Is the DBI scalar field as fragile as other $k$-essence fields?
• Computing model independent perturbations in dark energy and modified gravity
• The P-V Phase Transition of the FRW Universe
• Non-local $F(R)$-mimetic gravity
• Linear stability of black holes with static scalar hair in full Horndeski theories: generic instabilities and surviving models
• Spatially covariant gravity: Perturbative analysis and field transformations
• Comparison of different approaches to the quasi-static approximation in Horndeski models
• Black Hole Ringdown as a Probe for Dark Energy
• $\text{Hi-COLA}$: Fast, approximate simulations of structure formation in Horndeski gravity
• Primordial black holes formation and secondary gravitational waves in nonminimal derivative coupling inflation
• Topological black hole in the theory with nonminimal derivative coupling with power-law Maxwell field and its thermodynamics
• Wormholes in Einstein-scalar-Gauss-Bonnet theories with a scalar self-interaction potential
• Horndeski meets McVittie: A scalar field theory for accretion onto cosmological black holes
• Invertible disformal transformations with arbitrary higher-order derivatives
• Gravitational Landau Damping for massive scalar modes
• Inspiral gravitational waveforms from compact binary systems in Horndeski gravity
• Lorentzian Quintessential Inflation
• Well-tempered teleparallel Horndeski cosmology: a teleparallel variation to the cosmological constant problem
• Black hole perturbations in Maxwell-Horndeski theories
• A geometrical approach to degenerate scalar-tensor theories
• Black holes in quartic-order beyond-generalized Proca theories
• General theory of cosmological perturbations in open and closed universes from the Horndeski action
• Gravitational wave constraints on spatial covariant gravities
• Nanohertz gravitational waves from NEC violation in the early universe
• Higher derivative scalar-tensor theory and spatially covariant gravity: the correspondence
• Constant-roll inflation in the generalized SU(2) Proca theory
• Primordial tensor non-Gaussianities from general single-field inflation with non-Bunch-Davies initial states
• Coupled Multi-Proca Vector Dark Energy
• Reheating through the Higgs amplified by spinodal instabilities and gravitational creation of gravitons
• Study of eccentric binaries in Horndeski theory
• Polarization Modes of Gravitational Waves in Palatini Horndeski theory
• Alleviating $H_0$ tension in Horndeski gravity
• Dark energy in scalar-vector-tensor theories
• Conformal frames in cosmology
• Tidal Love Numbers from EFT of Black Hole Perturbations with Timelike Scalar Profile
• Proving the absence of large one-loop corrections to the power spectrum of curvature perturbations in transient ultra-slow-roll inflation within the path-integral approach
• Cosmology with a successful Vainshtein screening in theories beyond Horndeski
• Successful Higgs inflation from combined nonminimal and derivative couplings
• Ghostbusters in higher derivative supersymmetric theories: who is afraid of propagating auxiliary fields?
• General constraints on Horndeski wormhole throats
• Primordial non-Gaussianities of scalar and tensor perturbations in general bounce cosmology: Evading the no-go theorem
• Forecasts for Low Spin Black Hole Spectroscopy in Horndeski Gravity
• Testing f(R) gravity models with quasar X-ray and UV fluxes
• Generating enhanced primordial GWs during inflation with intermittent violation of NEC and diminishment of GW propagating speed
• The slow expansion with nonminimal derivative coupling and its conformal dual
• Primordial black holes from Higgs inflation with a Gauss-Bonnet coupling
• Do cosmological data rule out $f(\mathcal{R})$ with $w\ne -1$?
• The phenomenology of beyond Horndeski gravity
• Varying the Horndeski Lagrangian within the Palatini approach
• Higher derivative scalar-tensor theory through a non-dynamical scalar field
• Improved DHOST Genesis
• Hybrid Higgs Inflation: The Use of Disformal Transformation
• Quintessential Inflation from Lorentzian Slow Roll
• The general form of the coupled Horndeski Lagrangian that allows cosmological scaling solutions
• Cosmology of a Lorentz violating Galileon theory
• Implication of GW170817 for cosmological bounces
• Oscillating modulation to B-mode polarization from varying propagating speed of primordial gravitational waves
• Cosmological constraints and phenomenology of a beyond-Horndeski model
• Horndeski genesis: consistency of classical theory
• Consistency relation in power law G-inflation
• Slow-Roll Inflation with Exponential Potential in Scalar-Tensor Models
• Inherently stable effective field theory for dark energy and modified gravity
• Cosmological matching conditions and galilean genesis in Horndeski's theory
• Third order solutions of the cosmological density perturbations in the Horndeski's most general scalar-tensor theory with the Vainshtein mechanism
• Generalized 2D dilaton gravity and KGB
• Why Must Primordial Non-Gaussianity Be Very Small?
• Constraint on modified dispersion relations for gravitational waves from gravitational Cherenkov radiation
• Wave propagation and shock formation in the most general scalar-tensor theories
• Well-Tempered Minkowski Solutions in Teleparallel Horndeski Theory
• Probing Modified Gravity with Integrated Sachs-Wolfe CMB and Galaxy Cross-correlations
• Effective description of generalized disformal theories
• Quasi-normal modes of black holes in scalar-tensor theories with non-minimal derivative couplings
• Lunar Laser Ranging constraints on nonminimally coupled dark energy and standard sirens
• Beyond Fab Four
• Planar black holes configurations and shear viscosity in arbitrary dimensions with shift and reflection symmetric scalar-tensor theories
• Attracted to de Sitter II: cosmology of the shift-symmetric Horndeski models
• Preheating from target space curvature and unitarity violation: Analysis in field space
• 50 Years of Horndeski Gravity: Past, Present and Future
• Probing the speed of gravity with LVK, LISA, and joint observations
• Casimir Dark Energy, Stabilization of the Extra Dimensions and Gauss-Bonnet Term
• Disformal transformation of stationary and axisymmetric solutions in modified gravity
• Stability of relativistic stars with scalar hairs
• Theoretical priors in scalar-tensor cosmologies: Thawing quintessence
• Gravitational Wave Probe of High Supersymmetry Breaking Scale
• Scale-invariant perturbations from NEC violation: A new variant of Galilean Genesis
• Probing the primordial universe with gravitational waves detectors
• Massive gravity with non-minimal coupling
• Positivity in the effective field theory of cosmological perturbations
• Subluminal cosmological bounce beyond Horndeski
• Alleviating $H_0$ tension in scalar-tensor and bi-scalar-tensor theories
• Spatially covariant gravity with two degrees of freedom: perturbative analysis
• Generalized non-local $R^2$-like inflation
• Stability of Hairy Black Holes in Shift-Symmetric Scalar-Tensor Theories via the Effective Field Theory Approach
• Black hole stability under odd-parity perturbations in Horndeski gravity
• Trispectrum estimation in various models of equilateral type non-Gaussianity
• More on the first-order thermodynamics of scalar-tensor and Horndeski gravity
• Consistency of higher derivative couplings to matter fields in scalar-tensor gravity
• Vainshtein mechanism in Gauss-Bonnet gravity and Galileon aether
• Probing Massive Scalar Fields from a Pulsar in a Stellar Triple System
• Strong lensing by DHOST black holes
• Cold dark energy constraints from the abundance of galaxy clusters
• Generating cosmological perturbations in non-singular Horndeski cosmologies
• Consistent inflationary cosmology from quadratic gravity with dynamical torsion
• Slow-Roll Inflation in Scalar-Tensor Models
• Inflationary gravitational waves in the effective field theory of modified gravity
• Disformal Transformations in Scalar-Torsion Gravity
• Testing Horndeski gravity with S2 star orbit
• Cosmological disformal transformations to the Einstein frame and gravitational couplings with matter perturbations
• Linear perturbations of Einstein-Gauss-Bonnet black holes
• On Derrick's theorem in curved spacetime
• Bouncing Cosmology in VCDM
• Well-posedness of cubic Horndeski theories
• Off-shell Noether current and conserved charge in Horndeski theory
• Disforming to Conformal Symmetry
• New scaling solutions in cubic Horndeski theories
• Canonical invariance of spatially covariant scalar-tensor theory
• The CMB lensing bi-spectrum as a probe of modified gravity theories
• Stealth black holes in shift symmetric kinetic gravity braiding
• Spontaneous "Scalar-Vector Galileons" from "Weyl bi-Connection" model
• Suppression of matter couplings with a vector field in generalized Proca theories
• Searching for modified gravity in the astrophysical gravitational wave background: Application to ground-based interferometers
• Implication of Pulsar Timing Array Experiments on Cosmological Gravitational Wave Detection
• Perturbative unitarity and NEC violation in genesis cosmology
• Scalar-Tensor Gravity and DESI 2024 BAO data
• Scalar field perturbation around a rotating hairy black hole: quasinormal modes, quasibound states and superradiant instability
• FeynGrav 2.0
• Ghost and Laplacian Instabilities in the Teleparallel Horndeski Gravity
• 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
• Exploring the black hole spectrum of axionic Horndeski theory
• Modified gravity in the interior of population II stars
• Quantum Stability of Generalized Proca Theories
• Testing gravity theories with cosmic microwave background in the degenerate higher-order scalar-tensor theory
• A metric-affine version of the Horndeski theory
• Quasi-Normal Modes of Hairy Scalar Tensor Black Holes: Odd Parity
• Horndeski gravity without screening in binary pulsars
• Most general cubic-order Horndeski Lagrangian allowing for scaling solutions and the application to dark energy
• Reconstructing G-inflation: From the attractors $n_S(N)$ and $r(N)$
• Stable black holes in shift-symmetric Horndeski theories
• Primordial non-Gaussianities of gravitational waves beyond Horndeski
• Universal instability of hairy black holes in Lovelock-Galileon theories in D dimensions
• Testing a generalized cubic Galileon gravity model with the Coma Cluster
• Constraining modified gravity from tidal phenomena in binary stars
• Constraints on dark energy models from the Horndeski theory
• Constraining Horndeski theory with gravitational waves from coalescing binaries
• G-Warm inflation
• Testing the Speed of Gravity with Black Hole Ringdown
• Large-scale structure in mimetic Horndeski gravity
• Superradiant energy extraction from rotating hairy Horndeski black holes
• Existence and disappearance of conical singularities in Gleyzes-Langlois-Piazza-Vernizzi theories
• Propagation of scalar and tensor gravitational waves in Horndeski theory
• Reconciling early dark energy with a Harrison-Zeldovich spectrum
• Phantom crossing dark energy in Horndeski's theory
• Self-anisotropizing inflationary universe in Horndeski theory and beyond
• Distinguishing modified gravity with just two tensorial degrees of freedom from general relativity: Black holes, cosmology, and matter coupling
• The primordial black hole from running curvaton
• Evading the theoretical no-go theorem for nonsingular bounces in Horndeski/Galileon cosmology
• Revisiting slow-roll dynamics and the tensor tilt in general single-field inflation
• Constraining DHOST theories with linear growth of matter density fluctuations
• Well-Tempered Cosmology
• Stability Conditions in the Generalized SU(2) Proca Theory
• Higgs inflation with non-minimal derivative coupling to gravity
• Constraining extended cosmologies with GW$\times$LSS cross-correlations
• Cosmological Probes of Structure Growth and Tests of Gravity
• Production of non-gaussianities in a bouncing phase
• Higher derivative scalar-tensor theory from the spatially covariant gravity: a linear algebraic analysis
• Holographic complexity for black branes with momentum relaxation
• Generalized Galileon Model -- cosmological reconstruction and the Vainshtein mechanism --
• The renormalization of fluctuating branes, the Galileon and asymptotic safety
• Inflation in supergravity without Kahler potential
• Covariant 3+1 correspondence of the spatially covariant gravity and the degeneracy conditions
• Singularities in Spherically Symmetric Solutions with Limited Curvature Invariants
• Coupling between Galileon and massive gravity with composite metrics
• Attracted to de Sitter: cosmology of the linear Horndeski models
• Cubic Derivative Interactions and Asymptotic Dynamics of the Galileon Vacuum
• Note on Reheating in G-inflation
• Scalar tensor Horndeski models: simple cosmological applications
• New DBI Inflation model with Kinetic Coupling to Einstein Gravity
• Cosmological evolution of viable models in the generalized scalar-tensor theory
• Reconstructing k-essence: Unifying the attractor $n_S(N)$ and the swampland criteria
• Effective field theory of degenerate higher-order inflation
• Parameterised post-Newtonian formalism for the effective field theory of dark energy via screened reconstructed Horndeski theories
• Standard model Higgs field and hidden sector cosmology
• A Modal Approach to the Numerical Calculation of Primordial non-Gaussianities
• Conical singularities and the Vainshtein screening in full GLPV theories
• Testing gravity with gravitational wave friction and gravitational slip
• Gravitational-wave constraints on scalar-tensor gravity from a neutron star and black-hole binary GW200115
• Integrability from Point Symmetries in a family of Cosmological Horndeski Lagrangians
• Cosmology with subdominant Horndeski scalar field
• DBI Galileon inflation in the light of Planck 2015
• CMB constraints on DHOST theories
• Kinetic Gravity Braiding and axion inflation
• Cosmological stability in $f(\varphi ,\mathcal{G})$ gravity
• The Scale Factor Potential Approach to Inflation
• Gauge-ready formulation of cosmological perturbations in scalar-vector-tensor theories
• Instability of scalarized compact objects in Einstein-scalar-Gauss-Bonnet theories
• Growth of non-linear structures and spherical collapse in the Galileon Ghost Condensate model
• Instability of compact stars with a nonminimal scalar-derivative coupling
• Emergence of time in power-counting renormalizable Riemannian theory of gravity
• G-inflation: From the intermediate, logamediate and exponential models
• Complete Hamiltonian analysis of cosmological perturbations at all orders
• Spatially covariant gravity with a dynamic lapse function
• Stability of Singularity-free Cosmological Solutions in Hořava-Lifshitz Gravity
• Cosmologically viable generalized Einstein-Aether theories
• Regular BTZ black holes from an infinite tower of corrections
• Stability of Hybrid Higgs Inflation
• Phantom Behavior Bounce with Tachyon and Non-minimal Derivative Coupling
• Horndeski dark matter and beyond
• Chiral gravitational waves and primordial black holes in UV-protected Natural Inflation
• Plane waves in the generalized Galileon theory
• Quintessence in the Weyl-Gauss-Bonnet model
• Multi-fluid cosmology in Einstein gravity: analytical solutions
• Are Scalar and Tensor Deviations Related in Modified Gravity?
• The Well-Tempered Cosmological Constant: The Horndeski Variations
• Constraining Palatini-Horndeski theory with gravitational waves after GW170817
• Let Effective Field Theory of Inflation flow: stochastic generation of models with red/blue tensor tilt
• A local self-tuning mechanism for the cosmological constant
• Dynamical Complexity in Teleparallel Gauss-Bonnet Gravity
• Quadratic DHOST theories revisited
• Reviving Horndeski after GW170817 by Kaluza-Klein compactifications
• Scalar-tensor cosmologies without screening
• Constraining dark sector perturbations II: ISW and CMB lensing tomography
• Causal structure of black holes in shift-symmetric Horndeski theories
• Dark sector evolution in Horndeski models
• Post-Newtonian $\gamma$-like parameters and the gravitational slip in scalar-tensor and $f(R)$ theories
• CMB B-mode auto-bispectrum produced by primordial gravitational waves
• Dark energy loopholes some time after GW170817
• Dark matter relic density from conformally or disformally coupled light scalars
• Solitons and black hole in shift symmetric scalar-tensor gravity with cosmological constant
• Black hole minimum size and scalar charge in shift-symmetric theories
• UV sensitive one-loop matter power spectrum in degenerate higher-order scalar-tensor theories
• Noether symmetry in Horndeski Lagrangian
• Singularity resolution and inflation from an infinite tower of regularized curvature corrections
• Dynamically Generated Inflationary Lambda-CDM
• New Dynamical Degrees of Freedom from Invertible Transformations
• Galileon intermediate inflation
• Testing gravity with halo density profiles observed through gravitational lensing
• Ghost-free vector superfield actions in supersymmetric higher-derivative theories
• Proca stars with nonminimal coupling to the Einstein tensor
• Bounds from ISW-galaxy cross-correlations on generalized covariant Galileon models
• Perturbations in generalized Galileon theories
• One-loop effective scalar-tensor gravity
• Resurrecting the exponential and inverse power-law potentials in non-canonical inflation
• Transformation of Primordial Cosmological Perturbations Under the General Extended Disformal Transformation
• Gravitational constant in multiple field gravity
• Nonlinear superhorizon curvature perturbation in generic single-field inflation
• Testing Non-minimally Coupled BEC Dark Matter with Gravitational Waves
• Stable cosmological solutions in Horndeski theory
• Conformally and Disformally Coupled Vector field Models of Dark Energy
• Primordial non-Guassianity in inflation with gravitationally enhanced friction
• Perturbative region on non-Gaussian parameter space in single-field inflation
• Black hole perturbations in higher-order scalar-tensor theories: initial value problem and dynamical stability
• Resonant amplification of curvature perturbations in inflation model with periodical derivative coupling
• Instability of hairy black holes in regularized 4-dimensional Einstein-Gauss-Bonnet gravity
• Revisiting Vainshtein Screening for fast N-body simulations
• Cosmological Tests of Gravity: A Future Perspective
• Modeling scalar fields consistent with positive mass
• Positivity bounds on reconstructed Horndeski models
• Numerical Relativity and High Energy Physics: Recent Developments
• Large tensor mode, field range bound and consistency in generalized G-inflation
• Large Non-Gaussianity in Slow-Roll Inflation
• Why does the effective field theory of inflation work?
• Nonsingular black holes and spherically symmetric objects in nonlinear electrodynamics with a scalar field
• The exterior spacetime of relativistic stars in scalar-Gauss-Bonnet gravity
• Cosmological effects of the Galileon term in Scalar-Tensor Theories
• Complete Hamiltonian analysis of cosmological perturbations at all orders II: Non-canonical scalar field
• Weak gravity on a $\Lambda$CDM background
• Non-minimally coupled quintessence DE model with a cubic galileon term --A Dynamical System Analysis
• Primordial non-Gaussianity from Galilean Genesis without strong coupling problem
• Redshift space distortions in the presence of non-minimally coupled dark matter
• Primordial Black Holes Dark Matter and Secondary Gravitational Waves from Warm Higgs-G Inflation
• Tailoring cosmologies in cubic shift-symmetric Horndeski gravity
• Fab Four Effective Field Theory Treatment
• Jointly fitting weak lensing, X-ray and Sunyaev-Zel'dovich data to constrain scalar-tensor theories with clusters of galaxies
• The Well-Tempered Cosmological Constant: Fugue in B${}^{♭}$
• Functors of actions
• Generalised Proca Theories in Teleparallel Gravity
• Beyond Einstein's General Relativity
• The non-minimal coupling constant and the primordial de Sitter state
• Chaotic Inflation and Reheating in Generalized Scalar-Tensor Gravity
• Spatially covariant gravity with nonmetricity
• Effective potential of scalar-tensor gravity with quartic self-interaction of scalar field
• Non-Gaussian Features of Primordial Gravitational Waves
• Modified gravity as a diagravitational medium
• Towards the extended SU(2) Proca theory
• Higher Derivative Scalar Tensor Theory in Unitary Gauge
• Testing gravity with the cosmic microwave background: constraints on modified gravity with two tensorial degrees of freedom
• Exploring cosmological imprints of phantom crossing with dynamical dark energy in Horndeski gravity
• Critical collapse in K-essence models
• The Effective Fluid approach for Modified Gravity and its applications
• Data-driven and Almost Model-independent Reconstruction of Modified Gravity
• Inflation with Derivative Self-interaction and Coupling to Gravity
• Ghost free boson-fermion co-existence system
• Axial perturbations of hairy black holes in generalised scalar-tensor theories
• Black holes in a new gravitational theory with trace anomalies
• Relativistic Corrections to the Growth of Structure in Modified Gravity
• Non-canonical kinetic structures in the swampland
• On post-inflation validity of perturbation theory in Horndeski scalar-tensor models
• Reconstruction method in the kinetic gravity braiding theory with shift-symmetric
• Self-tuning kinetic gravity braiding: Cosmological dynamics, shift symmetry, and the tadpole
• Horndeski Proca stars with vector hair
• Global Portraits of Nonminimal Inflation: Metric and Palatini
• Extreme Mass Ratio Inspirals with Scalar Hair
• Quasinormal modes of hairy black holes in shift-symmetric theories
• Absence of solid angle deficit singularities in beyond-generalized Proca theories
• Birth of de Sitter Universe from time crystal
• Vector Galileon and inflationary magnetogenesis
• Fully relativistic predictions in Horndeski gravity from standard Newtonian N-body simulations
• Horndeski theories and beyond from higher dimensions
• Effective Potential of Scalar-Tensor Gravity
• Goldstone models of modified gravity
• Hair-dressing Horndeski: an approach to hairy solutions in cubic Horndeski gravity
• First test of the consistency relation for the large-scale structure using the anisotropic three-point correlation function of BOSS DR12 galaxies (An explanatory video is available at https://youtu.be/Zi36ooLPhss.)
• 21 cm power spectrum in interacting cubic Galileon model
• Scalar-tensor black holes in an expanding universe
• Testing theories of Gravity and Supergravity with inflation and observations of the cosmic microwave background
• K-essence in Horndeski models
• Reconciling tensor and scalar observables in G-inflation
• Simple numerical implementation of general dark energy models
• Composite Inflation confronts BICEP2 and PLANCK
• Ringdowns for black holes with scalar hair: the large mass case
• 2-form gauge theory dual to scalar-tensor theory
• Emergence of ghosts in Horndeski theory
• Stars disformally coupled to a shift-symmetric scalar field
• Stable Singularity-free Cosmological Solutions in non-projectable Horava-Lifshitz Gravity
• Stability of neutron stars in Horndeski theories with Gauss-Bonnet couplings
• Stable cosmological solutions in degenerate theory of gravity
• $k$-essence non-minimally coupled with Gauss-Bonnet invariant for inflation
• Understanding large scale CMB anomalies with the generalized non-minimal derivative coupling during inflation
• Null energy condition violation and beyond Horndeski physics in light of DESI DR2 data
• Black hole ringdown from physically sensible initial value problem in higher-order scalar-tensor theories
• Covariant conserved currents for scalar-tensor Horndeski theory
• Phantom attractors in Kinetic Gravity Braiding theories: a dynamical system approach
• Testing generalized scalar-tensor theories of gravity with clusters of galaxies
• Stealth Ellis Wormholes In Horndeski theories
• Scalar-Gauss-Bonnet model, the coincidence problem and the gravitational wave speed
• A general proof of the equivalence between the δN and covariant formalisms
• Constraining Galileon Inflation
• Braneworlds with field derivative coupling to the Einstein tensor
• Disformal transformation of physical quantities associated with relativistic stars
• Gradient expansion of superhorizon perturbations in G-inflation
• Screening and degenerate kinetic self-acceleration from the nonlinear freedom of reconstructed Horndeski theories
• Stealth black hole perturbations in kinetic gravity braiding
• Proca-stinated Cosmology I: A N-body code for the vector Galileon
• Bigravity and Horndeski gravity connected by a disformal coupling
• On tachyonic stability priors for dark energy
• Second-order peculiar velocity field as a novel probe of scalar-tensor theories
• Anti-screening of the Galileon force around a disk center hole
• Effective speed of gravitational waves
• Charged Boson Stars and Black Holes with Non-Minimal Coupling to Gravity
• Cosmological Dynamics of D-BIonic and DBI Scalar Field and Coincidence Problem of Dark Energy
• Strong Gravitational Lensing in Horndeski theory
• Stability of nonsingular cosmologies in Galileon models with torsion. A no-go theorem for eternal subluminality
• The cosmic trimmer: Black-hole hair in scalar-Gauss-Bonnet gravity is altered by cosmology
• Global conformal symmetry in scalar-tensor theories
• Derivative couplings in massive bigravity
• Chromo-natural inflation supported by enhanced friction from Horndeski gravity
• Post-Newtonian Dynamics of Spinning Black Hole Binaries in Einstein-Scalar-Gauss-Bonnet Gravity
• To stealth or not to stealth: Thermodynamics of stealth black holes
• Causality and Stability from Acoustic Geometry
• Superluminality in dilatationally invariant generalized Galileon theories
• Effective geometrodynamics for renormalization-group improved black-hole spacetimes in spherical symmetry
• Scalar Dark Energy Models and Scalar-Tensor Gravity: Theoretical Explanations for the Accelerated Expansion of Present Universe
• Symmetric Teleparallel Gauss-Bonnet Gravity and its Extensions
• Covariant Effective Action for Generalized Proca Theories
• Decoupling-limit consistency of the generalized SU(2) Proca theory
• Generalized disformal invariance of cosmological perturbations with second-order field derivatives
• Anti-de Sitter neutron stars in the theory of gravity with nonminimal derivative coupling
• On adiabatic invariant in generalized Galileon theories
• Non-Gaussianities in generalized non-local $R^2$-like inflation
• Black holes in the quadratic-order extended vector-tensor theories
• Generation of neutrino dark matter, baryon asymmetry, and radiation after quintessential inflation
• Beyond Horndeski interactions induced by quantum effects
• Ghost-free resummation of gravitational interactions of a 2-form gauge field
• Angular and radial stabilities of spontaneously scalarized black holes in the presence of scalar-Gauss-Bonnet couplings
• Quansinormal modes of static and spherically symmetric black holes with the derivative coupling
• Black hole perturbations in spatially covariant gravity with just two tensorial degrees of freedom
• FeynGrav 3.0
• Disformally self-tuning gravity
• Reconstruction in the Horndeski theory within the scope of the Bianchi I cosmology
• Scalar fields with derivative coupling to curvature in the Palatini and the metric formulation
• Modified natural inflation: A small single field model with a large tensor to scalar ratio
• Ghostbusters in $f(R)$ supergravity
• General analysis of Noether symmetries in Horndeski gravity
• Regular black holes from pure gravity in four dimensions
• Strong Equivalence Principle and Gravitational Wave Polarizations in Horndeski Theory
• Potential-driven Inflation with Disformal Coupling to Gravity
• Graviton-photon oscillation in alternative theories of gravity
• An issue with the classification of the scalar-tensor theories of gravity
• G-Warm inflation: Intermediate model
• Instability of Static Semi-Closed Worlds in Generalized Galileon Theories
• Gravitational wave stochastic background in reduced Horndeski theories
• Symmetric wormholes in Einstein-vector-Gauss-Bonnet theory
• Healthy Horndeski cosmologies with torsion
• All $2D$ generalised dilaton theories from $d\ge 4$ gravities
• Dynamics of holographic dark energy with apparent-horizon cutoff and non-minimal derivative coupling gravity in non-flat FLRW universe
• Gödel-type Solutions in Cubic Galileon Gravity
• Shift-symmetric $SO(N)$ multi-Galileon
• BICEP2 constrains Composite Inflation
• Static Spherically Symmetric solutions in a subclass of Horndeski theories of gravity
• Coupled vector Gauss-Bonnet theories and hairy black holes
• The speed of gravitational waves and power-law solutions in a scalar-tensor model
• Gravity and Nonlinear Symmetry Realisation
• On the strong coupling scale in Higgs G-inflation
• Quartic Horndeski-Cartan theories in a FLRW universe
• Constraint on ghost-free bigravity from gravitational Cherenkov radiation
• Warm inflation in Horndeski gravity
• Ghost-free scalar-fermion interactions
• Purely metric Horndeski theories and spontaneous curvaturization of black holes
• Hairy Black Holes by Spontaneous Symmetry Breaking
• Can Horndeski Genesis be Nonpathological?
• Cosmology of fermionic dark energy coupled to curvature
• Spatial correlations of dark energy from quantum fluctuations in inflation
• The Stringy Origins of Galileons and their Novel Limit
• The reheating constraints to natural inflation in Horndeski gravity
• New model of spontaneous scalarization of black holes induced by curvature and matter
• Linear stability of vector Horndeski black holes
• Climbing over the potential barrier during inflation via null energy condition violation
• Linear analysis of the gravitational beam-plasma instability
• The nonlinear anisotropic model of the Universe with the linear potential
• Optimistic estimation on probing primordial gravitational waves with CMB B-mode polarization
• Cosmology in theories with spontaneous scalarization of neutron stars
• On the well-posed variational principle in degenerate point particle systems using embeddings of the symplectic manifold
• Studying G-axion Inflation model in light of PLANCK
• Effects of the modification of gravity on the production of primordial black holes
• Oscillating solutions of the matter density contrast in Horndeski's theory
• Ghost Free Theory in Unitary Gauge: A New Candidate
• Effective field theory of coupled dark energy and dark matter
• Properties of perturbations in beyond Horndeski theories
• Static topological black hole with nonminimal derivative coupling and nonlinear electromagnetic field of Born-Infeld type
• Proca-stinated Cosmology II: Matter, Halo, and Lensing Statistics in the vector Galileon
• Fab Four self-interaction in quantum regime
• Gravitational-wave effects in the most general vector-tensor theory
• New measures to test modified gravity cosmologies
• Exact solutions in a scalar-tensor model of dark energy
• Stability Conditions for the Horndeski Scalar Field Gravity Model
• Higher-Order Spectra of Weak Lensing Convergence Maps in Parameterized Theories of Modified Gravity
• Canonical structure of minimal varying $\Lambda$ theories
• Modified propagation of gravitational waves from the early radiation era
• Extending the symmetry of the massless Klein-Gordon equation under the general disformal transformation
• Tidal Love Numbers of Neutron Stars in Horndeski Theories
• Generating large primordial fluctuations in single-field inflation for PBH formation
• Field transformations and invariant quantities in scalar-teleparallel theories of gravity
• Vainshtein mechanism in massive gravity nonlinear sigma models
• On two body gravitational scattering within perturbative gravit
• Shock waves as branes with throats
• K-mouflage at high $k$: extending the reach of $\text{Hi-COLA}$
• Large $r$ against Trans-Planckian Censorship in Scalar-Tensor Theory?
• On the global Gaussian bending measure and its applications in stationary spacetimes
• Effective speed of cosmological perturbations
• Bi-Connected Gauss-Bonnet Gravity
• Generic analysis of kinetically driven inflation
• Scalar-tensor theories of gravity from a thermodynamic viewpoint
• Primordial gravitational waves and curvature perturbations induced energy density perturbation
• The primordial non-Gaussianities for non-singular Horndeski cosmologies
• Skewness consistency relation in large-scale structure and test of gravity theory
• PPN meets EFT of dark energy: Post-Newtonian approximation in higher-order scalar-tensor theories
• Magnetic Bianchi-I cosmology in the Horndeski theory
• A general method for the construction of stable Galileon models consistent with the Planck data results
• Constraining the modified friction in gravitational wave propagation with precessing black hole binaries
• KiDS-Legacy: Constraints on Horndeski gravity from weak lensing combined with galaxy clustering and cosmic microwave background anisotropies
• Symmetry restoration in the vicinity of neutron stars with a nonminimal coupling
• 'Constraint consistency' at all orders in Cosmological perturbation theory
• Modified Friedmann equations and non-singular cosmologies in $d=4$ non-polynomial quasi-topological gravities
• Cosmological Dynamics and Double Screening of DBI Galileon Gravity
• Inflaton as a pseudo-Goldstone boson of vacuum energy shift symmetry
• Innermost stable circular orbits of neutron stars in dilatonic-Einstein-Gauss-Bonnet theory
• The Inflationary Dynamics with the Scalar-Tensor Model
• Power-law expansion and Higgs-type potential in a scalar-tensor model
• Gauge invariant perturbations in teleparallel Horndeski gravity
• Hamiltonian Analysis of Nonlocal F(R) Gravity Models
• Cosmology in holographic non-minimal derivative coupling theory: constraints from inflation and variation of gravitational constant
• Vainshtein screening in Horndeski theories nonminimally and kinetically coupled to ordinary matter
• Generalized Galileon Scenario Inspires Chaotic Inflation
• FeynGrav and Recent Progress in Computational Perturbative Quantum Gravity
• Dark matter candidate induced by Horndeski theory: dark matter halo and cosmological evolution
• Light-like shockwaves in scalar-tensor theories
• Topological Classification of a 4D AdS Black Hole with Non-Minimal Maxwell Coupling
• Even-parity stability of hairy black holes in $U(1)$ gauge-invariant scalar-vector-tensor theories
• $n+1$ formalism of $f($Lovelock$)$ gravity
• Two-dimensional (bi-)scalar gravities from four-dimensional Horndeski
• Classical Solutions of Higher-Derivative Theories
• On phenomenological parametrizations for the luminosity distance of gravitational waves
• Constructing $p,n$-forms from $p$-forms via the Hodge star operator and the exterior derivative
• Implications of pulsar timing arrays for Gauss-Bonnet Inflation
• Strong coupling and instabilities in singularity-free inflation from an infinite sum of curvature corrections
• Consistency Relation and Non-Gaussianity in a Galileon Inflation
• Removing Ostrogradski's ghost from cosmological perturbations in $f(R,R_{\mu \nu }^2,C_{\mu \nu \rho \sigma }^2)$ gravity
• Hairy black holes in extended Einstein-Maxwell-scalar theories with magnetic charge and kinetic couplings
• Cuscuton-like contribution to dark energy evolution
• Dynamical Shortcomings in the Generalized SU(2) Proca Theory: Challenges for Cosmic Acceleration
• Black Holes in Einstein-scalar-Gauss-Bonnet model probed with scattering amplitudes
• Constraining matter-bounce scenario from scalar-induced vector perturbations
• Nutty black holes in galileon scalar-tensor gravity
• Inflation with the Chern-Simons term in the Palatini formulation
• Theoretical priors in scalar-tensor cosmologies: Shift-symmetric Horndeski models
• Equatorial orbits and imaging of hairy cubic Galileon black holes
• Gravitational dynamics in a 2+1+1 decomposed spacetime along nonorthogonal double foliations: Hamiltonian evolution and gauge fixing
• Realization of blue spectrum in generalized Galileon super-inflation models
• Stability in higher-derivative matter fields theories
• A Proposal for Constraining Initial Vacuum by CMB
• Constraints on a scalar-tensor model with Gauss-Bonnet coupling from SN Ia and BAO observations
• A new mechanism for freezing extra dimensions with higher-order curvature terms
• Stochastic gravitational wave background anisotropies from inflation with non-Bunch-Davies states
• Horndeski in motion
• Extremal cosmological black holes in Horndeski gravity and the anti-evaporation regime
• Cosmological scalar perturbations in Horndeski-like gravity
• Gravitational waves in massive Horndeski theory with a potential
• Instability of regular planar black holes in four dimensions arising from an infinite sum of curvature corrections
• Dark energy constraints in light of theoretical priors
• Cosmological dynamics of holographic dark energy with non-minimally coupled scalar field
• Stealth black hole solutions in higher-order Maxwell-Einstein theories
• Unique gravitational wave signatures of GLPV scalar-tensor theories
• Stationary Einstein-vector-Gauss-Bonnet black holes
• Reheating after relaxation of large cosmological constant
• Horndeski model in nonlinearly realized supergravity
• Cosmological perturbations in the spatially covariant gravity with a dynamical lapse function
• An ostentatious model of cosmological scalar-tensor theory
• Scalarized Black Holes
• A Bit Rate Bound on Superluminal Communication
• Doubly coupled matter fields in massive bigravity
• Post-Newtonian limit of generalized scalar-teleparallel theories of gravity
• Intermediate inflation in generalized non-minimal derivative coupling model
• Cosmic acceleration from string induced Galileons
• Reformulating Scalar-Tensor Field Theories as Scalar-Scalar Field Theories Using a Novel Geometry
• Black hole sensitivities in Einstein-scalar-Gauss-Bonnet gravity
• The Hidden Scalar Lagrangians within Horndeski Theory
• Effective Field Theory of Hairy Black Holes and Their flat/dS limit
• Cuscuta-Galileon Braneworlds
• Probing gravity beyond general relativity with bispectrum multipoles of cosmological tracers: I. Theoretical Foundations
• Non-minimal Effective Scalar-Tensor Gravity in the Early Universe
• Inflationary spectral tilts as a result of the dilatation symmetry breaking
• Beyond $f(\varphi )\mathcal{G}$: Gauss--Bonnet inflation with $\mu (\varphi ,X)$
• Avoiding recollapse in an open-AdS universe via a self-tuning-like mechanism
• An effective fluid description of scalar-vector-tensor theories under the sub-horizon and quasi-static approximations
• Inflation with the Gauss-Bonnet term in the Palatini formulation
• Complex Inflaton Potentials with Nonminimal Coupling: Robust Inflation and Geometric Reheating
• EFT of Dark Energy with Cosmic Chronometers: Reconstructing Background EFT Functions
• Inflation in simple one-loop effective potentials of perturbative quantum gravity
• Covariant single-field formulation of effective cosmological bounces
• Straight and Wiggly Cosmic Strings in Horndeski Theory
• Holographic Conformal Anomaly and a-Theorem in 5D Scalar-Tensor Theories from Heterotic Strings
• Primordial black holes and scalar induced gravitational waves from sound speed resonance in non-minimal derivative coupling inflation model
• No-Go theorem in the cubic subclass of Horndeski theory for spherically symmetric dynamical background
• Testing No slip model with pulsar timing arrays: NANOGrav and IPTA
• Multisymplectic Formalism for Cubic Horndeski Theories
• Kinetically stabilized inflation
• Scalar Cherenkov radiation from high-energy cosmic rays
• New effective theories of gravitation and their phenomenological consequences
• Black Hole Zeroth Law in Horndeski Gravity