Perturbations in k-inflation

Abstract

We extend the theory of cosmological perturbations to the case when the ``matter'' Lagrangian is an arbitrary function of the scalar field and its first derivatives. In particular, this extension provides a unified description of known cases such as the usual scalar field and the hydrodynamical perfect fluid. In addition, it applies to the recently proposed k-inflation, which is driven by non-minimal kinetic terms in the Lagrangian. The spectrum of quantum fluctuations for slow-roll and power law k-inflation is calculated. We find, for instance, that the usual ``consistency relation'' between the tensor spectral index and the relative amplitude of scalar and tensor perturbations is modified. Thus, at least in principle, k-inflation is phenomenologically distinguishable from standard inflation.

12 pages, LaTeX

Cited by in corpus (874)

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• Enhanced Inflation in the Dirac-Born-Infeld framework
• Chain inflation revisited
• Cosmological aspects of $f(R,T)$ gravity in a simple model with a parametrization of $q$
• Trispectrum estimation in various models of equilateral type non-Gaussianity
• Cosmological evolution of equation of state for dark energy in G-essence models
• Dark energy and supermassive black holes
• K-field kinks in two-dimensional dilaton gravity
• Modelling non-dust fluids in cosmology
• Geometrical diagnostic for purely kinetic k-essence dark energy
• Anatomy of bispectra in general single-field inflation -- modal expansions
• Generating cosmological perturbations in non-singular Horndeski cosmologies
• Multiple Inflationary Stages with Varying Equation of State
• Power spectra in warm G-inflation and its consistency: stochastic approach
• Reheating constraints on Tachyon Inflation
• Inflation in DBI models with constant gamma
• Chaplygin gas may prevent big trip
• Inflation with Massive Vector Fields
• A tensor theory of space-time as a strained material continuum
• Non-perturbative procedure for stable $K$-brane
• Accretion of Chaplygin gas upon black holes: Formation of faster outflowing winds
• CMB-Galaxy correlation in Unified Dark Matter Scalar Field Cosmologies
• DBI Galileon in the Effective Field Theory of Inflation: Orthogonal non-Gaussianities and constraints from the Trispectrum
• Preheating with the Brakes On: The Effects of a Speed Limit
• Quantum Cosmological Perturbations of Generic Fluids in Quantum Universes
• Study of parametrized dark energy models with a general non-canonical scalar field
• Induced Gravitational Waves from Multi-Sound Speed Resonances during Cosmological Inflation
• Seeding supermassive black holes with a non-vortical dark-matter subcomponent
• Cosmological scalar field perturbations can grow
• Lagrangian description of cosmic fluids: mapping dark energy into unified dark energy
• The Classical Stability Of The Ghost Condensate
• Beyond Analog Gravity: The Case of Exceptional Dynamics
• On the initial value problem for second order scalar fluctuations in Einstein static
• Tilt and Running of Cosmological Observables in Generalized Single-Field Inflation
• Fields Annihilation and Particles Creation in DBI inflation
• A geometric bound on F-term inflation
• Gravitational resonances on $f(R)$-brane
• Latest data constraint of some parameterized dark energy models
• Inflation without Inflaton(s)
• Discrimination between Lambda-CDM, quintessence, and modified gravity models using wide area surveys
• No evidence for the blue-tilted power spectrum of relic gravitational waves
• Infrared modified gravity with propagating torsion: instability of torsionfull de Sitter-like solutions
• Non-locality in Quantum Field Theory due to General Relativity
• Deviation from $\Lambda$CDM: Pressure Parametrization
• Cosmological perturbations in $k$-essence model
• Growth of perturbations in dark energy parametrization scenarios
• The effective field theory of K-mouflage
• Natural Inflation with non minimal coupling to gravity in $R^2$ gravity under the Palatini formalism
• $K$-field kinks: stability, exact solutions and new features
• Hidden geometries in nonlinear theories: a novel aspect of analogue gravity
• Inflationary universe in the presence of a minimal measurable length
• Observational constraints on assisted k-inflation
• QCD modified ghost scalar field dark energy models
• FRW universe in the laboratory
• The primordial black hole from running curvaton
• Primordial black holes generated by fast-roll mechanism in non-canonical natural inflation
• Primordial power spectrum at N3LO in effective theories of inflation
• A semi-analytical approach to perturbations in mutated hilltop inflation
• Entropy In The Present And Early Universe: New Small Parameters And Dark Energy Problem
• In search of an observational quantum signature of the primordial perturbations in slow-roll and ultra slow-roll inflation
• Influences of Dark Energy and dark matter on Gravitational Time Advancement
• The Degeneracy Problem in Non-Canonical Inflation
• Inflation with non-canonical scalar fields revisited
• Chain inflation and the imprint of fundamental physics in the CMBR
• Gaussian-process reconstructions and model building of quintom dark energy from latest cosmological observations
• Geometrically Consistent Approach to Stochastic DBI Inflation
• Constraints on the generalized tachyon field models from latest observational data
• Vacuum Solution of a Linear Red-Shift Based Correction in $f(R)$ Gravity
• Mimetic Inflation
• Rigidity of cosmic acceleration in a class of k-essence cosmologies
• Squeezed primordial bispectrum from general vacuum state
• Reconstructing k-essence: Unifying the attractor $n_S(N)$ and the swampland criteria
• Primordial non-Gaussianity in noncanonical warm inflation
• The universe out of a breathing bubble
• Inflation and the cosmological (not-so) constant in unimodular gravity
• Analytical self-dual solutions in a nonstandard Yang-Mills-Higgs scenario
• Theoretical and observational constraints on Tachyon Inflation
• Quintessence as k-essence
• Strong Coupling Problem with Time-Varying Sound Speed
• Observable Gravitational Waves from Hyperkination in Palatini Gravity and Beyond
• Scalar field-perfect fluid correspondence and nonlinear perturbation equations
• Scale-dependent non-Gaussianities in the WMAP data as identified by using surrogates and scaling indices
• Complete Hamiltonian analysis of cosmological perturbations at all orders
• Non-commutative Geometry Modified Non-Gaussianities of Cosmological Perturbation
• Effective field theory of statistical anisotropies for primordial bispectrum and gravitational waves
• Trispectrum versus Bispectrum in Single-Field Inflation
• Spatially covariant gravity with a dynamic lapse function
• Inflation in generalized unimodular gravity
• A note on Low Energy Effective Theory of Chromo Natural Inflation in the light of BICEP2 results
• Dynamics of generalized tachyon field
• K-essence and kinetic gravity braiding models in two-field measure theory
• Scalar Field Perturbations with Arbitrary Potentials in Quantum Backgrounds
• Periodic Cosmological Evolutions of Equation of State for Dark Energy
• Kinks in higher derivative scalar field theory
• Inflationary model in minimally modified gravity theories
• Hubble multi-scalar inflation
• The Scale Factor Potential Approach to Inflation
• Tachyon inflation in the holographic braneworld
• Perturbation spectra in the warm $k$-inflation
• Nonlinear superhorizon perturbations of non-canonical scalar field
• Constraints on single-field inflation with WMAP, SPT and ACT data -- A last-minute stand before Planck
• Issues in Palatini ${\mathcal{R}}^2$ inflation: Bounds on the Reheating Temperature
• Constraints on tachyon inflationary models with an AdS/CFT correspondence
• Logarithm of the scale factor as a generalised coordinate in a lagrangian for dark matter and dark energy
• Topological first-order vortices in a gauged CP(2) model
• Growth of power spectrum due to decrease of sound speed during inflation
• Consistency relations in multi-field inflation
• Dynamical scaling symmetry and asymptotic quantum correlations for time-dependent scalar fields
• Cosmological perturbations from multi-field inflation
• Deformed self-dual magnetic monopoles
• Tachyon inflation in an AdS braneworld with back-reaction
• Let Effective Field Theory of Inflation flow: stochastic generation of models with red/blue tensor tilt
• Scalar-tensor cosmologies without screening
• Galileon intermediate inflation
• Linear Stability of $f(R,\varphi ,X)$ Thick Branes: Tensor Perturbations
• Non-Gaussianities in a two-field generalization of Natural Inflation
• Some solutions for one of the cosmological constant problems
• Self-dual configurations in Abelian Higgs models with $k$-generalized gauge field dynamics
• Approach to exact solutions of cosmological perturbations: Tachyon field inflation
• Dynamically Generated Inflationary Lambda-CDM
• Transformation of Primordial Cosmological Perturbations Under the General Extended Disformal Transformation
• Stable small spatial hairs in a power-law k-inflation model
• Complexity of non-trivial sound speed in inflation
• Reheating constraints on K-inflation
• Non-Gaussian Shape Recognition
• Nonlinear superhorizon curvature perturbation in generic single-field inflation
• Primordial power spectra from $k$-inflation with curvature
• Perturbative region on non-Gaussian parameter space in single-field inflation
• Deviation From ΛCDM With Cosmic Strings Networks
• Inflation and late-time accelerated expansion driven by $k$-essence degenerate dynamics
• Dirac-Born-Infeld and k-inflation: the CMB anisotropies from string theory
• Resurrecting the exponential and inverse power-law potentials in non-canonical inflation
• Cosmological constraints on a unified dark matter-energy scalar field model with fast transition
• Analytical BPS Maxwell-Higgs vortices
• Scale-dependent hemispherical asymmetry from general initial state during inflation
• Manifestly Gauge Invariant Perturbations of Scalar-Tensor Theories of Gravity
• Adiabatic regularisation of power spectra in $k$-inflation
• Solvable K-essence Cosmologies and Modified Chaplygin Gas Unified Models of Dark Energy and Dark Matter
• Full nonlinear growing and decaying modes of superhorizon curvature perturbations
• Ultraviolet complete dark energy model
• Testing inflationary consistency relations by the potential CMB observations
• Primordial Black Holes from Effective Field Theory of Stochastic Single Field Inflation at NNNLO
• Is $w\ne -1$ evidence for a dynamical dark energy equation of state ?
• Warm Higgs G-inflation: predictions and constraints from Planck 2015 likelihood
• CMB imprints of non-canonical anisotropic inflation
• Smooth crossing of $w_{\Lambda }=-1$ line in a single scalar field model
• Wiggly cosmic strings accrete dark energy
• Keeping an Eye on DBI: Power-counting for small-$c_s$ Cosmology
• Viability of nonminimally coupled f (R) gravity
• Holographic Dark Energy and Quantum Entanglement
• Holographic dilatonic model of dark energy
• Varying-Alpha and K-Essence
• Observational consequences of the Standard Model Higgs inflation variants
• Implications of JLA data for $k-$essence model of dark energy with given equation of state
• Complete Hamiltonian analysis of cosmological perturbations at all orders II: Non-canonical scalar field
• Embedding DBI inflation in scalar-tensor theory
• Why does the effective field theory of inflation work?
• Cosmological models with running cosmological term and decaying dark matter
• Stochastic tunneling for strongly non-Gaussian inflationary theories
• Critical collapse in K-essence models
• Acausality in Superfluid Dark Matter and MOND-like Theories
• Reconstructing Single Field Inflationary Actions From CMBR Data
• Thermal non-Gaussianity in holographic cosmology
• Interacting viscous entropy-corrected holographic scalar field models of dark energy with time-varying G in modified FRW cosmology
• Cosmology in Nonlinear Born-Infeld Scalar Field Theory With Negative Potentials
• On primordial trispectrum from exchanging scalar modes in general multiple field inflationary models
• Holographik, the k-essential approach to interactive models with modified holographic Ricci dark energy
• $K$-essence model from the mechanical approach point of view: coupled scalar field and the late cosmic acceleration
• Restrictions on purely kinetic k-essence
• Nontopological self-dual Maxwell-Higgs vortices
• Thermal Tachyacoustic Cosmology
• Adiabatic regularization of power spectrum in nonminimally coupled general single-field inflation
• The Tilt of Primordial Gravitational Waves Spectra from BICEP2
• Exploring the inflation of $F(R)$ gravity
• A Comparison of Quintessence and Nonlinear Born-Infeld Scalar Field Using Gold Supernova data
• The role of higher derivative bulk scalar in stabilizing a warped spacetime
• Chaotic Inflation and Reheating in Generalized Scalar-Tensor Gravity
• Singular Pöschl-Teller II potentials and gravitating kinks
• Dynamical System of Scalar Field from 2-Dimension to 3-D and its Cosmological Implication
• Consistency relation and inflaton field redefinition in the delta N formalism
• Quintessential Isocurvature in Separate Universe Simulations
• Palatini formulation for gauge theory: implications for slow-roll inflation
• WMAP Constraints On K-Inflation
• Generalized sine-Gordon solitons
• Study in the noncanonical domain of Goldstone inflation
• Inflationary Twin Models
• Dynamics of Cosmological Perturbations in Multi-Speed Inflation
• Effects of the speed of sound at large-N
• Dynamical stability of an interacting quintessence with varying-mass dark matter particles in Lyra manifold
• Generalized unimodular gravity as a form of k-essence
• K-essence in Horndeski models
• Adiabatic and isocurvature perturbations in extended theories with kinetic couplings
• Stability of braneworlds with non-minimally coupled multi-scalar fields
• Assessing the foundation and applicability of some dark energy fluid models in the Dirac-Born-Infeld framework
• Non-locality and late-time cosmic acceleration from an ultraviolet complete theory
• Gravity in the dynamical approach to the cosmological constant
• BICEP2, the curvature perturbation and supersymmetry
• Logarithmic divergences in the $k$-inflationary power spectra computed through the uniform approximation
• Matching the linear spectra of twinlike defects
• Scalar induced gravitational waves review
• Dark energy with a shift-symmetric scalar field: obstacles, loophole hunting and dead ends
• DBI Inflation and Warped Black Holes
• A new generic evolution for $k$-essence dark energy with $w\approx -1$
• CMB power spectrum in the emergent universe with k-essence
• Clustering GCG: a viable option for unified dark matter-dark energy?
• $k$-essence non-minimally coupled with Gauss-Bonnet invariant for inflation
• Emergence of ghosts in Horndeski theory
• Confronting quasi-exponential inflation with WMAP seven
• An update on single field models of inflation in light of WMAP7
• Cosmological twinlike models with multi scalar fields
• Cosmic inflation from broken conformal symmetry
• The evolution of the power law k-essence cosmology
• Generic 3-point Statistics with Tensor Modes in Light of Swampland and TCC
• Towards an Observational Appraisal of String Cosmology
• Dynamics of k-essence in loop quantum cosmology
• Sub-horizon evolution of cold dark matter perturbations through dark matter-dark energy equivalence epoch
• Causality and Stability from Acoustic Geometry
• Quantum initial conditions for curved inflating universes
• Ghost Dark Matter
• Covariant second-order perturbations in generalized two-field inflation
• Scalar field inflation and Shan-Chen fluid models
• Structure formation in clustering DBI dark energy model with constant sound speed
• Thermal non-Gaussianity in Near-Milne universe
• Primordial perturbations and inflation in holographic cosmology
• Enhanced spectrum of primordial perturbations, galaxy formation and small scale structure
• Horizon-preserving dualities and perturbations in non-canonical scalar field cosmologies
• Scalar Dark Energy Models and Scalar-Tensor Gravity: Theoretical Explanations for the Accelerated Expansion of Present Universe
• Quantum Theory at Planck Scale, Limiting Values, Deformed Gravity and Dark Energy Problem
• Causal Modifications of Gravity and Their Observational Bounds
• On signatures of spontaneous collapse dynamics modified single field inflation
• Bounds on Tensor wave and Twisted Inflation
• Cosmological models based on a complex scalar field with a power-law potential associated with a polytropic equation of state
• BRST Quantization of Cosmological Perturbations
• Wave Propagation in Modified Gravity
• Generalized phenomenological models of dark energy
• Constraints on Single-Field Inflation
• Can non-local or higher derivative theories provide alternatives to inflation?
• On the instability of some k-essence space-times
• The growth of DM and DE perturbations in DBI non-canonical scalar field scenario
• Flattened Axion Monodromy Beyond Two Derivatives
• First-order vortices in a gauged $CP(2)$ model with a Chern-Simons term
• Perturbation Theory in k-Inflation Coupled to Matter
• The Trispectrum as a Diagnostic of Primordial Orthogonal non-Gaussianities
• Fitting the luminosity data from type Ia supernovae in the frame of the Cosmic Defect theory
• CMB power spectrum for emergent scenario and slow expansion in scalar-tensor theory of gravity
• A note on second-order perturbations of non-canonical scalar fields
• Nonlinear power spectrum in clustering and smooth dark energy models beyond the BAO scale
• Space-time evolution induced by spinor fields with canonical and non-canonical kinetic terms
• The fate of classical tensor inhomogeneities in pre-big-bang string cosmology
• Prospects for Primordial Gravitational Waves in String Inflation
• Entropic mechanisms with generalized scalar fields in the Ekpyrotic universe
• Nontopological first-order vortices in a gauged $CP(2)$ model with a dielectric function
• Reconstruction of a kinetic k--essence Lagrangian from a modified of dark energy equation of state
• Self-tuning of the cosmological constant in brane-worlds with $P(X,\varphi )$
• Deformation method for generalized Abelian Higgs-Chern-Simons models
• Cosmology of fermionic dark energy coupled to curvature
• Non-Linear Resonance in Relativistic Preheating
• A Scaling Relation in Inhomogeneous Cosmology with k-essence scalar fields
• Constraints on the primordial gravitational waves with variable sound speed from current CMB data
• Two-field models in the presence of impurities
• K-inflation: the legitimacy of classical treatment
• Hamilton-Jacobi formalism for k-inflation
• Anisotropic power-law inflation for models of non-canonical scalar fields non-minimally coupled to a two-form field
• Dynamical systems analysis of a cosmological model with interacting Umami Chaplygin fluid in adiabatic particle creation mechanism: Some bouncing features
• Gravitational potential evolution in Unified Dark Matter Scalar Field Cosmologies: an analytical approach
• The Trans-Planckian problem in Tachyacoustic Cosmology
• Consistency relation for the Lorentz invariant single-field inflation
• Cosmological perturbations in the models of dark energy and modified gravity
• Cyclic universe due to phantom and quintessence
• A study on causality in $f(R,\varphi ,X)$ theory
• Effects of the modification of gravity on the production of primordial black holes
• K-Inflation in Noncommutative Space-Time
• $k$-essence for warm inflation on the brane
• Supersymmetric Dirac-Born-Infeld Axionic Inflation and Non-Gaussianity
• Oscillating solutions of the matter density contrast in Horndeski's theory
• Non-Gaussian signatures of Tachyacoustic Cosmology
• Effective field theory of magnetogenesis identify necessary and sufficient conditions
• The primordial non-Gaussianities for non-singular Horndeski cosmologies
• Scalar field vs hydrodynamic models in the homogeneous isotropic cosmology
• Neutrino Lorentz invariance violation from the CPT-even SME coefficients through a tensor interaction with cosmological scalar fields
• 'Constraint consistency' at all orders in Cosmological perturbation theory
• K-essence Explains a Lorentz Violation Experiment
• CMB constraints on noncommutative geometry during inflation
• Probing Inflation with Precision Bispectra
• Ising Cosmology
• Numerically Investigating the Emergent Cyclic Inflation Scenario
• General-relativistic spin system
• Non-adiabatic primordial fluctuations
• Generalized Conformal Transformation and Inflationary Attractors
• Effective speed of cosmological perturbations
• A novel two-field pure K-essence for inflation, dark matter, dark energy and black holes
• Loops in inflation with strongly non-geodesic motion
• Generic analysis of kinetically driven inflation
• Primordial non-Gaussianity in noncanonical warm inflation: three- and four-point correlations
• On A Cosmological Invariant as an Observational Probe in the Early Universe
• Constraints on the Sharpness of the Curvature Power Spectrum
• Anisotropic power-law inflation for the Sáez-Ballester theory non-minimally coupled to a vector field
• Skewness of matter distribution in clustering dark energy cosmologies
• Constraining matter-bounce scenario from scalar-induced vector perturbations
• Search for a Gravitational-Wave Background from Sound Speed Resonance from Advanced LIGO and Advanced Virgo's First Three Observing Runs
• Stabilising the Planck mass shortly after inflation
• A scaling invariance of the perturbations in $k$-inflation models
• Ultra-light dark matter with non-canonical kinetics reopening the mass window
• Consistency Relation and Non-Gaussianity in a Galileon Inflation
• Higher dimensional operators and their effects in (non)supersymmetric models
• Constant-roll inflation with tachyon field in the holographic braneworld
• Breaking the degeneracy of non-canonical quartic inflation by reheating considerations
• Cherenkov in the Sky: Measuring the Sound Speed of Primordial Scalar Fluctuations
• Time crystals in primordial perturbations
• Primordial perturbations and inflation in a holography inspired Gauss-Bonnet cosmology
• AdS cycles in eternally inflating background
• How does Inflation Depend Upon the Nature of Fluids Filling Up the Universe in Brane World Scenario
• K-nonizing
• Crossing the phantom divide with k-essence in brane-worlds
• Observational constraints on thawing quintessence scalar field model
• Modified scaling in $k$-essence model in interacting dark energy - dark matter scenario
• Inflationary predictions at small gamma
• Thermodynamics of irreversible particle creation phenomena and its cosmological consequence
• Primordial non-Gaussianity in noncanonical warm inflation with nonminimal derivative coupling
• K-Inflation with a Dark Energy Coupling
• K-essential Phantom Energy: Doomsday around the Corner? Revisited
• Dark Energy from Time Crystals
• Revisiting the Chern-Simons interaction during inflation with a non-canonical pseudo-scalar
• Effects of Cuscuton dynamics on braneworld configurations in the scalar-tensor representation of $f\left(R,T\right)$ gravity
• Towards the unification of late-time acceleration and inflation by k-essence model
• k-essence and extended tachyons in brane-worlds
• Non-trivial Extension of Starobinsky Inflation
• Constant-roll inflation and primordial black holes within Barrow entropic framework
• Nontopological first-order vortices in a gauged $CP(2)$ theory endowed with the Chern-Simons action
• Scalar field dark energy with a minimal coupling in a spherically symmetric background
• Domain walls without a potential
• Effective dynamics of quantum fluctuations in field theory: with applications to cosmology
• New dynamical features of pure k-essential cosmologies
• A Bit Rate Bound on Superluminal Communication
• Probing single-field inflation: predictions, constraints, and theoretical viewpoints
• Anisotropic constant-roll k-inflation model
• DUCA: Dynamic Universe Cosmological Analysis. II. The impact of clustering dark energy on the halo mass function
• Scale-dependence in DHOST inflation
• Self-dual solitons in a Born-Infeld baby Skyrme model
• Non-canonical scalar field in low anisotropy universe with intermediate inflation
• Geometric formulation of $k$-essence and late-time acceleration
• Reheating and relic gravitational waves as remedies for degeneracies of non-canonical natural inflation
• Reconstructing homospectral inflationary potentials
• Primordial black hole formation in k-inflation models
• Inflationary models in a minimally coupled $f(R,T)$ gravity: Constraints from $Planck$, BICEP/$Keck$, and ACT
• Structure formation in a non-canonical scalar field model of clustering dark energy
• Caustic formation in DBI models: Wave propagation on planar domain walls
• Kinetically-driven ekpyrosis
• Constraints on non-canonical chaotic inflation from ACT DR6 and BICEP/Keck data
• Dynamics of potential-free warm $\mathbf{k}$-inflation with nonminimal derivative coupling
• K-Essence Induced by Derivative Couplings of the Inflaton
• Modified Gravity Framework for the Woods-Saxon Inflation: Theoretical Foundations and Observational Constraints
• Hamilton-Jacobi analysis of noncanonical inflation in $f(R,T)$ gravity: Constraints from Planck/ACT data, and theoretical bounds
• Mori-Zwanzig formalism for early cosmic inflation
• Bouncing cosmologies in the presence of a Dirac-Born-Infeld field
• Covariant single-field formulation of effective cosmological bounces
• Reconstructing square-law k-inflation from Planck data
• Stochastic Inflation in Compact Extra Dimensions
• Perturbations and stability conditions of k-essence and kinetic gravity braiding models in two-field measure theory
• Inflationary spectral tilts as a result of the dilatation symmetry breaking
• Multi-brid DBI Inflation
• The Nature of Phantom Dark Energy and its Relation to Time Crystals