Dynamics of $k$-essence

Abstract

There are a number of mathematical theorems in the literature on the dynamics of cosmological models with accelerated expansion driven by a positive cosmological constant $\Lambda$ or a nonlinear scalar field with potential $V$ (quintessence) which do not assume homogeneity and isotropy from the beginning. The aim of this paper is to generalize these results to the case of $k$-essence models which are defined by a Lagrangian having a nonlinear dependence on the kinetic energy. In particular, Lagrangians are included where late time acceleration is driven by the kinetic energy, an effect which is qualitatively different from anything seen in quintessence models. A general criterion for isotropization is derived and used to strengthen known results in the case of quintessence.

References in corpus (2)

• Can dark energy evolve to the Phantom?
• Algebraic expansions for curvature coupled scalar field models

Cited by in corpus (96)

• Beyond the Cosmological Standard Model
• Modified Newtonian Dynamics (MOND): Observational Phenomenology and Relativistic Extensions
• k-Essence, superluminal propagation, causality and emergent geometry
• The CosmoVerse White Paper: Addressing observational tensions in cosmology with systematics and fundamental physics
• Global topological k-defects
• Generalized Global Defect Solutions
• Ghosts, Instabilities, and Superluminal Propagation in Modified Gravity Models
• On causality and superluminal behavior in classical field theories. Applications to k-essence theories and MOND-like theories of gravity
• Insight into the baryon-gravity relation in galaxies
• No-go theorem for k-essence dark energy
• On the local well-posedness of Lovelock and Horndeski theories
• Gauge k-vortices
• Escaping from the black hole?
• Black holes in the presence of dark energy
• Pure kinetic k-essence as the cosmic speed-up
• How the Scalar Field of Unified Dark Matter Models Can Cluster
• Attractor scenarios and superluminal signals in k-essence cosmology
• Compactlike kinks and vortices in generalized models
• $k$-essence $f(R)$ Gravity Inflation
• BPS Solutions to a Generalized Maxwell-Higgs Model
• Stationary Black Holes with Time-Dependent Scalar Fields
• Axionic black branes in the k-essence sector of the Horndeski model
• On the hyperbolicity of the most general Horndeski theory
• Gravitating Global k-monopole
• Near Scale Invariance with Modified Dispersion Relations
• Numerical relativity for Horndeski gravity
• On the stability and causality of scalar-vector theories
• Compact vortex in a generalized Born-Infeld model
• Some remarks about non-minimally coupled scalar field models
• Stationary Configurations Imply Shift Symmetry: No Bondi Accretion for Quintessence / k-Essence
• Formation of caustics in k-essence and Horndeski theory
• Unified Dark Matter scalar field models with fast transition
• Constant-roll in the Palatini-$R^2$ models
• Phase-space analysis of a class of k-essence cosmology
• Late-time oscillatory behaviour for self-gravitating scalar fields
• Energy exchange for homogeneous and isotropic universes with a scalar field coupled to matter
• Gravitational Collapse in Cubic Horndeski Theories
• Proof of the cosmic no-hair conjecture in the T^3-Gowdy symmetric Einstein-Vlasov setting
• Constant-roll $k$-Inflation Dynamics
• Generalized self-dual Maxwell-Chern-Simons-Higgs model
• The Hawking temperature in the context of dark energy
• Null Energy Condition Violation and Classical Stability in the Bianchi I Metric
• Halos of Unified Dark Matter Scalar Field
• Approximation of the potential in scalar field dark energy models
• Measuring Unified Dark Matter with 3D Cosmic Shear
• Clustering dark energy imprints on cosmological observables of the gravitational field
• Topological vortices in generalized Born-Infeld-Higgs electrodynamics
• Future stability of the FLRW spacetime for a large class of perfect fluids
• Well-posedness of cubic Horndeski theories
• The Hawking Temperature in the context of Dark Energy for Reissner-Nordstrom and Kerr background
• The Phase Space of $k$-Essence $f(R)$ Gravity Theory
• Phase-space of flat Friedmann-Robertson-Walker models with both a scalar field coupled to matter and radiation
• No-go theorem for static scalar field dark matter halos with no Noether charges
• Observed galaxy power spectrum in cubic Galileon model
• The Hawking temperature in the context of dark energy for Kerr-Newman and Kerr-Newman-AdS backgrounds
• Note on scalars, perfect fluids, constrained field theories, and all that
• Exact Solutions for Nonlocal Nonlinear Field Equations in Cosmology
• Generalized scalar field cosmologies: theorems on asymptotic behavior
• Analytical self-dual solutions in a nonstandard Yang-Mills-Higgs scenario
• $k$-Inflation-corrected Einstein-Gauss-Bonnet Gravity with Massless Primordial Gravitons
• Negative potentials and collapsing universes II
• Deformed self-dual magnetic monopoles
• 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
• Thermodynamics for the k-essence Emergent Reissner-Nordstrom-de Sitter Spacetime
• Effective metric in nonlinear scalar field theories
• Negative potentials and collapsing universes
• Analytical BPS Maxwell-Higgs vortices
• Implications of JLA data for $k-$essence model of dark energy with given equation of state
• Varying-Alpha and K-Essence
• Acausality in Superfluid Dark Matter and MOND-like Theories
• Critical collapse in K-essence models
• Restrictions on purely kinetic k-essence
• Nontopological self-dual Maxwell-Higgs vortices
• Generalized sine-Gordon solitons
• Thawing k-essence dark energy in the PAge space
• Causal Modifications of Gravity and Their Observational Bounds
• First-order vortices in a gauged $CP(2)$ model with a Chern-Simons term
• Analytical Insights into Constant-Roll Condition: Extending the Paradigm to Non-Canonical Models
• A Scaling Relation in Inhomogeneous Cosmology with k-essence scalar fields
• Deformation method for generalized Abelian Higgs-Chern-Simons models
• Nontopological first-order vortices in a gauged $CP(2)$ model with a dielectric function
• Evolution of Dark Energy Perturbations for Slotheon Field and Power Spectrum
• Coupled quintessence and curvature-assisted acceleration
• On A Cosmological Invariant as an Observational Probe in the Early Universe
• On the Field Theoretical Description of an Alternative Model to Generalized Chaplygin Gas and its Thermodynamic Behaviour
• Unimodular gravity as an initial value problem
• Variable Modified Chaplygin Gas in Anisotropic Universe with Kaluza-Klein Metric
• The K-essence flow seen from the preferred frame $S_V$. A scalar field theory with Landau superfluid structure
• Neutron Stars in Causal Scalar-Tensor Theories
• Constant Roll Inflationary Dynamics with Generalized Potentials in $f(R,\varphi ,X)$ Gravity
• Nontopological first-order vortices in a gauged $CP(2)$ theory endowed with the Chern-Simons action
• Cosmological Dynamics of Exponential Quintessence Constrained by BAO, Cosmic Chronometers, and DES-SN5YR/Pantheon+ Data
• The existence of smooth solutions in q-theories
• Masking a singularity with k-essence fields in an emergent gravity metric
• The Possibility of Tachyons as Soliton Solutions in 3+1 Dimensions via k-field Models