Phase-space analysis of a class of k-essence cosmology

Abstract

We perform a detailed phase-space analysis of a class of k-essence cosmology. We find the critical points can be divided into three classes: points unstable but the model stable, both points and the model stable, points stable but the model unstable. Like the case of points unstable but the model stable, the case of points stable but the model unstable is not relevant from a cosmological point of view, though they can be late-time attractors for the universe. So in order to study the possible final state of the universe, it is important to investigate not only the stability of the critical points but also the stability of the model. The case of both points and the model stable can further be divided into two classes: points only presenting decelerating phases and points at which all decelerating, constant-speed, and accelerating phases can appear; the final state of the universe dependents on the potential.

10 pages, 4 figures

References in corpus (24)

• Dynamics of dark energy
• Kinetic k-essence and Quintessence
• Constraints on scalar-tensor models of dark energy from observational and local gravity tests
• Challenges for scaling cosmologies
• On causality and superluminal behavior in classical field theories. Applications to k-essence theories and MOND-like theories of gravity
• No-go theorem for k-essence dark energy
• Gauge-invariant analysis of perturbations in Chaplygin gas unified models of dark matter and dark energy
• Causality and the speed of sound
• Unified Dark Matter in Scalar Field Cosmologies
• A k-essence Model Of Inflation, Dark Matter and Dark Energy
• Slow-roll k-essence
• A note on the equivalence of a barotropic perfect fluid with a K-essence scalar field
• Attractor scenarios and superluminal signals in k-essence cosmology
• Cosmological Scaling Solutions and Cross-coupling Exponential Potential
• Crossing the phantom barrier with purely kinetic multiple k-essence
• Tachyon cosmology, supernovae data and the Big Brake singularity
• A note on perfect scalar fields
• The Homogeneous Scalar Field and the Wet Dark Sides of the Universe
• Thermodynamics of k-essence
• Attractor Universe in the Scalar-Tensor Theory of Gravitation
• Tracking quintessence and k-essence in a general cosmological background
• Holographic kinetic k-essence model
• Geometrical diagnostic for purely kinetic k-essence dark energy
• Constraints on the generalized tachyon field models from latest observational data

Cited by in corpus (13)

• Dark compact objects: an extensive overview
• Neutron Stars and Dark Matter
• Full Investigation on the Dynamics of Power-Law Kinetic Quintessence
• Dynamical Stability in presence of non-minimal derivative dependent coupling of $k$-essence field with a relativistic fluid
• Dynamical Systems Analysis of K-essence Model
• Image of the Schwarzschild black hole pierced by a cosmic string with a thin accretion disk
• Stability of Accelerated Expansion in Nonlinear Electrodynamics
• Dynamics of generalized tachyon field
• Neutron star mass in dark matter clumps
• CMB power spectrum in the emergent universe with k-essence
• Shadow and thin accretion disk around Ayón-Beato-García black hole coupled with cloud of strings
• Phase Space Analysis for Anisotropic Universe with Nonlinear Bulk Viscosity
• Observational properties of a Schwarzschild black hole surrounded by a Dehnen-type dark matter halo