Scalar phantom energy as a cosmological dynamical system

Abstract

Phantom energy can be visualized as a scalar field with a (non-canonical) negative kinetic energy term. We use the dynamical system formalism to study the attractor behavior of a cosmological model containing a phantom scalar field $\varphi$ endowed with an exponential potential of the form $V(\varphi )=V_0\exp (-\lambda \kappa \varphi )$, and a perfect fluid with constant equation of state $\gamma$; the latter can be of the phantom type too. As in the canonical case, three characteristic solutions can be identified. The scaling solution exists but is either unstable or of no physical interest. Thus, there are only two stable critical points which are of physical interest, corresponding to the perfect fluid and scalar field dominated solutions, respectively. The most interesting case arises for $0>\gamma >-{\lambda }^2/3$, which allows the coexistence of the three solutions. The main features of each solution are discussed in turn.

6 pages, 3 eps figures; uses RevTex4. New references added, and changes made according to referee's suggestions. Matches published version in JCAP

References in corpus (31)

• A Phantom Menace? Cosmological consequences of a dark energy component with super-negative equation of state
• Exponential potentials and cosmological scaling solutions
• Can the dark energy equation-of-state parameter w be less than -1?
• Properties of singularities in (phantom) dark energy universe
• Late-time cosmology in (phantom) scalar-tensor theory: dark energy and the cosmic speed-up
• Inhomogeneous Equation of State of the Universe: Phantom Era, Future Singularity and Crossing the Phantom Barrier
• The phantom menaced: constraints on low-energy effective ghosts
• A New Cosmological Model of Quintessence and Dark Matter
• Cosmological Dynamics of Phantom Field
• Quantum effects can render w<-1 on cosmological scales
• WMAP constraints on low redshift evolution of dark energy
• Super-Acceleration from Massless, Minimally Coupled ${\varphi }^4$
• The case for dynamical dark energy revisited
• Dilatonic ghost condensate as dark energy
• Quantum escape of sudden future singularity
• Hessence: A New View of Quintom Dark Energy
• Coupled dark energy: Towards a general description of the dynamics
• Cosmology with positive and negative exponential potentials
• Attractor Solution of Phantom Field
• Phantom Cosmic Dynamics: Tracking Attractor and Cosmic Doomsday
• Accelerating Cosmologies and Inflation from M/Superstring Theories
• Phantom Field with O(N) Symmetry in Exponential Potential
• Accelerating Cosmologies from Exponential Potentials
• Scaling Solutions in Robertson-Walker Spacetimes
• Attractor Behavior of Phantom Cosmology
• Cosmological Scaling Solutions and Multiple Exponential Potentials
• Scalar Cosmology with Multi-exponential Potentials
• A Note on Acceleration from Product Space Compactification
• On the nature of dark matter
• Heteroclinic orbit and tracking attractor in cosmological model with a double exponential potential
• Late-time Cosmic Dynamics from M-theory

Cited by in corpus (38)

• Dynamics of dark energy
• Dynamical systems applied to cosmology: dark energy and modified gravity
• Quantum Stability of a w < - 1 Phase of Cosmic Acceleration
• Two-Field Quintom Models in the w-w' Plane
• Phantom field dynamics in loop quantum cosmology
• Dark Energy in Practice
• Dynamics of a scalar field in Robertson-Walker spacetimes
• Unified description of the dynamics of quintessential scalar fields
• Singularities in loop quantum cosmology
• Stable Models of superacceleration
• Type I singularities and the Phantom Menace
• Interacting viscous dark fluids
• Revisiting Fractional Cosmology
• Cosmological Evolution of Dirac-Born-Infeld Field
• Tracking quintessence: a dynamical systems study
• Dynamical systems study of Chameleon scalar field
• Scalar field cosmology in the energy phase-space -- unified description of dynamics
• Dynamical Systems Analysis of K-essence Model
• Dynamical systems analysis of phantom models
• Dynamical system analysis of scalar field cosmology in coincident $f(Q)$ gravity
• Stability of a modified Jordan-Brans-Dicke theory in the dilatonic frame
• Observing the temperature of the Big Bang through large scale structure
• Averaging Generalized Scalar Field Cosmologies I: Locally Rotationally Symmetric Bianchi III and open Friedmann-Lemaître-Robertson-Walker models
• Jacobi stability analysis of scalar field models with minimal coupling to gravity in a cosmological background
• Interacting dark sector: a dynamical system perspective
• Wave dynamics of phantom scalar perturbation in the background of Schwarzschild black hole
• Scalar field exact solutions for non-flat FLRW cosmology: A technique from non-linear Schrödinger-type formulation
• Scalar field evolution at background and perturbation levels for a broad class of potentials
• Dynamical evolution of phantom scalar perturbation in the background of Schwarzschild black String spacetime
• Scalar Dark Energy Models and Scalar-Tensor Gravity: Theoretical Explanations for the Accelerated Expansion of Present Universe
• Dynamics of k-essence in loop quantum cosmology
• Phantom expansion with non-linear Schrödinger-type formulation of scalar field cosmology
• Bouncing Universe in the Contexts of Generalized Cosmic Chaplygin Gas and Variable Modified Chaplygin Gas
• Slow-roll, acceleration, the Big Rip and WKB approximation in NLS-type formulation of scalar field cosmology
• Phantom scalar emission in the Kerr black hole spacetime
• Cosmological singularities in non-canonical models of dark energy
• Avoiding Big Rip Singularities in Phantom Scalar Field theory with Gauss-Bonnet term
• Viscous effect in the late time evolution of phantom universe