Full Investigation on the Dynamics of Power-Law Kinetic Quintessence

Abstract

We give a full investigation on the dynamics of power-law kinetic quintessence $L(X,\varphi )=V(\varphi )(-X+X^2)$ by considering the potential related parameter $\Gamma$($=\frac{V{V}^{\prime \prime }}{V^{\prime 2}}$) as a function of another potential parameter $\lambda$($=\frac{V^{\prime }}{\kappa V^{3/2}}$), which correspondingly extends the analysis of the dynamical system of our universe from two-dimension to three-dimension. Beside the critical points found in previous papers, we find a new de-Sitter-like dominant attractor(\textit{cp$6$}) and give its stable condition using the center manifold theorem. For the dark energy dominant solution(\textit{cp$6$} and \textit{cp$7$}), it could be distinguished from canonical quintessence and tachyon models since the sound speed $c_s^2=0$ or $c_s^2\ll 1$. For the scaling solution (\textit{cp$8$}), it is very interesting that the sound speed $c_s^2=1/5$ while it behaves as ordinary matter. We therefore point out that the power-law kinetic quintessence should have different signatures on cold dark matter power spectrum and cosmic microwave background both at early time when this scalar field is an early dark energy with ${\Omega }_{\varphi }$ being non-negligible at high redshift and at late time when it drives the accelerating expansion. We even do not know whether there are any degeneracies of the impacts between these two epoches. They are expected to be investigated in future.

17 pages, 4 figures, accepted by Physical Review D, in press

References in corpus (14)

• Measuring the Speed of Dark: Detecting Dark Energy Perturbations
• Dark energy with non-adiabatic sound speed: initial conditions and detectability
• Future CMB Constraints on Early, Cold, or Stressed Dark Energy
• Exact Analysis of Scaling and Dominant Attractors Beyond the Exponential Potential
• A New Approach to Quintessence and a Solution of Multiple Attractors
• Fingerprinting Dark Energy II: weak lensing and galaxy clustering tests
• Phase-space analysis of a class of k-essence cosmology
• Stability analysis of an autonomous system in loop quantum cosmology
• Dynamics of Tachyon and Phantom Field beyond the Inverse Square Potentials
• Confronting the sound speed of dark energy with future cluster surveys
• Covariance of dark energy parameters and sound speed constraints from large HI surveys
• Effect of dark energy sound speed and equation of state on CDM power spectrum
• Perturbations in dark energy models with evolving speed of sound
• Quintom phase-space: beyond the exponential potential

Cited by in corpus (12)

• Dynamical stability of K-essence field interacting non-minimally with a perfect fluid
• Dynamical Stability in presence of non-minimal derivative dependent coupling of $k$-essence field with a relativistic fluid
• Dynamical system analysis of LRS-BI Universe with f(Q) gravity theory
• Dynamics of viable $f(R)$ dark energy models in the presence of Curvature-Matter interactions
• Interacting Models of Dark Energy and Dark Matter in Einstein scalar Gauss Bonnet Gravity
• Dynamical analysis of coupled curvature-matter scenario in viable $f(R)$ dark energy models at de Sitter phase
• Exploring the evolution of structure growth in the universe with field-fluid interactions through dynamical stability analysis
• Observational constraints on generic models of non-minimal curvature-matter coupling
• Modified scaling in $k$-essence model in interacting dark energy - dark matter scenario
• A comprehensive dynamical and phenomenological analysis of structure growth in curvature-modulated coupled quintessence scenario
• Geometric formulation of $k$-essence and late-time acceleration
• Phase space analysis of Bianchi III Universe with $f(R,T)$ gravity theory