Dynamical Systems Analysis of K-essence Model

Abstract

In the present work we investigate the stability of the k-essence models allowing upto quadratic terms of the kinetic energy. The system of field equations is written as an autonomous system in terms of dimensionless variables and the stability criteria of the equilibria have been extensively investigated. The results strongly indicate that cosmologically consistent models dynamically evolve towards the quintessence model, a stable solution with a canonical form of the dark energy.

arXiv comment10 pages, 9 figures; accepted for publication in Physical Review D

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Cited by in corpus (11)

• Finite-time Cosmological Singularities and the Possible Fate of the Universe
• 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
• Ghost condensates and pure kinetic $k$-essence condensates in presence of field-fluid non-minimal coupling in the dark sector
• Constraints on the speed of sound in the k-essence model of dark energy
• $\Lambda$CDM as a Noether Symmetry in Cosmology
• Low-Redshift Constraints on Covariant Canonical Gauge Theory of Gravity
• Dynamics of k-essence in loop quantum cosmology
• Dynamical analysis of $k$-essence cosmology in the light of Supernova Ia observations
• Future Dark Energy Constraints from Atomic Clocks
• Geometric formulation of $k$-essence and late-time acceleration