Dynamical stability of K-essence field interacting non-minimally with a perfect fluid

Abstract

We study models of non-minimally coupled relativistic fluid and $k$-essence scalar field in the background of a flat Friedmann-Lemaitre-Robertson-Walker universe. The non-minimal coupling term is introduced in the Lagrangian level. We employ the variational approach with respect to independent variables that produce modified $k-$essence field equations and the Friedmann equations. We have analyzed the coupled field-fluid framework explicitly using the dynamical system technique considering two different models based on inverse power-law potential. After examining these models it is seen that both models are capable of producing accelerating attractor solutions satisfying adiabatic sound speed conditions.

Some figures are modified and some text changed. Has 27 pages, 10 figures. This version has been accepted for publication in Physical Review D

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• Dissipative quintessence, and its cosmological implications
• Interacting Models of Dark Energy and Dark Matter in Einstein scalar Gauss Bonnet Gravity
• Collapsing scenarios of K-essence generalized Vaidya spacetime under $f(\bar{R},\bar{T})$ gravity
• Dynamical analysis of coupled curvature-matter scenario in viable $f(R)$ dark energy models at de Sitter phase
• Chaotic interactions between dark matter and dark energy
• Perturbation in an interacting dark universe
• Exploring the evolution of structure growth in the universe with field-fluid interactions through dynamical stability analysis
• Particle Production Scenario in an Algebraically Coupled Quintessence Field with a Dark Matter Fluid
• Observational constraints on generic models of non-minimal curvature-matter coupling
• Realizing late-time cosmology in the context of Dynamical Stability Approach
• End equilibrium state of a spherical gravitational collapse in the presence of matter and scalar field
• A comprehensive dynamical and phenomenological analysis of structure growth in curvature-modulated coupled quintessence scenario
• Non-minimal coupling of scalar fields in the dark sector and generalization of the top-hat collapse
• Yano-Schrödinger Hyperfluid: Cosmological Implications
• Dynamical analysis of $k$-essence cosmology in the light of Supernova Ia observations