Dynamical Stability in presence of non-minimal derivative dependent coupling of $k$-essence field with a relativistic fluid

Abstract

In this paper we investigate a non-minimal, space-time derivative dependent, coupling between the $k$-essence field and a relativistic fluid using a variational approach. The derivative coupling term couples the space-time derivative of the $k$-essence field with the fluid 4-velocity via an inner product. The inner product has a coefficient whose form specifies the various models of interaction. By introducing a coupling term at the Lagrangian level and using the variational technique we obtain the $k$-essence field equation and the Friedmann equations in the background of a spatially flat Friedmann-Lemaitre-Robertson-Walker (FLRW) metric. Explicitly using the dynamical analysis approach we analyze the dynamics of this coupled scenario in the context of two kinds of interaction models. The models are distinguished by the form of the coefficient multiplying the derivative coupling term. In the simplest approach we work with an inverse square law potential of the $k$-essence field. Both of the models are not only capable of producing a stable accelerating solution, they can also explain different phases of the evolutionary universe.

25 pages, 7 tables, 9 figures, Accepted for the publication in EPJC

References in corpus (12)

• In the Realm of the Hubble tension $-$ a Review of Solutions
• Interacting quintessence from a variational approach Part II: derivative couplings
• Interacting quintessence from a variational approach Part I: algebraic couplings
• Attractor scenarios and superluminal signals in k-essence cosmology
• Phase-space analysis of a class of k-essence cosmology
• Dynamical stability of K-essence field interacting non-minimally with a perfect fluid
• Higher order derivative coupling to gravity and its cosmological implications
• Full Investigation on the Dynamics of Power-Law Kinetic Quintessence
• Kinetically coupled dark energy
• Dynamical Systems Analysis of K-essence Model
• Ghost condensates and pure kinetic $k$-essence condensates in presence of field-fluid non-minimal coupling in the dark sector
• Classes of non-minimally coupled scalar fields in spatially curved FRW spacetimes

Cited by in corpus (13)

• Dynamical stability in models where dark matter and dark energy are non-minimally coupled to curvature
• 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
• Chaotic interactions between dark matter and dark energy
• NEC violation in $f(\bar{R},\bar{T})$ gravity in the context of a non-canonical theory via modified Raychaudhuri equation
• 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
• 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
• Observational and Thermodynamic aspects of one-dimensional Dark Energy EoS parametrization models