A study of interacting scalar field model from the perspective of the dynamical systems theory

Abstract

In this work, considering the background dynamics of flat Friedmann-Lemaitre-Robertson-Walker(FLRW) model of the universe, we investigate a scalar field model as dark energy candidate which interacting with the pressure-less dust as dark matter from dynamical systems perspective. From phenomenological vantage point two interaction terms are chosen: one depends on Hubble parameter $H$ and other is local, independent of Hubble parameter. In interaction model 1, the scalar field potential as well as the coupling are considered to be in the form of inverse square and accordingly a two-dimensional autonomous system is obtained. On the other hand, Interaction model 2 comprises with the potential as well as coupling of scalar field which are considered in form of exponential function of scalar field ($\varphi$) and as a result of which a four-dimensional autonomous system is achieved. We study two systems separately and come by several critical points in 2D system as well as in 4D system. We have derived sound speed and the classical stability conditions. Furthermore, for 2D autonomous system we analyzed the stability of some critical points at infinity. From this autonomous system, we obtain scalar field dominated solutions representing late time accelerated evolution of the universe that does not elucidate the coincidence problem. Late time scaling solutions are also realized by the accelerated expansion of the universe which evolves in quintessence era that alleviates the coincidence problem successfully. From the analysis of 4D system, we obtain non-hyperbolic sets of critical points which are analyzed by the center manifold theory. In this model, the de Sitter like solutions represent the transient evolution of the universe.

arXiv comment29 pages, 10 captioned figures. Title changed. The paper is revised thoroughly. The version is published in The Physics of the Dark Universe

References in corpus (87)

• In the Realm of the Hubble tension $-$ a Review of Solutions
• Large Magellanic Cloud Cepheid Standards Provide a 1% Foundation for the Determination of the Hubble Constant and Stronger Evidence for Physics Beyond LambdaCDM
• Coupled Quintessence
• Exponential potentials and cosmological scaling solutions
• Dark Matter and Dark Energy Interactions: Theoretical Challenges, Cosmological Implications and Observational Signatures
• New physics in light of the $H_0$ tension: an alternative view
• Dynamical systems applied to cosmology: dark energy and modified gravity
• Cosmology Intertwined III: $f{\sigma }_8$ and $S_8$
• Non-minimal dark sector physics and cosmological tensions
• Dilatonic ghost condensate as dark energy
• Interacting dark energy in the early 2020s: a promising solution to the $H_0$ and cosmic shear tensions
• Extended tachyon field, Chaplygin gas and solvable k-essence cosmologies
• Power-Law Inflation from the Rolling Tachyon
• Dynamics of dark energy with a coupling to dark matter
• Dynamics of interacting dark energy
• Tracking and coupled dark energy as seen by WMAP
• Cosmological Evolution With Interaction Between Dark Energy And Dark Matter
• Coupled dark energy: Towards a general description of the dynamics
• Echo of interactions in the dark sector
• Reconciling CMB and structure growth measurements with dark energy interactions
• Interacting dark energy with time varying equation of state and the $H_0$ tension
• Revisiting a negative cosmological constant from low-redshift data
• New constraints on interacting dark energy from cosmic chronometers
• Testing the Interaction between Dark Energy and Dark Matter with Planck Data
• Dark sector interaction: a remedy of the tensions between CMB and LSS data
• Tracking solutions in tachyon cosmology
• Stationary dark energy with a baryon-dominated era: solving the coincidence problem with a linear coupling
• Interacting models may be key to solve the cosmic coincidence problem
• Toward a solution of the coincidence problem
• Enhancing the tensor-to-scalar ratio in simple inflation
• Relaxing cosmological tensions with a sign switching cosmological constant
• Phase-space analysis of interacting phantom cosmology
• Quintom cosmologies with arbitrary potentials
• Tensions in the dark: shedding light on Dark Matter-Dark Energy interactions
• Dynamical behavior in mimetic F(R) gravity
• Dynamical Systems Perspective of Cosmological Finite-time Singularities in $f(R)$ Gravity and Interacting Multifluid Cosmology
• Cosmological dynamics of mimetic gravity
• Unified Dark Matter in Scalar Field Cosmologies
• Nonlinear interacting cosmological models after Planck 2018 legacy release and the $H_0$ tension
• Dynamics of Interacting Quintessence Models: Observational Constraints
• Do we have any hope of detecting scattering between dark energy and baryons through cosmology?
• 2021-$H_0$ Odyssey: Closed, Phantom and Interacting Dark Energy Cosmologies
• On phenomenological models of dark energy interacting with dark matter
• Dynamical analysis of anisotropic scalar-field cosmologies for a wide range of potentials
• Relieving the $H_0$ tension with a new interacting dark energy model
• $Om$ diagnostic applied to scalar field models and slowing down of cosmic acceleration
• Dark sector interaction and the supernova absolute magnitude tension
• Relieving the Tension between Weak Lensing and Cosmic Microwave Background with Interacting Dark Matter and Dark Energy Models
• Irreversible thermodynamic description of interacting dark energy - dark matter cosmological models
• Quintessence with quadratic coupling to dark matter
• Dynamics of dark energy models and centre manifolds
• Remedy of some cosmological tensions via effective phantom-like behavior of interacting vacuum energy
• Exact Analysis of Scaling and Dominant Attractors Beyond the Exponential Potential
• Interacting Dark Energy in f(T) cosmology : A Dynamical System analysis
• Generalizing a Unified Model of Dark Matter, Dark Energy, and Inflation with Non Canonical Kinetic Term
• Cosmological direct detection of dark energy: non-linear structure formation signatures of dark energy scattering with visible matter
• On the Past Asymptotic Dynamics of Non-minimally Coupled Dark Energy
• The resilience of the Etherington-Hubble relation
• A cosmographic analysis of holographic dark energy models
• Unified Model of k-Inflation, Dark Matter & Dark Energy
• Cosmologies with General Non-Canonical Scalar Field
• Testing interacting dark matter and dark energy model with cosmological data
• Dynamical system analysis at background and perturbation levels: Quintessence in severe disadvantage comparing to $\Lambda$CDM
• A Study of Finite-time Singularities of Loop Quantum Cosmology Interacting Multifluids
• The Hubble Tension, The $M$ Crisis of Late Time $H(z)$ Deformation Models and the Reconstruction of Quintessence Lagrangians
• Phase space analysis and singularity classification for linearly interacting dark energy models
• Exploration of interacting dynamical dark energy model with interaction term including the equation-of-state parameter: alleviation of the $H_0$ tension
• Cosmic infinity: A dynamical system approach
• Background evolution and growth of structures in interacting dark energy through dynamical system analysis
• Exploring the Dark Universe: constraints on dynamical Dark Energy models from CMB, BAO and growth rate measurements
• The homogeneity scale and the growth rate of cosmic structures
• Cosmological dynamical systems
• Dynamical analysis of interacting dark energy model in the framework of particle creation mechanism
• Cosmic acceleration in non-canonical scalar field model - An interacting scenario
• Minimal theory of massive gravity in the light of CMB data and the $S_8$ tension
• Halos of Unified Dark Matter Scalar Field
• Dynamical Systems analysis of an interacting dark energy model in the Brane Scenario
• KiDS-1000 Cosmology: machine learning -- accelerated constraints on Interacting Dark Energy with COSMOPOWER
• Cosmological dynamics of the general non-canonical scalar field models
• Dynamical System Analysis for a phantom model
• Study of parametrized dark energy models with a general non-canonical scalar field
• Phase Space Analysis and Thermodynamics of Interacting Umami Chaplygin gas in FRW Universe
• Dynamical system analysis of Einstein-Skyrme model in a Kantowski-Sachs spacetime
• Constraints On Dark Energy Models From Galaxy Clusters and Gravitational Lensing Data
• Cosmological Coincidence without Fine Tuning
• Stability analysis of an interacting holographic dark energy model
• Dynamics of tachyon field with an inverse square potential in loop quantum cosmology

Cited by in corpus (4)

• I. Linear Interacting Dark Energy: Analytical Solutions and Theoretical Pathologies
• Dynamical systems analysis of an interacting scalar field model in an anisotropic universe
• A dynamical system analysis of bouncing cosmology with spatial curvature
• Effects of particle creation rate in two-fluid interacting cosmologies