Phase Space Analysis of the Accelerating Multi-fluid Universe

Abstract

We study in detail the phase space of a Friedmann-Robertson-Walker Universe filled with various cosmological fluids which may or may not interact. We use various expressions for the equation of state, and we analyze the physical significance of the resulting fixed points. In addition we discuss the effects of the stability or an instability of some fixed points. Moreover we study an interesting phenomenological scenario for which there is an oscillating interaction between the dark energy and dark matter fluid. As we demonstrate, in the context of the model we use, at early times the interaction is negligible and it starts to grow as the cosmic time approaches the late-time era. Also the cosmological dynamical system is split into two distinct dynamical systems which have two distinct de Sitter fixed points, with the early-time de Sitter point being unstable. This framework gives an explicit example of the unification of the early-time with late-time acceleration. Finally, we discuss in some detail the physical interpretation of the various models we present in this work.

arXiv commentPRD Accepted

References in corpus (43)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Inhomogeneous Equation of State of the Universe: Phantom Era, Future Singularity and Crossing the Phantom Barrier
• Interacting Quintessence
• Observational constraints on dark energy with generalized equations of state
• Dynamics of dark energy with a coupling to dark matter
• Cosmological dynamics of R^n gravity
• Dynamics of interacting dark energy
• Dark Energy and Viscous Cosmology
• Cosmological Evolution With Interaction Between Dark Energy And Dark Matter
• Phase-Space analysis of Teleparallel Dark Energy
• Inflationary universe from perfect fluid and $F(R)$ gravity and its comparison with observational data
• Dynamical behavior in mimetic F(R) gravity
• On the evolution of universes in quadratic theories of gravity
• Cosmological dynamics of Scalar--Tensor Gravity
• Some remarks on the dynamical systems approach to fourth order gravity
• Dissipation of dark matter
• Dynamics of the anisotropic Kantowsky-Sachs geometries in $R^n$ gravity
• Accelerating Cosmology and Phase Structure of F(R) Gravity with Lagrange Multiplier Constraint: Mimetic Approach
• Cosmological dynamics of exponential gravity
• Phantom dark energy as an effect of bulk viscosity
• General Bulk-Viscous Solutions and Estimates of Bulk Viscosity in the Cosmic Fluid
• Viscous dark matter growth in (neo-)Newtonian cosmology
• Interacting viscous dark fluids
• Structure formation in a $\Lambda$ $viscous$ CDM universe
• A FRW Dark Fluid with a Non-Linear Inhomogeneous Equation of State
• Equation of state for Universe from similarity symmetries
• Thermodynamic properties of modified gravity theories
• Crossing the phantom divide with dissipative normal matter in the Israel-Stewart-Hiscock formalism
• Dark energy interacting with two fluids
• Dynamics of the diffusive DM-DE interaction--dynamical system approach
• Fluid Inflation
• Phantom solution in a non-linear Israel-Stewart theory
• Dissipative Universe-Inflation with Soft Singularity
• Archimedean-type force in a cosmic dark fluid: II. Qualitative and numerical study of a multistage Universe expansion
• Inhomogeneous viscous fluids for inflation
• Late Time Cosmological Evolution in f(R) theories with Ordinary and Collisional Matter
• Dynamics of viscous cosmologies in the full Israel-Stewart formalism
• No stable dissipative phantom scenario in the framework of a complete cosmological dynamics
• Bulk viscosity, interaction and the viability of phantom solutions
• Cosmological dynamics in six-order gravity

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• Astronomical bounds on a cosmological model allowing a general interaction in the dark sector
• Finite-time Cosmological Singularities and the Possible Fate of the Universe
• Effects of Anisotropic Stress in Interacting Dark Matter - Dark Energy Scenarios
• Phase Portraits of general f(T) Cosmology
• Cosmological constraints on an exponential interaction in the dark sector
• Stability analysis for cosmological models in $f(R)$ gravity using dynamical system analysis
• Large-scale (in-) stability Analysis of an Exactly Solved Coupled Dark-Energy Model
• An analysis of the $H_0$ tension problem in a universe with a viscous dark fluid
• Effects of Spatial Curvature on the $f(R)$ Gravity Phase Space: no Inflationary Attractor?
• A Study of Finite-time Singularities of Loop Quantum Cosmology Interacting Multifluids
• Phase space analysis and singularity classification for linearly interacting dark energy models
• Cosmological singularities in interacting dark energy models with an $\omega (q)$ parametrization
• Non-parametric reconstruction of interaction in the cosmic dark sector
• Autonomous Dynamical System of Einstein-Gauss-Bonnet Cosmologies
• The Classical and Loop Quantum Cosmology Phase Space of Interacting Dark Energy and Superfluid Dark Matter
• Autonomous Dynamical System Description of de Sitter Evolution in Scalar Assisted $f(R)-\varphi$ Gravity
• Dynamical analysis of the covarying coupling constants in scalar-tensor gravity
• Stability analysis of f(Q) gravity models using dynamical systems
• Dynamical system approach of non-minimal coupling in AdS/CFT cosmology
• Cosmological evolution with quadratic gravity and nonideal fluids
• Modified gravity with an exponential function of curvature
• The Phase Space of $k$-Essence $f(R)$ Gravity Theory
• Generalized Logarithmic Equation of State in Classical and Loop Quantum Cosmology Dark Energy-Dark Matter Coupled Systems
• Phase Space description of Nonlocal Teleparallel Gravity
• Dynamics of interacting scalar field model in the realm of chiral cosmology
• Dynamical description of a quintom cosmological model nonminimally coupled with gravity
• Dark effects in $f(R,P)$ gravity
• Interacting phantom dark energy: new accelerating scaling attractors
• Qualitative behavior of cosmological models combining various matter fields
• An approach to cold dark matter deviation and the $H_0$ tension problem by using machine learning
• Coupled scalar field cosmology with effects of curvature
• Cosmological dynamics of f(R) models in dynamical system analysis
• Degenerate Bogdanov-Takens bifurcations in a bulk viscous cosmology
• Generalized Interacting Dark Energy Model and Loop Quantum Cosmology
• Raychaudhuri-based reconstruction of anisotropic Einstein-Maxwell equation in 1+3 covariant formalism of $f(R)$-gravity
• Qualitative behaviour of higher-curvature gravity with boundary terms i.e the f(Q) gravity models by dynamical system analysis
• $\Lambda$CDM without cosmological constant
• Holographic description of $F(R)$ gravity coupled with Axion Dark Matter
• Phase space of multi-fluid universe in $F(T)$-gravity and some enhancements for the oscillating interaction model
• Late time attractors of some varying Chaplygin gas cosmological models