Generalized Scalar Field Cosmologies: A Global Dynamical Systems Formulation
arXiv:2007.11990 · doi:10.1088/1361-6382/abc095
Abstract
Local and global phase-space descriptions and averaging methods are used to find qualitative features of solutions for the FLRW and the Bianchi I metrics in the context of scalar field cosmologies with arbitrary potentials and arbitrary couplings to matter. The stability of the equilibrium points in a phase-space as well as the dynamics in the regime where the scalar field diverges are studied. Equilibrium points that represent some solutions of cosmological interest such as: several types of scaling solutions, a kinetic dominated solution representing a stiff fluid, a solution dominated by an effective energy density of geometric origin, a quintessence scalar field dominated solution, the vacuum de Sitter solution associated to the minimum of the potential, and a non-interacting matter dominated solution are obtained. All reveal a very rich cosmological phenomenology.
arXiv commentThis manuscript supersedes arXiv:1912.09856v4 [gr-qc]. 50 pages, 8 compound figures
References in corpus (90)
- The Case for a Positive Cosmological Lambda-term
- Cosmology and the Fate of Dilatation Symmetry
- Exponential potentials and cosmological scaling solutions
- Late-time cosmology in (phantom) scalar-tensor theory: dark energy and the cosmic speed-up
- Reconstructing the Inflaton Potential --- an Overview
- Quintessence arising from exponential potentials
- A New Cosmological Model of Quintessence and Dark Matter
- Unified phantom cosmology: inflation, dark energy and dark matter under the same standard
- Reconstructing the universe history, from inflation to acceleration, with phantom and canonical scalar fields
- Phase-Space analysis of Teleparallel Dark Energy
- A new cosmological tracker solution for Quintessence
- Quintessence and Scalar Dark Matter in the Universe
- Reconstructing the Inflaton Potential---in Principle and in Practice
- Gravitational induced particle production through a nonminimal curvature-matter coupling
- Dynamical behavior in cosmology
- Can Horndeski Theory be recast using Teleparallel Gravity?
- Quintom cosmologies admitting either tracking or phantom attractors
- Phase-space analysis of Horava-Lifshitz cosmology
- Using the Noether symmetry approach to probe the nature of dark energy
- Quintom cosmologies with arbitrary potentials
- Dynamical behavior in mimetic F(R) gravity
- The Dynamics of Multi-Scalar Field Cosmological Models and Assisted Inflation
- Dynamics of Quintessence Models of Dark Energy with Exponential Coupling to the Dark Matter
- Dynamical analysis of generalized Galileon cosmology
- Selected topics in scalar-tensor theories and beyond
- Stability of a non-minimally conformally coupled scalar field in F(T) cosmology
- Dynamical analysis in scalar field cosmology
- Cosmological behavior in extended nonlinear massive gravity
- Dynamical analysis of anisotropic scalar-field cosmologies for a wide range of potentials
- Dynamics of the anisotropic Kantowsky-Sachs geometries in gravity
- Two scalar field cosmology: Conservation laws and exact solutions
- Scalar Field Cosmologies and the Initial Space-Time Singularity
- SCALAR FIELD COSMOLOGIES WITH PERFECT FLUID IN ROBERTSON-WALKER METRIC
- The past and future dynamics of quintom dark energy models
- Observational Constraints on New Exact Inflationary Scalar-field Solutions
- Interacting Phantom Energy and Avoidance of the Big Rip Singularity
- The Inflaton Field as Self-Interacting Dark Matter in the Braneworld Scenario
- Phantom dark energy with varying-mass dark matter particles: acceleration and cosmic coincidence problem
- A model of the Universe including Dark Energy accounted for by both a Quintessence Field and a (negative) Cosmological Constant
- Dynamics of Scalar Field Dark Matter With a Cosh-like Potential
- Reviving Horndeski Theory using Teleparallel Gravity after GW170817
- Extended Quintessence with non-minimally coupled phantom scalar field
- On the Past Asymptotic Dynamics of Non-minimally Coupled Dark Energy
- Late-time cosmology of scalar-tensor theories with universal multiplicative coupling between the scalar field and the matter Lagrangian
- Dynamical Analysis of an Integrable Cubic Galileon Cosmological Model
- Singularities In Scalar-Tensor Cosmologies
- Dynamics of a scalar field in Robertson-Walker spacetimes
- Noether symmetries and stability of ideal gas solution in Galileon Cosmology
- Global dynamics and inflationary center manifold and slow-roll approximants
- Exact Solutions in Chiral Cosmology
- Cartan symmetries and global dynamical systems analysis in a higher-order modified teleparallel theory
- Preinflationary dynamics in loop quantum cosmology: Monodromy Potential
- Some remarks about non-minimally coupled scalar field models
- Exact models with non-minimal interaction between dark matter and (either phantom or quintessence) dark energy
- Dynamical system analysis at background and perturbation levels: Quintessence in severe disadvantage comparing to CDM
- Dynamics of a Self-interacting Scalar Field Trapped in the Braneworld for a Wide Variety of Self-interaction Potentials
- Gravity with an Axion-like Particle: Dynamics, Gravity Waves, Late and Early-time Phenomenology
- Late-time oscillatory behaviour for self-gravitating scalar fields
- Energy exchange for homogeneous and isotropic universes with a scalar field coupled to matter
- The generality of inflation in closed cosmological models with some quintessence potentials
- Kantowski-Sachs Einstein-Aether Scalar Field Cosmological Models
- Scalar-field cosmologies with an arbitrary potential
- Closed cosmologies with a perfect fluid and a scalar field
- Static Spherically Symmetric Einstein-aether models II: Integrability and the Modified Tolman-Oppenheimer-Volkoff approach
- Spatially Homogeneous Einstein-Aether Cosmological Models: Scalar Fields with a Generalized Harmonic Potential
- On the reliability of inflaton potential reconstruction
- Extended phase-space analysis of the Horava-Lifshitz cosmology
- Inflationary -attractor cosmology: A global dynamical systems perspective
- Self-similar spherically symmetric cosmological models with a perfect fluid and a scalar field
- Cosmology with nonminimal kinetic coupling and a Higgs-like potential
- Dynamics of Einstein-Aether Scalar field Cosmology
- Szekeres Universes with Homogeneous Scalar Fields
- Thawing models in the presence of a generalized Chaplygin gas
- Cosmological Evolution of Two-Scalar fields Cosmology in the Jordan frame
- Global structure of static spherically symmetric solutions surrounded by quintessence
- Dust fluid component from Lie symmetries in Scalar field Cosmology
- General dynamical properties of cosmological models with nonminimal kinetic coupling
- On the oscillations and future asymptotics of locally rotationally symmetric Bianchi type III cosmologies with a massive scalar field
- The dynamical behaviour of homogeneous scalar-field spacetimes with general self-interaction potentials
- Cubic Derivative Interactions and Asymptotic Dynamics of the Galileon Vacuum
- Generalized scalar field cosmologies: theorems on asymptotic behavior
- Stability of a modified Jordan-Brans-Dicke theory in the dilatonic frame
- Dynamical systems analysis of the cubic galileon beyond the exponential potential and the cosmological analogue of the vDVZ discontinuity
- Cosmological solutions in Hořava-Lifshitz gravity
- Bifurcations in Ratra-Peebles quintessence models and their extensions
- Evolution of density perturbations in double exponential quintessence models
- Late time evolution of a nonminimally coupled scalar field system
- Cosmology in time asymmetric extensions of general relativity
- Qualitative analysis and characterization of two cosmologies including scalar fields
- Late time evolution of negatively curved FLRW models
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- Time-averaging axion-like interacting scalar fields models
- Averaging Generalized Scalar Field Cosmologies I: Locally Rotationally Symmetric Bianchi III and open Friedmann-Lemaître-Robertson-Walker models
- Averaging Generalized Scalar Field Cosmologies II: Locally Rotationally Symmetric Bianchi I and flat Friedmann-Lemaître-Robertson-Walker models
- Scalar field evolution at background and perturbation levels for a broad class of potentials
- A dynamical system analysis of bouncing cosmology with spatial curvature
- Quintessence scalar field and cosmological constant: Dynamics of a multi-component dark energy model
- Modified Brans-Dicke cosmology with Minimum Length Uncertainty
- Gravitational collapse of a spherical scalar field
- Global models of collapsing scalar field: endstate