Time-averaging axion-like interacting scalar fields models
arXiv:2107.04651 · doi:10.1140/epjc/s10052-021-09802-5
Abstract
In this paper, we study a cosmological model inspired in the axionic matter with two canonical scalar fields and interacting through a term added to its potential. Introducing novel dynamical variables, and a dimensionless time variable, the resulting dynamical system is studied. The main difficulties arising in the standard dynamical systems approach, where expansion normalized dynamical variables are usually adopted, are due to the oscillations entering the nonlinear system through the Klein-Gordon (KG) equations. This motivates the analysis of the oscillations using methods from the theory of averaging nonlinear dynamical systems. We prove that time-dependent systems, and their corresponding time-averaged versions, have the same late-time dynamics. Then, we study the time-averaged system using standard techniques of dynamical systems. We present numerical simulations as evidence of such behavior.
arXiv comment35 pages, 7 compound figures
References in corpus (115)
- Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
- Measurements of Omega and Lambda from 42 High-Redshift Supernovae
- Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
- The Complete Light-curve Sample of Spectroscopically Confirmed Type Ia Supernovae from Pan-STARRS1 and Cosmological Constraints from The Combined Pantheon Sample
- Quintessence, Cosmic Coincidence, and the Cosmological Constant
- Axions In String Theory
- Exponential potentials and cosmological scaling solutions
- Raising the bar: new constraints on the Hubble parameter with cosmic chronometers at z2
- Late-time cosmology in (phantom) scalar-tensor theory: dark energy and the cosmic speed-up
- Reconstructing the Inflaton Potential --- an Overview
- Planck 2013 results. XX. Cosmology from Sunyaev-Zeldovich cluster counts
- Interacting Quintessence
- Dark Matter and Dark Energy Interactions: Theoretical Challenges, Cosmological Implications and Observational Signatures
- Purely kinetic k-essence as unified dark matter
- Completing Natural Inflation
- Interacting quintessence solution to the coincidence problem
- N-flation
- How many cosmological parameters?
- Unified phantom cosmology: inflation, dark energy and dark matter under the same standard
- Phenomenology of a realistic accelerating universe using only Planck-scale physics
- Cosmology with Interaction between Phantom Dark Energy and Dark Matter and the Coincidence Problem
- Aspects of the cosmological "coincidence problem"
- Reconstructing the universe history, from inflation to acceleration, with phantom and canonical scalar fields
- Phase-Space analysis of Teleparallel Dark Energy
- A review of Axion Inflation in the era of Planck
- Reconstructing the Inflaton Potential---in Principle and in Practice
- Gravitational induced particle production through a nonminimal curvature-matter coupling
- On a Light Spinless Particle Coupled to Photons
- Dynamical behavior in cosmology
- Phase-space analysis of Horava-Lifshitz cosmology
- Using the Noether symmetry approach to probe the nature of dark energy
- Enlarged quintessence cosmology
- Quintom cosmologies with arbitrary potentials
- Dynamical behavior in mimetic F(R) gravity
- Interacting Phantom Energy
- The Dynamics of Multi-Scalar Field Cosmological Models and Assisted Inflation
- Generalizing the generalized Chaplygin gas
- Perturbations in a coupled scalar field cosmology
- 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
- Dynamical analysis in scalar field cosmology
- Stability of a non-minimally conformally coupled scalar field in F(T) cosmology
- Cosmological behavior in extended nonlinear massive gravity
- Dynamical analysis of anisotropic scalar-field cosmologies for a wide range of potentials
- Scaling Solutions in Robertson-Walker Spacetimes
- Quantum Field Theory of Interacting Dark Matter/Dark Energy: Dark Monodromies
- 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
- New Constraints on a Light Spinless Particle Coupled to Photons
- The past and future dynamics of quintom dark energy models
- Interacting Phantom Energy and Avoidance of the Big Rip Singularity
- Observational Constraints on New Exact Inflationary Scalar-field Solutions
- Phantom dark energy with varying-mass dark matter particles: acceleration and cosmic coincidence problem
- Dark energy, dissipation and the coincidence problem
- Axion model in extra dimensions with TeV scale gravity
- 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
- Cosmology with nonminimal kinetic coupling and a power-law potential
- Noether symmetries and stability of ideal gas solution in Galileon Cosmology
- Global dynamics and inflationary center manifold and slow-roll approximants
- Windows over a New Low Energy Axion
- Cartan symmetries and global dynamical systems analysis in a higher-order modified teleparallel theory
- Exact Solutions in Chiral Cosmology
- Dynamical system analysis at background and perturbation levels: Quintessence in severe disadvantage comparing to CDM
- 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
- 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 SUGRA Quintessence Model Coupled to the MSSM
- Kantowski-Sachs Einstein-Aether Scalar Field Cosmological Models
- Non-minimally coupled scalar field cosmology with torsion
- Scalar-field cosmologies with an arbitrary potential
- Spatially Homogeneous Einstein-Aether Cosmological Models: Scalar Fields with a Generalized Harmonic Potential
- On the reliability of inflaton potential reconstruction
- Static Spherically Symmetric Einstein-aether models II: Integrability and the Modified Tolman-Oppenheimer-Volkoff approach
- Closed cosmologies with a perfect fluid and a scalar field
- Extended phase-space analysis of the Horava-Lifshitz cosmology
- Self-similar spherically symmetric cosmological models with a perfect fluid and a scalar field
- Coupled quintessence with double exponential potentials
- Axiology
- Interacting quintessence in light of Generalized Uncertainty Principle: Cosmological perturbations and dynamics
- Cosmology with nonminimal kinetic coupling and a Higgs-like potential
- Coupled Multi-Proca Vector Dark Energy
- Large Field Inflation and Gravitational Entropy
- Dynamics of Einstein-Aether Scalar field Cosmology
- Szekeres Universes with Homogeneous Scalar Fields
- Cosmological Evolution of Two-Scalar fields Cosmology in the Jordan frame
- Dust fluid component from Lie symmetries in Scalar field Cosmology
- Global structure of static spherically symmetric solutions surrounded by quintessence
- General dynamical properties of cosmological models with nonminimal kinetic coupling
- Is the axionic dark matter an equilibrium system?
- The dynamical behaviour of homogeneous scalar-field spacetimes with general self-interaction potentials
- Perturbations of the Lambda-CDM model in a dynamical systems perspective
- On the oscillations and future asymptotics of locally rotationally symmetric Bianchi type III cosmologies with a massive scalar field
- Cubic Derivative Interactions and Asymptotic Dynamics of the Galileon Vacuum
- Stability of a modified Jordan-Brans-Dicke theory in the dilatonic frame
- Generalized Scalar Field Cosmologies: A Global Dynamical Systems Formulation
- Monotonic functions in Bianchi models: Why they exist and how to find them
- Averaging Generalized Scalar Field Cosmologies I: Locally Rotationally Symmetric Bianchi III and open Friedmann-Lemaître-Robertson-Walker models
- Averaging with a time-dependent perturbation parameter
- Dynamical systems analysis of the cubic galileon beyond the exponential potential and the cosmological analogue of the vDVZ discontinuity
- Global dynamics of Yang-Mills field and perfect-fluid Robertson-Walker cosmologies
- Averaging Generalized Scalar Field Cosmologies II: Locally Rotationally Symmetric Bianchi I and flat Friedmann-Lemaître-Robertson-Walker models
- Cosmological solutions in Hořava-Lifshitz gravity
- Bifurcations in Ratra-Peebles quintessence models and their extensions
- Late time evolution of a nonminimally coupled scalar field system
- Cosmology in time asymmetric extensions of general relativity
- Dynamical systems in perturbative scalar field cosmology
- Qualitative analysis and characterization of two cosmologies including scalar fields
- Late time evolution of negatively curved FLRW models