Challenges for scaling cosmologies

Abstract

A cosmological model that aims at solving the coincidence problem should show that dark energy and dark matter follow the same scaling solution from some time onward. At the same time, the model should contain a sufficiently long matter-dominated epoch that takes place before acceleration in order to guarantee a decelerated epoch and structure formation. So a successful cosmological model requires the occurrence of a sequence of epochs, namely a radiation era, a matter-dominated era and a final accelerated scaling attractor with ${\Omega }_{\varphi }\simeq 0.7$. In this paper we derive the generic form of a scalar-field Lagrangian that possesses scaling solutions in the case where the coupling $Q$ between dark energy and dark matter is a free function of the field $\varphi$. We then show, rather surprisingly, that the aforementioned sequence of epochs cannot occur for a vast class of generalized coupled scalar field Lagrangians that includes, to our knowledge, all scaling models in the current literature.

14 pages, 3 figures

References in corpus (89)

• An Alternative to Compactification
• The Cosmological Constant and Dark Energy
• Cosmological Imprint of an Energy Component with General Equation of State
• A Phantom Menace? Cosmological consequences of a dark energy component with super-negative equation of state
• Cosmological Constant - the Weight of the Vacuum
• The Case for a Positive Cosmological Lambda-term
• Cosmology and the Fate of Dilatation Symmetry
• Quintessence, Cosmic Coincidence, and the Cosmological Constant
• The Cosmological Constant
• Phantom Energy and Cosmic Doomsday
• A Dynamical Solution to the Problem of a Small Cosmological Constant and Late-time Cosmic Acceleration
• Essentials of k-essence
• Coupled Quintessence
• Chameleon Fields: Awaiting Surprises for Tests of Gravity in Space
• Chameleon Cosmology
• Cosmological Tracking Solutions
• Exponential potentials and cosmological scaling solutions
• Kinetically Driven Quintessence
• Can the dark energy equation-of-state parameter w be less than -1?
• Properties of singularities in (phantom) dark energy universe
• Accelerated expansion of the universe driven by tachyonic matter
• Late-time cosmology in (phantom) scalar-tensor theory: dark energy and the cosmic speed-up
• Cosmology with Ultra-light Pseudo-Nambu-Goldstone Bosons
• Cosmology with a Primordial Scaling Field
• Reconstruction of a scalar-tensor theory of gravity in an accelerating universe
• Inhomogeneous Equation of State of the Universe: Phantom Era, Future Singularity and Crossing the Phantom Barrier
• Scaling solutions in general non-minimal coupling theories
• Quintessence arising from exponential potentials
• A classification of scalar field potentials with cosmological scaling solutions
• Cosmological Evolution of the Rolling Tachyon
• Cosmology with tachyon field as dark energy
• Ghost Inflation
• Structure formation with a self-tuning scalar field
• Dark Matter and Dark Energy
• A New Cosmological Model of Quintessence and Dark Matter
• Interacting quintessence solution to the coincidence problem
• Cosmological Dynamics of Phantom Field
• Cosmological scaling solutions of non-minimally coupled scalar fields
• Cardassian Expansion: a Model in which the Universe is Flat, Matter Dominated, and Accelerating
• The cosmon model for an asymptotically vanishing time-dependent cosmological ``constant''
• Dark Energy from Mass Varying Neutrinos
• Extended Quintessence
• Generalised Israel Junction Conditions for a Gauss-Bonnet Brane World
• Dilatonic ghost condensate as dark energy
• Quintessence, the Gravitational Constant, and Gravity
• Scalar-Tensor Gravity and Quintessence
• Constraints on the interacting holographic dark energy model
• General Gauss-Bonnet brane cosmology
• Tracking and coupled dark energy as seen by WMAP
• Dark Energy: the equation of state description versus scalar-tensor or modified gravity
• Coupled dark energy: Towards a general description of the dynamics
• Statefinder diagnostic for coupled quintessence
• Crossing of the w=-1 Barrier by D3-brane Dark Energy Model
• Interacting dark energy, holographic principle and coincidence problem
• Dark Energy and Dark Matter
• Observational constraints on interacting quintessence models
• Cosmology with massive neutrinos coupled to dark energy
• Dark energy and cosmological solutions in second-order string gravity
• A unified approach to scaling solutions in a general cosmological background
• Crossing the Phantom Divide Barrier with Scalar Tensor Theories
• N-body simulations for coupled dark energy: halo mass function and density profiles
• Stationary dark energy with a baryon-dominated era: solving the coincidence problem with a linear coupling
• Coupled Quintessence in a Power-Law Case and the Cosmic Coincidence Problem
• Growth of perturbations in dark matter coupled with quintessence
• Loop Corrections to Scalar Quintessence Potentials
• Dark Energy and Neutrino Mass Limits from Baryogenesis
• Phantom damping of matter perturbations
• Scaling Solutions and reconstruction of Scalar Field Potentials
• General analytic formulae for attractor solutions of scalar-field dark energy models and their multi-field generalizations
• Scaling Solutions in Robertson-Walker Spacetimes
• K-Chameleon and the Coincidence Problem
• A Viable Cosmology with a Scalar Field Coupled to the Trace of the Stress-Tensor
• Reconstruction of general scalar-field dark energy models
• Constraints on the coupled quintessence from cosmic microwave background anisotropy and matter power spectrum
• Cosmological Scaling Solutions and Multiple Exponential Potentials
• The stability of cosmological scaling solutions
• Cosmological Evolution of Interacting Dark Energy Models with Mass Varying Neutrinos
• Phantom energy mediates a long-range repulsive force
• K-essential Leptogenesis
• On the potentials yielding cosmological scaling solutions
• Cosmological Scaling Solutions and Cross-coupling Exponential Potential
• Exact scaling solutions and fixed points for general scalar field
• No evidence for Dark Energy Metamorphosis ?
• Cosmo MSW effect for mass varying neutrinos
• Generalised cosmological scaling solutions
• Scaling solutions in scalar-tensor cosmologies
• Cosmological evolution of general scalar fields in a brane-world cosmology
• Supernova Constraints on Models of Neutrino Dark Energy
• Fluctuations, Ghosts, and the Cosmological Constant

Cited by in corpus (110)

• Dynamics of dark energy
• Conditions for the cosmological viability of f(R) dark energy models
• Quintessence: A Review
• Dark Matter and Dark Energy Interactions: Theoretical Challenges, Cosmological Implications and Observational Signatures
• Dynamical systems applied to cosmology: dark energy and modified gravity
• Large-scale instability in interacting dark energy and dark matter fluids
• Probing the Coupling between Dark Components of the Universe
• Dynamics of dark energy with a coupling to dark matter
• Matter density perturbations and effective gravitational constant in modified gravity models of dark energy
• Dark energy in Horndeski theories after GW170817: A review
• Gauss-Bonnet Quintessence: Background Evolution, Large Scale Structure and Cosmological Constraints
• Linear and nonlinear interactions in the dark sector
• Interacting Dark Energy -- constraints and degeneracies
• Dark Interactions and Cosmological Fine-Tuning
• Interacting Agegraphic Dark Energy
• Anisotropic Power-law Inflation
• Interacting models may be key to solve the cosmic coincidence problem
• Statefinder Diagnostic and w-w' Analysis for the Agegraphic Dark Energy Models without and with Interaction
• Matter density perturbations in interacting quintessence models
• Phase-space analysis of interacting phantom cosmology
• Notes on $f(T)$ Theories
• Cosmological constraints on interacting dark energy with redshift-space distortion after Planck data
• String-inspired cosmology: Late time transition from scaling matter era to dark energy universe caused by a Gauss-Bonnet coupling
• On the way from matter-dominated era to dark energy universe
• Correspondence between kinematical backreaction and scalar field cosmologies - the `morphon field'
• Dynamics of Interacting Quintessence Models: Observational Constraints
• Cosmological dynamics with non-linear interactions
• Distinguishing Between Void Models and Dark Energy with Cosmic Parallax and Redshift Drift
• Impact of three years of data from the Wilkinson Microwave Anisotropy Probe on cosmological models with dynamical dark energy
• Anisotropic power-law k-inflation
• Phantom dark energy with varying-mass dark matter particles: acceleration and cosmic coincidence problem
• Quintessence reconstructed: new constraints and tracker viability
• Scalar-field dark energy nonminimally and kinetically coupled to dark matter
• Exact Analysis of Scaling and Dominant Attractors Beyond the Exponential Potential
• Analytic spectrum of relic gravitational waves modified by neutrino free streaming and dark energy
• A New Approach to Quintessence and a Solution of Multiple Attractors
• Cosmological constraints on coupled dark energy
• Dark D-brane Cosmology
• Cosmological dynamics of dark energy in scalar-torsion $f(T,\varphi )$ gravity
• 2-loop Quantum Yang-Mills Condensate as Dark Energy
• Distinguishing interacting dark energy from wCDM with CMB, lensing, and baryon acoustic oscillation data
• Dynamics of a scalar field in Robertson-Walker spacetimes
• Yang-Mills condensate dark energy coupled with matter and radiation
• Statefinder Diagnostic for Dilaton Dark Energy
• Dark energy: investigation and modeling
• Scaling solutions and weak gravity in dark energy with energy and momentum couplings
• Interacting Cosmological Fluids and the Coincidence Problem
• Coupled dark energy: a dynamical analysis with complex scalar field
• Unified early and late Universe cosmology through dissipative effects in steep quintessential inflation potential models
• Fine Tuning Free Paradigm of Two Measures Theory: K-Essence, Absence of Initial Singularity of the Curvature and Inflation with Graceful Exit to Zero Cosmological Constant State
• Doppelgänger dark energy: modified gravity with non-universal couplings after GW170817
• Phase-space analysis of a class of k-essence cosmology
• Weak cosmic growth in coupled dark energy with a Lagrangian formulation
• Dynamical analysis for a vector-like dark energy
• Coupled quintessence and the impossibility of an interaction: a dynamical analysis study
• Energy exchange for homogeneous and isotropic universes with a scalar field coupled to matter
• Stability of scalar perturbations in scalar-torsion $f(T,\varphi )$ gravity theories in the presence of a matter fluid
• Tracker and scaling solutions in DHOST theories
• Variable Cosmological Constant model: the reconstruction equations and constraints from current observational data
• Cosmological Evolution of Dirac-Born-Infeld Field
• Towards scaling cosmological solutions with full coupled Horndeski Lagrangian: the KGB model
• Coupled quintessence with double exponential potentials
• Dark-Energy Dynamics Required to Solve the Cosmic Coincidence
• Dynamics of three-form dark energy with dark matter couplings
• Assisted dark energy
• Coupled tachyonic dark energy: a dynamical analysis
• SNLS data are consistent with acceleration at z=3
• Perturbations in a scalar field model with virtues of $\Lambda$CDM
• Coupled vector dark energy
• The general form of the coupled Horndeski Lagrangian that allows cosmological scaling solutions
• Dilaton Coupled Quintessence Model in the $\omega -{\omega }^{\prime }$ Plane
• Born-Infeld Type Phantom Model in the $\omega -{\omega }^{\prime }$ Plane
• Cosmological perturbations and dynamical analysis for interacting quintessence
• Cosmological Scaling Solutions for Multiple Scalar Fields
• New scaling solutions in cubic Horndeski theories
• Limits on the parameters of the equation of state for interacting dark energy
• Wormhole solutions supported by interacting dark matter and dark energy
• Gravitational Lensing Constraints on Dynamical and Coupled Dark Energy
• Axion-Dilaton Cosmology and Dark Energy
• Most general cubic-order Horndeski Lagrangian allowing for scaling solutions and the application to dark energy
• Observational constraints on assisted k-inflation
• Attractor Solutions in Lorentz Violating Scalar-Vector-Tensor Theory
• Exact cosmological solutions of models with an interacting dark sector
• Scaling Cosmologies of N=8 Gauged Supergravity
• Supernova constraints on Multi-coupled Dark Energy
• Expanding Universe: slowdown or speedup?
• It's a dark, dark world: Background evolution of interacting $\varphi$CDM models beyond simple exponential potentials
• Dissecting kinetically coupled quintessence: phenomenology and observational tests
• Coupled quintessence with a generalized interaction term
• Coupled dark energy model inspired from general conformal transformation
• Interacting agegraphic dark energy models in phase space
• Cosmology In Terms Of The Deceleration Parameter. Part II
• Scalar - Tensor gravity with scalar -matter direct coupling and its cosmological probe
• Scalar Dark Energy Models and Scalar-Tensor Gravity: Theoretical Explanations for the Accelerated Expansion of Present Universe
• Constraining cosmological scaling solutions of a Galileon field
• Dynamics of tachyon field in spatially curved FRW universe
• Dynamics of two-scalar-field cosmological models beyond the exponential potential
• The Matter Power Spectrum of Dark Energy Models and the Harrison-Zel'dovich Prescription
• A gracious exit from the matter-dominated phase in a quantum cosmic phantom model
• Chameleon dark matter stars
• Potentials of Coupled Quintessence Based on a Dilaton
• Tracker coupled quintessence
• Inconsistences in Interacting Agegraphic Dark Energy Models
• The frozen vanilla model: Exploring dark sector interactions with delta effective theories
• Teleparallel Poincaré Cosmology and $\Lambda$CDM Model
• Cosmic evolution in DHOST theories with scaling solutions
• Accelerating scaling solutions from dark matter particle creation
• The model-independent degeneracy-breaking point in cosmological models with interacting Dark Energy and Dark Matter
• Parametrization of Born-Infeld Type Phantom Dark Energy Model
• Perturbations In Some Dark Energy Models