General analytic formulae for attractor solutions of scalar-field dark energy models and their multi-field generalizations
arXiv:hep-th/0601178 · doi:10.1103/PhysRevD.73.103504
Abstract
We study general properties of attractors for scalar-field dark energy scenarios which possess cosmological scaling solutions. In all such models there exists a scalar-field dominant solution with an energy fraction Ω_ϕ=1 together with a scaling solution. A general analytic formula is given to derive fixed points relevant to dark energy coupled to dark matter. We investigate the stability of fixed points without specifying the models of dark energy in the presence of non-relativistic dark matter and provide a general proof that a non-phantom scalar-field dominant solution is unstable when a stable scaling solution exists in the region Ω_ϕ<1. A phantom scalar-field dominant fixed point is found to be classically stable. We also generalize the analysis to the case of multiple scalar fields and show that for a non-phantom scalar field assisted acceleration always occurs for all scalar-field models which have scaling solutions. For a phantom field the equation of state approaches that of cosmological constant as we add more scalar fields.
11 pages, no figures, version to appear in Physical Review D
References in corpus (7)
- Cosmology and the Fate of Dilatation Symmetry
- Can dark energy evolve to the Phantom?
- Cosmology of Mass-Varying Neutrinos Driven by Quintessence: Theory and Observations
- Constraints on the coupled quintessence from cosmic microwave background anisotropy and matter power spectrum
- Cosmological Evolution of Interacting Dark Energy Models with Mass Varying Neutrinos
- Cosmological Scaling Solutions and Cross-coupling Exponential Potential
- The Classical Stability Of The Ghost Condensate
Cited by in corpus (75)
- Dynamics of dark energy
- Quintessence: A Review
- Are f(R) dark energy models cosmologically viable ?
- Dynamical systems applied to cosmology: dark energy and modified gravity
- Modified gravity and its reconstruction from the universe expansion history
- Probing the Coupling between Dark Components of the Universe
- String-inspired Gauss-Bonnet gravity reconstructed from the universe expansion history and yielding the transition from matter dominance to dark energy
- Phantom scalar dark energy as modified gravity: understanding the origin of the Big Rip singularity
- The new form of the equation of state for dark energy fluid and accelerating universe
- The landscape, the swampland and the era of precision cosmology
- f(R) gravity theories in Palatini formalism: cosmological dynamics and observational constraints
- Challenges for scaling cosmologies
- Anisotropic Power-law Inflation
- Quintom cosmologies admitting either tracking or phantom attractors
- Dynamics of Logamediate Inflation
- 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
- Planck constraints on single-field inflation
- Effective action approach to cosmological perturbations in dark energy and modified gravity
- Interacting polytropic gas model of phantom dark energy in non-flat universe
- Anisotropic power-law k-inflation
- Quintessence reconstructed: new constraints and tracker viability
- Exact Analysis of Scaling and Dominant Attractors Beyond the Exponential Potential
- Interacting new agegraphic tachyon, K-essence and dilaton scalar field models of dark energy in non-flat universe
- A Quintom scenario with mixed kinetic terms
- A New Approach to Quintessence and a Solution of Multiple Attractors
- The generalized second law of gravitational thermodynamics on the apparent and event horizons in FRW cosmology
- Stability Analysis in Tachyonic Potential Chameleon cosmology
- Unveiling the Dynamics of the Universe
- Dynamics of a scalar field in Robertson-Walker spacetimes
- The generalized second law in irreversible thermodynamics for the interacting dark energy in a non-flat FRW universe enclosed by the apparent horizon
- Dark energy: investigation and modeling
- Scaling solutions and weak gravity in dark energy with energy and momentum couplings
- Exact Solutions in Chiral Cosmology
- Coupled dark energy: a dynamical analysis with complex scalar field
- Some remarks about non-minimally coupled scalar field models
- Doppelgänger dark energy: modified gravity with non-universal couplings after GW170817
- Assisted coupled quintessence
- Cosmological Dynamics of a Dirac-Born-Infeld field
- Dynamical analysis for a vector-like dark energy
- Coupled quintessence and the impossibility of an interaction: a dynamical analysis study
- Multiple kinetic k-essence, phantom barrier crossing and stability
- A new approach in stability analysis: case study: tachyon cosmology with non-minimally coupled scalar field-matter
- Cosmological Evolution of Dirac-Born-Infeld Field
- Towards scaling cosmological solutions with full coupled Horndeski Lagrangian: the KGB model
- Reconstructing interacting new agegraphic polytropic gas model in non-flat FRW universe
- Quintessence dynamics with two scalar fields and mixed kinetic terms
- Assisted dark energy
- Cosmological Solutions in Multiscalar Field Theory
- Coupled tachyonic dark energy: a dynamical analysis
- Stability of multi-field cosmological solutions
- Interacting entropy-corrected new agegraphic dark energy in non-flat universe
- Intermediate accelerated solutions as generic late-time attractors in a modified Jordan-Brans-Dicke theory
- The generalized second law for the interacting generalized Chaplygin gas model
- Cosmological perturbations and dynamical analysis for interacting quintessence
- Cosmological Scaling Solutions for Multiple Scalar Fields
- Cosmological disformal transformations to the Einstein frame and gravitational couplings with matter perturbations
- Phase-space of flat Friedmann-Robertson-Walker models with both a scalar field coupled to matter and radiation
- Most general cubic-order Horndeski Lagrangian allowing for scaling solutions and the application to dark energy
- Imperfect fluid cosmological model in modified gravity
- Observational constraints on assisted k-inflation
- Attractor Solutions in Lorentz Violating Scalar-Vector-Tensor Theory
- Phase-space analysis of the cosmological 3-fluid problem: Families of attractors and repellers
- Dissecting kinetically coupled quintessence: phenomenology and observational tests
- Holographic dilatonic model of dark energy
- Dynamics of k-essence in loop quantum cosmology
- Scalar Dark Energy Models and Scalar-Tensor Gravity: Theoretical Explanations for the Accelerated Expansion of Present Universe
- Dynamics of tachyon field in spatially curved FRW universe
- Quantum effects from particle production on background evolution and Cardy-Verlinde formula in f(R) gravity
- Crossing the cosmological constant barrier with kinetically interacting double quintessence
- DESI constraints on two-field quintessence with exponential potentials
- Late time acceleration in 3-brane Brans-Dicke cosmology
- Interacting dark fluid in the universe bounded by event horizon : A non-equilibrium prescription
- Scaling solutions in three-form cosmology
- Stability of Neutron Star and Cosmological Constant