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.
This manuscript supersedes arXiv:1912.09856v4 [gr-qc]. 50 pages, 8 compound figures
References in corpus (26)
- Cosmology and the Fate of Dilatation Symmetry
- Reconstructing the universe history, from inflation to acceleration, with phantom and canonical scalar fields
- Dynamical behavior in cosmology
- Quintom cosmologies admitting either tracking or phantom attractors
- Using the Noether symmetry approach to probe the nature of dark energy
- Quintom cosmologies with arbitrary potentials
- Dynamical behavior in mimetic F(R) gravity
- 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
- Two scalar field cosmology: Conservation laws and exact solutions
- Observational Constraints on New Exact Inflationary Scalar-field Solutions
- Extended Quintessence with non-minimally coupled phantom scalar field
- Late-time cosmology of scalar-tensor theories with universal multiplicative coupling between the scalar field and the matter Lagrangian
- 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
- 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
- Late-time oscillatory behaviour for self-gravitating scalar fields
- Dust fluid component from Lie symmetries in Scalar field Cosmology
- The dynamical behaviour of homogeneous scalar-field spacetimes with general self-interaction potentials
- Generalized scalar field cosmologies: theorems on asymptotic behavior
- Evolution of density perturbations in double exponential quintessence models
- Qualitative analysis and characterization of two cosmologies including scalar fields
Cited by in corpus (9)
- 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