Cosmological dynamical systems of non-minimally coupled fluids and scalar fields
arXiv:2509.14440 · doi:10.1007/s10714-025-03502-1
Abstract
We study the cosmological dynamics of non-minimally coupled matter models using the Brown's variational approach to relativistic fluids in General Relativity. After decomposing the Ricci scalar into a bulk and a boundary term, we construct new models by coupling the bulk term to the fluid variables and an external scalar field. Using dynamical systems techniques, we study models of this type and find that they can give rise to both early-time inflationary behaviour and late-time accelerated expansion. Moreover, these models also contain very interesting features that are rarely seen in this context. For example, we find dark energy models which exhibit phantom crossing in the recent past. Other possibilities include models that give a viable past evolution but terminate in a matter-dominated universe. The dynamical systems themselves display an array of mathematically interesting phenomena, including spirals, centres, and non-trivial bifurcations depending on the chosen parameter values.
arXiv comment31 pages, 6 figures. v2 matches version published in GRG
References in corpus (47)
- Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
- Measurements of Omega and Lambda from 42 High-Redshift Supernovae
- Dynamics of dark energy
- Quintessence, Cosmic Coincidence, and the Cosmological Constant
- Exponential potentials and cosmological scaling solutions
- Tensions between the Early and the Late Universe
- Quintessence: A Review
- Dark Matter and Dark Energy Interactions: Theoretical Challenges, Cosmological Implications and Observational Signatures
- Cosmology Intertwined II: The Hubble Constant Tension
- Dynamical systems applied to cosmology: dark energy and modified gravity
- Action functionals for relativistic perfect fluids
- Testing General Relativity in Cosmology
- Covariant conservation of energy momentum in modified gravities
- Phase-Space analysis of Teleparallel Dark Energy
- Conformal symmetry and accelerating cosmology in teleparallel gravity
- Cosmology in generalized Proca theories
- Models of coupled dark matter to dark energy
- Cosmological coincidence problem in interacting dark energy models
- Covariant formulation of scalar-torsion gravity
- Can Horndeski Theory be recast using Teleparallel Gravity?
- Scaling attractors in interacting teleparallel dark energy
- The Parameterized Post-Friedmannian Framework for Interacting Dark Energy Theories
- Cosmological dynamics of tachyonic teleparallel dark energy
- Interacting quintessence from a variational approach Part II: derivative couplings
- Interacting quintessence from a variational approach Part I: algebraic couplings
- Scalar-Fluid theories: cosmological perturbations and large-scale structure
- Brief Review of Recent Advances in Understanding Dark Matter and Dark Energy
- Modified gravity: a unified approach
- Scalar-field dark energy nonminimally and kinetically coupled to dark matter
- Dynamics of cosmological scalar fields
- Probing elastic interactions in the dark sector and the role of
- Cosmological dynamics of dark energy in scalar-torsion gravity
- Dynamical systems analysis in gravity
- Scaling solutions and weak gravity in dark energy with energy and momentum couplings
- Generalized tracker quintessence models for dark energy
- Modified gravity: a unified approach to metric-affine models
- Breaking Diffeomorphism Invariance and Tests for the Emergence of Gravity
- Velocity-dependent interacting dark energy and dark matter with a Lagrangian description of perfect fluids
- General formulation of cosmological perturbations in scalar-tensor dark energy coupled to dark matter
- Cosmological dynamical systems in modified gravity
- Reconstructing dark energy with model independent methods after DESI DR2 BAO
- Dynamical system analysis of scalar field cosmology in coincident gravity
- Spatial curvature in coincident gauge cosmology
- Dynamical system analysis of Dirac-Born-Infeld scalar field cosmology in coincident gravity
- Interacting dark sector: a dynamical system perspective
- Cosmological fluids with boundary term couplings
- Constructing Viable Interacting Dark Matter and Dark Energy Models: A Dynamical Systems Approach