Variational symmetries and superintegrability in multifield cosmology
arXiv:2104.13649 · doi:10.1103/PhysRevD.105.044010
Abstract
We consider a spatially flat Friedmann--Lema\^ıtre--Robertson--Walker background space with an ideal gas and a multifield Lagrangian consisting of two minimally coupled scalar fields which evolve in a field space of constant curvature. For this cosmological model we classify the potential function for the scalar fields such that variational point symmetries exist. The corresponding conservation laws are calculated. Finally, analytic solutions are presented for specific functional forms of the scalar field potential in which the cosmological field equations are characterized as a Liouville integrable system by point symmetries. The free parameters of the cosmological model are constrained in order to describe analytic solutions for an inflationary epoch. Finally, stability properties of exact closed-form solutions are investigated. These solutions are scaling solutions with important physical properties for the cosmological model.
34 pages, 13 figures, 2 tables
References in corpus (24)
- Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
- Dynamics of dark energy
- Cosmology and the Fate of Dilatation Symmetry
- In the Realm of the Hubble tension a Review of Solutions
- Improved Cosmological Constraints from New, Old and Combined Supernova Datasets
- Covariant Galileon
- Quintessence: a mini-review
- Dark energy from modified gravity with Lagrange multipliers
- Using the Noether symmetry approach to probe the nature of dark energy
- New derivation of the Lagrangian of a perfect fluid with a barotropic equation of state
- Unified Dark Matter in Scalar Field Cosmologies
- Interacting Dark Energy in a closed universe
- Two scalar field cosmology: Conservation laws and exact solutions
- Primordial perturbations from inflation with a hyperbolic field-space
- Hyperinflation generalised: from its attractor mechanism to its tension with the `swampland conjectures'
- Global integrability of cosmological scalar fields
- Two-scalar-field model for the interaction of dark energy and dark matter
- Halos of Unified Dark Matter Scalar Field
- Two scalar field cosmology from coupled one-field models
- Dynamics and chaos in the unified scalar field Cosmology
- Integrable modified gravity cosmological models with an additional scalar field
- Classical and quantum exact solutions for a FRW in chiral like cosmology
- -field cosmology in hyperbolic field space: stability and general solutions
- Infinite dimensional symmetry groups of the Friedmann equations