Non minimally coupled condensate cosmologies: a phase space analysis

Abstract

We present an analysis of the phase space of cosmological models based on a non minimal coupling between the geometry and a fermionic condensate. We obtain that the strong constraint coming from the Dirac equations allows a detailed design of the cosmology of these models and at the same time guarantees an evolution towards a state indistinguishable from General Relativistic cosmological models. In this light, we show how the use of some specific potentials is able to reproduce naturally two de Sitter phases separated by a power law expansion which could be an interesting model for the unification of an inflationary phase and a dark energy era.

25 pages, 4 figures, submitted to Classical and Quantum Gravity

References in corpus (13)

• The Standard Model Higgs boson as the inflaton
• Disappearing cosmological constant in f(R) gravity
• Cosmological dynamics of Scalar--Tensor Gravity
• Some remarks on the dynamical systems approach to fourth order gravity
• Noether symmetry for non-minimally coupled fermion fields
• Cosmological dynamics of exponential gravity
• Cosmological model with non-minimally coupled fermionic field
• Zero Energy of Plane-Waves for ELKOs
• Fermionic cosmologies with Yukawa type interactions
• A dynamical system approach to higher order gravity
• Gauge invariant perturbations of Scalar-Tensor Cosmologies: The vacuum case
• Baryons in the large N limit of the massive two-dimensional Nambu-Jona-Lasinio model
• A Torsional Model of Leptons

Cited by in corpus (9)

• Dynamical systems applied to cosmology: dark energy and modified gravity
• A new approach to the analysis of the phase space of f(R)-gravity
• Cosmology of $f(R,\square R)$ gravity
• Phase space of modified Gauss-Bonnet gravity
• New class of generalized coupling theories
• Torsion gravity with non-minimally coupled fermionic field: some cosmological models
• Spinor fields in $f(\mathcal{Q})$-gravity
• Non minimally coupled condensate cosmologies: matching observational data with phase space
• Dirac spinors and their application to Bianchi-I space-times in 5 dimensions