Noether symmetry for non-minimally coupled fermion fields

Abstract

A cosmological model where a fermion field is non-minimally coupled with the gravitational field is studied. By applying Noether symmetry the possible functions for the potential density of the fermion field and for the coupling are determined. Cosmological solutions are found showing that the non-minimally coupled fermion field behaves as an inflaton describing an accelerated inflationary scenario, whereas the minimally coupled fermion field describes a decelerated period being identified as dark matter.

Revised version accepted for publication in Classical and Quantum Gravity

References in corpus (19)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• The Cosmological Constant and Dark Energy
• Spinors, Inflation, and Non-Singular Cyclic Cosmologies
• Fermions as sources of accelerated regimes in cosmology
• Spinor Field in Bianchi type-I Universe: regular solutions
• The phase space view of f(R) gravity
• Top ten accelerating cosmological models
• Higher-Order Corrections to the Effective Gravitational Action from Noether Symmetry Approach
• Bianchi type I cosmology with scalar and spinor fields
• Noether symmetry in $f(R)$ cosmology
• Interacting Spinor and Scalar Fields in Bianchi type-I Universe filled with Perfect Fluid: Exact Self-consistent Solutions
• Nonlinear spinor field in cosmology
• Cosmological model with non-minimally coupled fermionic field
• Spin-driven inflation
• Accelerating universe in scalar tensor models - confrontation of theoretical predictions with observations
• Phantom cosmologies and fermions
• Model for a Universe described by a non-minimally coupled scalar field and interacting dark matter
• Constraining scalar-tensor quintessence by cosmic clocks

Cited by in corpus (37)

• f(R) theories
• Noether Symmetry in $f(T)$ Theory
• Invariant solutions and Noether symmetries in Hybrid Gravity
• Noether gauge symmetry for $f(R)$ gravity in Palatini formalism
• Teleparallel dark energy model with a fermionic field via Noether symmetry
• Constraining non-minimally coupled tachyon fields by Noether symmetry
• Nonlinear Spinor Fields and its role in Cosmology
• Fermionic cosmologies with Yukawa type interactions
• Cosmological model with fermion and tachyon fields interacting via Yukawa-type potential
• Nonlinear Spinor Fields in Bianchi type-I spacetime: Problems and Possibilities
• Scalar-Tensor Teleparallel Gravity With Boundary Term by Noether Symmetries
• Fermion field as inflaton, dark energy and dark matter
• Nonlinear Spinor field in isotropic space-time and dark energy models
• Spinor model of a perfect fluid and their applications in Bianchi type-I and FRW models
• Fermion fields in Einstein-Cartan theory and the accelerated-decelerated transition in a primordial Universe
• Dirac field as a source of the inflation in 2+1 dimensional Teleparallel gravity
• Torsion gravity with non-minimally coupled fermionic field: some cosmological models
• Analysis of the non-minimally coupled scalar field in the Palatini formalism by the Noether symmetry approach
• Nonlinear Spinor Fields in Bianchi type-I spacetime reexamined
• Ultraviolet Unitarity Violations in Non-minimally Coupled Scalar-Starobinsky Inflation
• Non minimally coupled condensate cosmologies: a phase space analysis
• Conformally-coupled dark spinor and FRW universe
• Spinor fields in $f(\mathcal{Q})$-gravity
• Ghost free boson-fermion co-existence system
• Isotropization in Bianchi type-I cosmological model with fermions and bosons interacting via Yukawa potential
• Dark Sector from Interacting Canonical and Non-Canonical Scalar Fields
• Cosmic expansion from boson and fermion fields
• Nonlinear Spinor Fields in Bianchi type-VI spacetime
• Non minimally coupled condensate cosmologies: matching observational data with phase space
• Nonlinear Spinor Fields in Bianchi type-$V{I}_0$ spacetime
• Nonlinear Spinor Fields in Bianchi type-III spacetime
• Cosmology of fermionic dark energy coupled to curvature
• Dirac spinors and their application to Bianchi-I space-times in 5 dimensions
• Fermionic Tachyons as a Source of Dark Energy
• Scalar field in cosmology: Potential for isotropization and inflation
• Exit from accelerated regimes by symmetry breaking in a universe filled with fermionic and bosonic sources
• Nonlinear Spinor Fields in LRS Bianchi type-I spacetime: Theory and observation