Noether symmetry for non-minimally coupled fermion fields

Understand

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.