Noether symmetry for non-minimally coupled fermion fields

Details Noether symmetry for non-minimally coupled fermion fields Noether symmetry for non-minimally coupled fermion fields

2008-07-12

arxiv.org/abs/0807.1965v2

Class.Quant.Grav.25:225006,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Revised version accepted for publication in Classical and Quantum Gravity

Scientific paper

10.1088/0264-9381/25/22/225006

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.

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