Cosmological models with spinor and scalar fields by Noether symmetry approach

Abstract

General cosmological models with spinor and scalar fields playing the role of gravitational sources are analyzed. The Noether symmetry approach is taken as a criterion to constrain the undefined potentials and couplings of the generic actions. For all the found Noether symmetries the corresponding dynamical systems can be analytically integrated. The obtained cosmological solutions describe the early and late Universe as expected by basing on the known eras of the Universe.

15 pages. To appear in Proceedings of the First Argentine-Brazilian Meeting on Gravitation, Astrophysics and Cosmology. Misprint in eq. (16) corrected