Abstract:
We investigated the gravity model F (R, T), which interacts with a fermion field
in a uniform and isotropic flat spacetime FLRW. The main idea and purpose of the work done
was to create a mathematical model and find a particular solution for the scale factor a, since
it describes the dynamics of the evolution of the Universe. The solutions for this universe are
obtained using the Noether symmetry method. With its help, a specific form of the Lagrangian
is obtained. And the possible types of the scale factor were found. The evolution of the resulting
cosmological model has been investigated.
