A Cosmological Model with Fermionic Field and Gauss-Bonnet Term

In this work, a cosmological model inspired by string theory with Gauss-Bonnet term coupled to the fermionic field is taken into consideration. The self-interaction potential is considered as a combination of the scalar and pseudo-scalar invariants. Here the cosmological contribution of the coupling of Gauss-Bonnet term with a non-Dirac fermionic field–characterized by an $\mathit{\text{interaction}}\mathit{\text{term}}$$L_{DG}^2$– is investigated. It is observed that the new type of coupling plays a significant role in the accelerating behavior of the universe. Specifically, in addition to the late time acceleration for the universe, $L_{DG}^2$ produces an early decelerating behavior. The behavior of the equation-of-state parameter $(w)$ is such that it guarantees the stability of the theory.