Starobinsky model with f-essence

TL;DR

This paper explores a cosmological model combining the Starobinsky $F(R)$ gravity with f-essence, deriving field equations and showing fermionic fields can explain the universe's nature.

Contribution

It introduces a novel coupling of the Starobinsky model with f-essence and analyzes the resulting field equations and solutions.

Findings

Fermionic fields can describe the universe's nature.

Derived specific solutions for the coupling and fermionic functions.

Demonstrated the viability of the model in cosmological contexts.

Abstract

In this paper, we consider a cosmological model of the flat and homogeneous universe for the Starobinsky model $F(R)=\alpha R + \beta R^{2}$, which is non-minimally coupled with f-essence. For this model we obtained the field equations and considered particular solutions of the coupling and fermionic field functions. It is shown that the fermionic field can describe a nature of the universe.