Noether symmetry in $F(T)$ gravity with $f$-essence

TL;DR

This paper investigates $F(T)$ gravity with $f$-essence using Noether symmetry to identify viable models and derive cosmological solutions describing different universe expansion phases.

Contribution

It introduces a method to determine specific forms of $F(T)$ and fermionic Lagrangian $K$ via Noether symmetry in $f$-essence cosmology.

Findings

Identified forms of $F(T)$ compatible with Noether symmetry.

Derived cosmological solutions for accelerated and decelerated universe phases.

Provided a framework for analyzing fermionic fields in teleparallel gravity.

Abstract

In $F(T)$ gravity theory, a Friedman-Robertson-Walker cosmological model with $f$-essence where fermion field is non-minimally coupled with the gravitational field is studied. Using the Noether symmetry approach the possible forms of $F(T)$ gravity and the non-canonical fermionic lagrangian $K$ are determined. Cosmological solutions of the condered models describing the accelerated and decelerated periods of the universe are found.