Noether symmetry analysis of anisotropic universe in $f(T,B)$ gravity

TL;DR

This paper explores Noether symmetries in an anisotropic universe model within $f(T,B)$ gravity, deriving exact solutions that align with the universe's accelerated expansion.

Contribution

It identifies Noether symmetries in $f(T,B)$ gravity for Bianchi type I spacetime and finds exact cosmological solutions including matter-dominated scenarios.

Findings

Exact solutions consistent with accelerated expansion

Identification of symmetry generators in $f(T,B)$ models

Application to matter-dominated universe

Abstract

The present work is devoted to investigate the Noether symmetries of the locally rotationally symmetric Bianchi type I space time in $f(T,B)$ gravity theory which depends on the torsion scalar $T$ and the boundary term $B$. In this theory, we consider some particular models and investigate their Noether symmetry generators. Besides, we get exact cosmological solutions of the considering models including the matter dominant universe using the Noether symmetry technique. The obtained results are coincide with the accelerated expansion behaviour of the universe.