Exact solutions of an anisotropic universe in a modified teleparallel gravity model via the Noether and B.N.S. approaches

TL;DR

This paper explores exact solutions for an anisotropic universe within a modified teleparallel gravity framework using Noether and B.N.S. approaches, revealing models compatible with the universe's accelerated expansion.

Contribution

It introduces a novel application of Noether and B.N.S. methods to solve field equations in a modified teleparallel gravity model with anisotropy.

Findings

Solutions align with observational data of accelerated universe

B.N.S. approach successfully solves complex field equations

Model demonstrates compatibility with late-time cosmic acceleration

Abstract

In this paper, we present the Noether symmetries of locally rotationally symmetric Bianchi type I (LRS BI), an anisotropic model, in the context of the teleparallel gravity. We study a certain modified teleparallel theory based on the action that, in particular, contains a coupling between the scalar field and field strength (magnetism part). We derive the symmetry generators and show that, by means of cyclic variables approach, we can not obtain a suitable solution for field equations. Hence by the use of B.N.S. approach, we solve the equations which carry Noether currents as well. By data analysis of the obtained results, we show compatible results with observational data at the last half the age of universe which is accelerating.